Prof. J.A. Carrillo's group

Publications funded by ERC grant

Preprints

• M. Zanella, A. Medaglia, Control of overpopulated tails in kinetic epidemic models, Journal of Hyperbolic Differential Equations, 23, 151–177, 2026.
• A. Medaglia, L. Pareschi, M. Zanella, A DSMC-PIC coupling method for the Vlasov–Maxwell–Landau system, Journal of Computational Physics, 564, 115160, 2026.
• A. Medaglia, A DSMC method for the space homogeneous multispecies Landau equation, accepted for publication in SEMA SIMAI Spinger Series Proceedings of the conference "Numerical Aspects of Hyperbolic Balance Laws and Related Problems" 2025.
• F. Albanese, G. Chiari,M. E. Delitala, Oxygenation and Spatial Heterogeneity Shape Radiotherapy Protocol Ranking Through Phenotypic Adaptation. Bull Math Biol 88, 196. 2026.
• C. Elbar, A. Fernández-Jiménez, F. Santambrogio, A Li-Yau and Aronson-Bénilan approach for the Keller-Segel system with critical exponent, Preprint.
• C. Elbar, A. Fernández-Jiménez, A deterministic particle approximation for a fourth-order equation, to appear in Nonlinear Analysis.
• J. A. Carrillo, P. E. Farrell, A. Medaglia, U. Zerbinati, A Kinetic Theory Approach To Ordered Fluids: Direct Simulation Monte Carlo Methods, Preprint.
• T. E. Loman, Y. Salmaniw, A. L. Villares, J. A. Carrillo, R. E. Baker, Learning functional components of PDEs from data using neural networks, Preprint.
• A. Arnold, J. A. Carrillo, D. Matthes, Nonlinear Diffusion Equations: Full characterization of Entropies, Preprint.
• J. A. Carrillo, J. Ma, M. Tang, Bridging Scales in Chemotaxis: Scale-Uniform Forward Stability for Run-and-Tumble Kernel Estimation, Preprint.
• J. A. Carrillo, S. R. Charles, G.-Q. G. Chen, D. Yuan, Nonlinear Stability and Instability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with General Pressure Laws, Preprint.
• J. A. Carrillo, D. Koo, S. Song Conditional hypocoercivity for nonlinear kinetic Fokker--Planck equations , Preprint.
• J. A. Carrillo, D. Koo, Hydrodynamic limit from nonlinear Fokker--Planck to barotropic Euler equations, Preprint.
• J. A. Carrillo, A. Jüngel, J. Skrzeczkowski, Y. Yao, Non-uniqueness of weak solutions to cross-diffusion systems with advection, Preprint.
• J. A. Carrillo, J. Skrzeczkowski, J. Warnett, Stein Variational Gradient Descent dynamics for highly concentrated kernels, Preprint.
• J. A. Carrillo, Y.-P. Choi, E. Tadmor, Lagrangian formulation and Eulerian closure in alignment dynamics, Preprint.
• J. A. Carrillo, P. Gwiazda, J. Skrzeczkowski, A new formula for the Wasserstein distance between solutions to (nonlinear) continuity equations, Preprint.
• I. Ben Porat, J. A. Carrillo, A. Holzinger, Well-posedness and mean-field limit of discontinuous weighted dynamics via the relative entropy method, Preprint.
• J. A. Carrillo, Y. Salmaniw, A. L. Villares, Numerical stationary states for nonlocal Fokker-Planck equations via fixed points of consistency maps, Preprint.
• J. A. Carrillo,  R. Duan, A. Wróblewska-Kamińska, J. Zhang, Asymptotic stability of steady states for the compressible Navier-Stokes-Riesz system in the presence of vacuum, Preprint.
• M. Pereira-Iglesias, W. D. Martinson, C. Falco, J. Maldonado-Teixido, M. Gonzalez-Rodriguez, R. Senovilla-Ganzo, E. Benito, S. Beccari, J. Valero, B. Mora-Romero, I. Ballasch, S. Viguier, P. Haene, M. Boettiger, J. A. Reisz, Y. Manso, L. Parkkinen, A. M Aransay, F. N. Soria, A. D'Alessandro, E. Soriano, M. Thion, S. Garel, M. Greter, A. Giralt, A. Pascual, F. Garcia-Moreno, D. A. Menassa, J. A. Carrillo, A. Sierra, Epigenetic control of microglial developmental milestones from proliferative progenitors to efficient phagocytes, Preprint.
• J. A. Carrillo, Y.-P. Choi, D. Koo, O. Tse, Exponential and algebraic decay in Euler--alignment system with nonlocal interaction forces, Preprint.
• J. A. Carrillo, P. E. Farrell, A. Medaglia, U. Zerbinati, A Kinetic Theory Approach to Ordered Fluids, Preprint.
• J. A. Carrillo, S. Guo, From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy, Preprint.
• J. A. Carrillo, A. Holzinger, S. Guo, Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity, Preprint.
• J. A. Carrillo, J. Skrzeczkowski, J. Warnett, The Stein-log-Sobolev inequality and the exponential rate of convergence for the continuous Stein variational gradient descent method, Preprint.
• J. A. Carrillo, K. Lin, Sharp critical mass criteria for weak solutions to a degenerate cross-attraction system, Preprint.
• J. A. Carrillo, A. Esposito, J. Skrzeczkowski, J. Wu, Nonlocal particle approximation for linear and fast diffusion equations, Preprint.
• J. A. Carrillo, S. Jin, H. Zhang, Y. Zhu, An interacting particle consensus method for constrained global optimization, Preprint.
• J. A. Carrillo, X. Dou, P. Roux, Z. Zhou, Classical solutions of a mean field system for pulse-coupled oscillators: long time asymptotics versus blowup, Preprint.
• G. Estrada-Rodriguez, D. Peurichard, X. Ruan, Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit, Preprint.
• R. Shu, J. Wang, The Sharp Erdős-Turán Inequality, Preprint.

Published

1. L. M. Briceño-Arias, J. A. Carrillo, D. Kalise, F. J. Silva, L. Wang, A Proximal Primal-Dual Approach to Generalized JKO Schemes for Doubly Nonlinear Parabolic Equations, to appear in DCDS-A.
2. J. A. Carrillo, X. Wang, Fokker-Planck equations on discrete infinite graphs, to appear in SIAM J. Math. Anal.
3. G. Borghi, J. A. Carrillo, Variational inference via Gaussian interacting particles in the Bures-Wasserstein geometry, to appear in Proceedings of Machine Learning Research, ICML 2026.
4. J. A. Carrillo, Y. Salmaniw, Long-time behaviour and bifurcation analysis of a two-species aggregation-diffusion system on the torus, Cal. Var. PDEs 65, number 19, 2026.
5. E. Akhmatskaya, L. Nagar, J. A. Carrillo, L. Gavira-Balmacz, H. Inouzhe, M. Parga-Pazos, M. X. Rodríguez-Álvarez, Adaptive tuning of Hamiltonian Monte Carlo methods, Appl. Math. Model. 157, Paper No. 116892, 2026.
6. J. A. Carrillo, S. Fronzoni, Y. Nakatsukasa, E. Süli, A minimax method for the spectral fractional Laplacian and related evolution problems, to appear in J. of the LMS.
7. J. A. Carrillo, K. F. Chan, R. Duan, Z. Li, Inelastic Boltzmann equation under shear heating, Kinet. Relat. Models 21, 1–40, 2026.
8. J. A. Carrillo, A. Esposito, L. Mikolás, Evolution equations on co-evolving graphs: long-time behaviour and the graph continuity equation, J. Nonlinear Sci. 36, 31, 2026.
9. J. A. Carrillo, R. C. Fetecau, H. Park, Existence of ground states for free energies on the hyperbolic space, to appear in Canadian J. Math.
10. J. A. Carrillo, R. C. Fetecau, H. Park, Global minimizers for fast diffusion versus nonlocal interactions on negatively curved manifolds, to appear in Adv. Cal. Var.
11. J. A. Carrillo, B. Li, L. Xie, Boundedness and stability of a 2-D parabolic-elliptic system arising in biological transport networks, Science China Mathematics 69, 2643–2666, 2026.
12. I. Ben-Porat, J. A. Carrillo, P.-E. Jabin, Singular flows with time-varying weights, Arch. Ration. Mech. Anal. 250, Paper No 4. 2026.
13. J. A. Carrillo, S. R. Charles, G.-Q. G. Chen, D. Yuan, Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with Large Initial Data of Spherical Symmetry, Comm. Math. Phys. 407, Art. 209, 2026.
14. J. Kim, H. Jeong, C. Falco, A. M. Hruska, W. D. Martinson, A. Marzoratti, M. Araiza, H. Yang, C. Franck, J. A. Carrillo, M. Guo, I. Y. Wong, Collective Transitions from Orbiting to Matrix Invasion in 3D Multicellular Spheroids, Nat. Phys. (2026).
15. V. Castin, P. Ablin, J. A. Carrillo, G. Peyré, A Unified Perspective on the Dynamics of Deep Transformers, to appear in Foundations of Computational Mathematics.
16. C. Elbar, J. Skrzeczkowski, Nonlocal-to-local convergence of the Cahn-Hilliard equation with degenerate mobility and the Flory-Huggins potential, Nonlinear Analysis 261, art. 113870, 2025..
17. J. A. Carrillo, A. Fernández-Jiménez, D. Gómez-Castro, Drift-diffusion equations with saturation, SIAM J. Math. Anal. 57, 6300–6360, 2025.
18. J. A. Carrillo, X. Feng, S. Guo, P.-E. Jabin, Z. Wang, Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules, J. Math. Pures Appl. 206, Paper No. 103838, 2026.
19. J. A. Carrillo, Y. Chen, D. Z. Huang, J. Huang, D. Wei, Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities, SIAM J. Math. Anal. 58, 1062-1099, 2026.
20. J. A. Carrillo, Y. Salmaniw, J. Skrzeczkowski, Well-posedness of aggregation-diffusion systems with irregular kernels, Ann. Inst. H. Poincaré C Anal. Non Linéaire 43, 1201–1258, 2026.
21. L. Chen, A. Holzinger, A. Jüngel, Fluctuations around the mean-field limit for attractive Riesz potentials in the moderate regime, Arch. Rat. Mech. Anal., 250(1), 5, 2026..
22. I. P. A. Papadopoulos, T. S. Gutleb, J. A. Carrillo, S. Olver, A frame approach for equations involving the fractional Laplacian, to appear in IMA J. Num. Anal.
23. J. A. Carrillo, S. Fronzoni, E. Süli, Finite Element Approximation of the Fractional Porous Medium Equation, Numer. Math. 157, 1537–1614, 2025.
24. J. A. Carrillo, S. Guo, Interacting particle approximation of cross-diffusion systems, Nonlinearity 39, Paper No. 025009, 2026.
25. J. A. Carrillo, M. Thalhammer, Novel approaches for the reliable and efficient numerical evaluation of the Landau operator, to appear in Comm. Comp. Phys.
26. J. A. Carrillo, S. T. Galtung, Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems, Math. Ann. 395, Paper No. 93, 2026.
27. J. A. Carrillo, X. Chen, B. Du, A. Jüngel, Fluid relaxation approximation of the Busenberg–Travis cross-diffusion system, Comm. Math. Phys. 406, Paper No. 151, 2025.
28. C. Falcó, R. E. Baker, J. A. Carrillo, A Nonlocal-to-Local Approach to Aggregation-Diffusion Equations, SIAM Review 67, 353–372, 2025.
29. J. A. Carrillo, G.-Q. G. Chen, D. Yuan, E. Zatorska, Global solutions of the one-dimensional compressible Euler equations with nonlocal interactions via the inviscid limit, Archive for Rational Mechanics and Analysis 249, 38, 2025.
30. J. A. Carrillo, H. Murakawa, M. Sato, M. Wang, A new paradigm considering multicellular adhesion, repulsion and attraction represents diverse cellular tile patterns, PLOS Computational Biology 21, e1011909, 2025.
31. J. A. Carrillo, T. Lorenzi, F. R. Macfarlane, Spatial segregation across travelling fronts in individual-based and continuum models for the growth of heterogeneous cell populations, B. Math. Bio. 87, number 77, 2025.
32. J. A. Carrillo, H. Liu, H. Yu, Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker-Planck equations, Comm. Appl. Ind. Math. 16, 19-40, 2025.
33. L. Chen, A. Holzinger, X. Huo, Quantitative convergence in relative entropy for a moderately interacting particle system on Rd, Electron. J. Probab. 30, Paper No. 76, 2025.
34. C. Elbar, J. Skrzeczkowski, On the inviscid limit connecting Brinkman's and Darcy's models of tissue growth with nonlinear pressure, Journal of Mathematical Fluid Mechanics, 27, art. 28, 2025.
35. J. A. Carrillo, G. Estrada-Rodriguez, L. Mikolas, S. Tang, Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion, Math. Mod. Meth. Appl. Sci. 35, 1073-1131, 2025.
36. J. A. Carrillo, P. Roux, Nonlinear partial differential equations in neuroscience: from modelling to mathematical theory, Math. Mod. Meth. Appl. Sci. 35, 403-584, 2025.
37. R. Shu, J. Wang, Generalized Erdős-Turán inequalities and stability of energy minimizers, to appear in J. European Math. Soc.
38.   R. Bailo, J. A. Carrillo, D. Gómez-Castro, Aggregation-Diffusion Equations for Collective Behaviour in the Sciences, SIAM News online.
39.   L. Boccardo, D. Gómez-Castro, J. I. Díaz, Failure of the strong maximum principle for linear elliptic with singular convection of non-negative divergence, Electronic Journal of Differential Equations, 13, 2024.
40.   R. Bailo, A. Barbaro, S.N. Gomes, K. Riedl, T. Roith, C. Totzeck, U. Vaes, CBX: Python and Julia packages for consensus-based interacting particle methods, Journal of Open Source Software 9, 98, 2024.
41.   R. Bailo, J. A. Carrillo, A. Medaglia, M. Zanella, Uncertainty Quantification for the Homogeneous Landau-Fokker-Planck Equation via Deterministic Particle Galerkin methods, Multiscale Model. Simul. 23, 687-710, 2025.
42. A. Esposito, G. Heinze, A. Schlichting, Graph-to-local limit for the nonlocal interaction equation, J. Math. Pures Appl. 194, 103663, 2025.
43. J. A. Carrillo, J. Hu, S. Q. Van Fleet, A particle method for the multispecies Landau equation, Acta Appl. Math. 194, 6, 2024.
44. J. A. Carrillo, R. Shu, L. Wang, W. Xu, To blow-up or not to blow-up for a granular kinetic equation, Physica D, 470, 134410, 2024.
45. J. A. Carrillo, P. Roux, S. Solem, Well-posedness and stability of a stochastic neural field in the form of a partial differential equation, J. Math. Pures Appl. 193, 103623, 2025.
46. J. A. Carrillo, F. Hoffmann, A. M. Stuart, U. Vaes, The Ensemble Kalman Filter in the Near-Gaussian Setting, SIAM J. Numerical Analysis 62, 2549–2587, 2024.
47. I. Ben-Porat, J. A. Carrillo, P.-E. Jabin, The graph limit for a pairwise competition model, J. Differential Equations 413, 329-369, 2024.
48. A. Clini, On the fluctuations of an SDE system modelling grid cells, Ann. Inst. Henri Poincaré Probab. Stat. 61, 1765–1793, 2025.
49. J. A. Carrillo, A. Fernández-Jiménez, D. Gómez-Castro, Partial mass concentration for fast-diffusions with non-local aggregation terms, J. Diff. Eqns. 409, 700-773, 2024.
50. J. A. Carrillo, G. Hong, Z.-A. Wang, Convergence of boundary layers of chemotaxis models with physical boundary conditions I: degenerate initial data , SIAM J. Math. Anal. 56, 7576-7643, 2024.
51. J . A. Carrillo, N. Garcia-Trillos, S. Li, Y. Zhu, FedCBO: Reaching Group Consensus in Clustered Federated Learning through Consensus-based Optimization, Journal of Machine Learning Research 25, 1−51, 2024.
52. R. Bailo, J. A. Carrillo, J. Hu, The Collisional Particle-In-Cell Method for the Vlasov-Maxwell-Landau Equations, J. Plasma Physics 90, 905900415, 2024.
53. J. A. Carrillo, C, Elbar, J. Skrzeczkowski, Degenerate Cahn-Hilliard systems: From nonlocal to local, Comm. Comp. Math. 27, 2450041, 2025.
54. J. A. Carrillo, A. Esposito, C. Falcó, A. Fernández-Jiménez, Competing effects in fourth-order aggregation-diffusion equations, Proc. London Math. Soc. 129, e12623, 2024.
55. J. A. Carrillo, J. Skrzeczkowski, Convergence and stability results for the particle system in the Stein gradient descent method, Maths. Comp. 94, 1793-1814, 2025.
56. J. A. Carrillo, S. Guo, P.-E. Jabin, Mean-field derivation of Landau-like equations, Appl. Math. Letters 158, Paper No. 109195, 2024.
57. J. A. Carrillo, D. Gómez-Castro, Interpreting systems of continuity equations in spaces of probability measures through PDE duality, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 118, Paper No. 127, 2024.
58. N. J. Alves, J. A. Carrillo, Y.-P. Choi, Weak-strong uniqueness and high-friction limit for Euler-Riesz systems, Comm. Math. Anal. Appl. 3, 266-286, 2024.
59. P. Gwiazda, J. Skrzeczkowski, L. Trussardi, On the rate of convergence of Yosida approximation for the nonlocal Cahn-Hilliard equation, IMA Journal of Numerical Analysis 45, 68-86, 2025.
60. W. D. Martinson, A. Volkening, M. Schmidtchen, C. Venkataraman, J. A. Carrillo, Linking discrete and continuous models of cell birth and migration, R. Soc. Open Sci. 11, 232002, 2024. Supplementary Material: Movies and Simulations.
61. C. Falcó, D. J. Cohen, J. A. Carrillo, R. E. Baker, Quantifying cell cycle regulation by tissue crowding, Biophysical Journal 124, 923-932, 2025.
62. A. Esposito, R. S. Gvalani, A. Schlichting, M. Schmidtchen, On a novel gradient flow structure for the aggregation equation, Calc. Var. PDE, 63, 126, 2024.
63.  A. Esposito, L. Mikolás, On evolution PDEs on co-evolving graphs, Discrete & Continuous Dynamical Systems - A 9, 2660-2683, 2024.
64. R. Bailo, J. A. Carrillo, S. Fronzoni, D. Gómez-Castro, A Finite-Volume Scheme for Fractional Diffusion on Bounded Domains, European J. Appl. Math. 36, 398–418, 2025.
65. J. A. Carrillo, A. Esposito, J. S.-H. Wu, Nonlocal approximation of nonlinear diffusion equations, Calc. Var. PDE, 63, 100, 2024.
66. M. Burger, A. Esposito, Porous medium equation and cross-diffusion systems as limit of nonlocal interaction, Nonlinear Analysis, 235, 113347, 2023.
67.  A. Esposito, G. Heinze, J.-F. Pietschmann, A. Schlichting, Graph-to-local limit for a multi-species nonlocal cross-interaction system, Proceedings in Applied Mathematics and Mechanics 23, e202300094, 2023.
68.  T. S. Gutleb, J. A. Carrillo, A static memory sparse spectral method for time-fractional PDEs in arbitrary dimensions, J. Comput. Phys. 494, 112522, 2023.
69. A. Esposito, F. S. Patacchini, A. Schlichting, On a Class of Nonlocal Continuity Equations on Graphs, European Journal of Applied Mathematics, 1-18, 2023.
70. I. Ben Porat, J. A. Carrillo, S. T. Galtung, Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights, Nonlinear Anal. 240, No. 113462, 2024.
71. J. A. Carrillo, L. Wang, C. Wei, Structure preserving primal dual methods for gradient flows with nonlinear mobility transport distances, SIAM J. Num. Anal. 62, 376-399, 2024.
72. J. A. Carrillo, R. Shu, Minimizers of 3D anisotropic interaction energies, Adv. Calc. Var. 17, 775–803, 2024.
73. J. A. Carrillo, Y. Peng, Z. Xiang, Global existence and decay rates to self-consistent chemotaxis-fluid system, Discrete Contin. Dyn. Syst. 44, 116–153, 2024.
74. J. A. Carrillo, X. Dou, Z. Zhou, A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit, SIAM J. Math. Anal. 56, 676-726, 2024.
75. J. A. Carrillo, R. Shu, Existence of radial global smooth solutions to the pressureless Euler-Poisson equations with quadratic confinement, Arch. Rat. Mech. Anal. 247, 73, 2023.
76. C. Falcó, D. J. Cohen, J. A. Carrillo, R. E. Baker, Quantifying tissue growth, shape and collision via continuum models and Bayesian inference, J. R. Soc. Interface 20, 20230184, 2023.
77. J. A. Carrillo, Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Dissipative measure-valued solutions to the Euler-Poisson equation, SIAM J. Math. Anal. 56, 304-335, 2024.
78. R. Bailo, J. A. Carrillo, S. Kalliadasis, S. P. Perez, Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation, Comm. Comp. Physics. 34, 713-748, 2023.
79. W. D. Martinson, R. McLennan, J. M. Teddy, M. C. McKinney, L. A. Davidson, R. E. Baker, H. M. Byrne, P. M. Kulesa, P. K. Maini, Dynamic fibronectin assembly and remodeling by leader neural crest cells prevents jamming in collective cell migration, eLife 12, e83792, 2023. 
80. J. A. Carrillo, P. Roux, S. Solem, Noise-driven bifurcations in a nonlinear Fokker-Planck system describing stochastic neural fields, Physica D: Nonlinear Phenomena 449, 133736, 2023.
81. N. Abatangelo, D. Gómez-Castro, J. L. Vázquez, Singular boundary behaviour and large solutions for fractional elliptic equations, J. LMS 107, 568-615, 2023.
82. H. Chan, D. Gómez-Castro, J. L. Vázquez, Singular solutions for fractional parabolic boundary value problems, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 4, 159, 2022.
83. A. Leculier, P. Roux, Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system, Acta Applicandae Mathematicae, 180, p. 1, 2022.
84. K. Ikeda, P. Roux, D. Salort, D. Smets, Theoretical study of the emergence of periodic solutions for the inhibitory NNLIF neuron model with synaptic delay, Mathematical Neuroscience and Applications 2, 2022.
85. J. A. Carrillo, M. G. Delgadino, J. S. H. Wu, Convergence of a particle method for a regularized spatially homogeneous Landau equation, Math. Mod. Meth. Appl. Sci. 33, 971-1008, 2023.
86. R. Bailo, J. A. Carrillo, J. Hu, Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation, SIAM J. Appl. Math. 83, 1315-1339, 2023.
87. J. A. Carrillo, A. Clini, S. Solem, The mean field limit of stochastic differential equation systems modelling grid cells, SIAM J. Math. Anal. 55, 3602-3634.
88. C. Falcó, R. E. Baker, J. A. Carrillo, A local continuum model of cell-cell adhesion, SIAM J. Appl. Math. 84, S17-S42, 2024.
89.  J. A. Carrillo, R. S. Gvalani, J. Wu, An invariance principle for gradient flows in the space of probability measures, J. Diff. Eqns. 345, 233-284, 2023.
90.  T. S. Gutleb, J. A. Carrillo, S. Olver, Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension, Cons. Approx. 58, 75-120, 2023.
91.  J. A. Carrillo, D. Gómez-Castro, Y. Yao, C. Zeng, Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel, Arch. Rat. Mech. Anal. 247, Paper No. 11, 2023.
92.  J. A. Carrillo, M. G. Delgadino, L. Desvillettes, J. Wu, The Landau equation as a Gradient Flow, Analysis & PDE 17-4, 1331-1375, 2024.
93.  J. A. Carrillo, R. Shu, From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials, Calc. Var. Partial Differential Equations 62, Art. 28, 2023.
94.  J. A. Carrillo, R. Shu, Global Minimizers of a Large Class of Anisotropic Attractive-Repulsive Interaction Energies in 2D, Comm. Pure Appl. Math. 77, 1353-1404, 2024.
95.  F. Alvarez, J. A. Carrillo, J. Clairambault, Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits, J. Math. Bio. 85, Art. 64, 2022.
96.  S. Abo, J. A. Carrillo, A. T. Layton, Can the clocks tick together despite the noise? Stochastic simulations and analysis, SIAM J. Appl. Dyn. Systems 22, 850-877, 2023..
97.  M. Bruna, M. Burger, A. Esposito, S. Schulz, Phase Separation in Systems of Interacting Active Brownian Particles, SIAM J. Appl. Math. 82, 1635–1660, 2022.
98.  M. Bruna, M. Burger, A. Esposito, S. Schulz, Well-posedness of an integro-differential model for active Brownian particles, SIAM J. Math. Anal. 54, 5662-5697, 2022.
99.  J. A. Carrillo, H. Holden, S. Solem, Noise-driven bifurcations in a neural field system modelling networks of grid cells, J. Math. Bio. 85, Art. 42, 2022.
100.  F. Magaletti, M. Gallo, S. P. Pérez, J. A. Carrillo, S. Kalliadasis, A positivity-preserving scheme for fluctuating hydrodynamics, Journal of Computational Physics 463, 111248, 2022.
101.  R. Bailo, T. Rey, Projective and telescopic projective integration for non-linear kinetic mixtures, Journal of Computational Physics 458, 111082, 2022.
102.  J. A. Carrillo, S. Jin, Y. Tang, Random batch particle methods for the homogeneous Landau equation, Commun. Comput. Phys. 31, 997-1019, 2022.
103.  J. A. Carrillo, D. Kalise, F. Rossi, E. Trélat, Controlling swarms towards flocks and mills, SIAM J. Control and Optimization 60, 1863-1891, 2022.
104.  T. S. Gutleb, J. A. Carrillo, S. Olver, Computing Equilibrium Measures with Power Law Kernels, Math. Comp. 91, 2247–2281, 2022.
105.  J. A. Carrillo, M. Delgadino, J. Wu, Boltzmann to Landau from the Gradient Flow Perspective, Nonlinear Anal. 219, Paper No. 112824, 2022.
106.  J. A. Carrillo, D. Gómez-Castro, J. L. Vázquez,  Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility, Adv. Nonlinear Anal. 11, 937-967, 2022.
107.  J.A. Carrillo, M. G. Delgadino, R. L. Frank, M. Lewin, Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solution, Math. Models Methods Appl. Sci. 32, 831-850, 2022.
108.  J.A. Carrillo, Y.-P. Choi, Y. Peng, Large friction-high force fields limit for the nonlinear Vlasov-Poisson-Fokker-Planck system, Kinetic and Related Models 15, 355-384, 2022.
109.  J.A. Carrillo, L. Chen, Q. Wang, An Optimal Mass Transport Method for Random Genetic Drift, SIAM J. Numer. Anal. 60, 940-969, 2022.
110.  J.A. Carrillo,  D. Gómez-Castro, J.L. Vázquez, Infinite-time concentration in Aggregation-Diffusion equations with a given potential, J. Math. Pures et Appl. 157, 346-398, 2022.
111.  J.A. Carrillo, F. Hoffmann, A. M. Stuart, U. Vaes. Consensus Based Sampling, Stud. Appl. Math. 148, 1069-1140, 2022. Supplementary Material: Movies and Simulations.
112.  J. A. Carrillo, J. Hu, Z. Ma, T. Rey, Recent development in kinetic theory of granular materials: analysis and numerical methods, in: Albi G., Merino-Aceituno S., Nota A., Zanella M. (eds) Trails in Kinetic Theory. SEMA SIMAI Springer Series, vol 25. Springer, Cham., 2021.
113.  J. A. Carrillo, D. Matthes, M.-T. Wolfram, Lagrangian schemes for Wasserstein gradient flows, Chapter 4, Handbook of Numerical Analysis 22, 271-311, Elsevier, 2021.
114.  J. A. Carrillo, D. Gómez-Castro, J. L. Vázquez,  A fast regularisation of a Newtonian vortex equation, Ann. Inst. H. Poincaré C Anal. Non Linéaire 39, 705-747, 2022.
115.  J. I. Diaz, D. Gómez-Castro. T. A. Shaposhnikova, Nonlinear reaction-diffusion processes for nanocomposites-anomalous improved homogenization. De Gruyter Series in Nonlinear Analysis and Applications, 39. De Gruyter, Berlin, 2021.
116.  L. Brasco, D. Gómez-Castro, J. L. Vázquez, Characterisation of homogeneous fractional Sobolev spaces, Calculus of Variations and Partial Differential Equations, 60(2), 60, 2021.
117.  F. del Teso, D. Gómez-Castro, J. L. Vázquez, Three representations of the fractional-Laplacian: semigroup, extension and Balakrishnan formulas. Fract. Calc. Appl. Anal. 24 (2021), no. 4, 966-1002.
118.  J. A. Carrillo, K. Lin, Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system, Adv. Nonlinear Analysis 11, 1-39, 2022.
119.  A. Barbaro, D. Balagué, J. A. Carrillo, R. Volkin, Analysis of spherical shell solutions for the radially symmetric Aggregation Equation, SIAM J. Appl. Dyn. Sys. 9, 2628-2657, 2020.
120.  N. Kruk, J. A. Carrillo, H. Koeppel, A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles, J. Comp. Phys. 440, 110275, 2021. Supplementary Material: Movies and Simulations.
121.  J. A. Carrillo, Y.-P. Choi,  Mean-field limits: from particle descriptions to macroscopic equations, Arch. Rat. Mech. Anal. 241, 1529-1573. 2021.
122.  J. A. Carrillo, S. Kalliadasis, F. Liang, S. P. Pérez, Enhancement of damaged-image prediction through Cahn-Hilliard Image Inpainting, R. Soc. Open Sci. 8, 201294, 2021.
123.  J. A. Carrillo, Y.-P. Choi, J. Jung, Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces, Math. Mod. Meth. Appl. Sci. 31, 327-408, 2021.
124.  J. A. Carrillo, L. Wang, W. Xu, M. Yan,  Variational Asymptotic Preserving Scheme for the Vlasov-Poisson-Fokker-Planck System, Multiscale Model. Simul. 19, 478–505, 2021.
https://doi.org/10.1137/20m1350431
125.  J. A. Carrillo, M. J. Castro, S. Kalliadasis, S. P. Perez,  High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy, SIAM J. Sci. Computing 43, A828-A858, 2021.
126.  J. A. Carrillo, M. Parisot, Z. Szymańska,  Mathematical Modelling of Collagen Fibers Rearrangement During Tendon Healing Process, Kinetic and Related Models 14, 283-301, 2021.
127.  R. Bailo, J. A. Carrillo, H. Murakawa, M. Schmidtchen, Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations, Math. Mod. Meth. Appl. Sci. 30, 2487-2522, 2020.
128.  M. Bruna, M. Burger, J. A. Carrillo, Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient-flow structure , European J. Appl. Math. 32, 711-745, 2021.
129.  N. Kruk, J. A. Carrillo, H. Koeppel,  Traveling Bands, Clouds, and Vortices of Chiral Active Matter, Physical Review E 102, 022604, 2020
130.  J. A. Carrillo, B. Düring, L. M, Kreusser, C.-B. Schönlieb,  Equilibria of an anisotropic nonlocal interaction equation: Analysis and numerics, DCDS-A 41, 3985-4012, 2021.
131.  J. A. Carrillo, R. S. Gvalani,  Phase transitions for nonlinear nonlocal aggregation-diffusion equations, Comm. Math. Phys. 382, 485-545, 2021.
132.  M. Bostan, J. A. Carrillo,  Fluid models with phase transition for kinetic equations in swarming, Math. Models and Meth. in the Appl. Sci. 30, 2023-2065, 2020.
133.  J.A. Carrillo, U. Vaes,  Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations, Nonlinearity 34, 2275-2295, 2021.
134.  J. A. Carrillo, J. Hu, L. Wang, J. Wu,  A particle method for the homogeneous Landau equation, J. Comp. Phys. X 7, 100066, 2020.
135.  J. A. Carrillo, S. Jin, L. Li, Y. Zhu,  A consensus-based global optimization method for high dimensional machine learning problems, ESAIM Control Optim. Calc. Var. 27, Paper No. S5, 2021.
136.  J. A. Carrillo, J. Mateu, M.G. Mora, L. Rondi, L. Scardia, J. Verdera,  The equilibrium measure for an anisotropic nonlocal energy, Cal. Var. PDE 60, 109, 2021.
137.  J. A. Carrillo, M. G. Delgadino, G. A. Pavliotis,  A λ-convexity based proof for the propagation of chaos for weakly interacting stochastic particles, J. Functional Analysis 279, 108734, 2020.
138.  M. Burger, J. A. Carrillo, J.-F. Pietschmann, M. Schmidtchen,  Segregation and Gap Formation in Cross-Diffusion Models, Interfaces and Free Boundaries, 22, 175-203, 2020.
139.  J. A. Carrillo, A. Wróblewska-Kamińska, E. Zatorska,  Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system, J. Math. Anal. Appl. 492, 124400, 2020.
140.  V. Calvez, J. A. Carrillo, F. Hoffmann,  Uniqueness of stationary states for singular Keller-Segel type models, Nonlinear Analysis TMA 205, 112222, 2021.
141.  J. A. Carrillo, K. Grunert, H. Holden,  A Lipschitz metric for the Camassa-Holm equation, Forum of Mathematics, Sigma 8, e27, 2020.
142.  J. A. Carrillo, K. Craig, L. Wang, C. Wei, Primal dual methods for Wasserstein gradient flows, Found. Comput. Math. 22, 389–443, 2022. Supplementary Material: Movies and Simulations.
143.  J. A. Carrillo, U. S. Fjordholm, S. Solem,  A second-order numerical method for the aggregation equations, Math. Comp. 90, 103-139, 2021.
144.  J. A. Carrillo, F. Filbet, M. Schmidtchen,  Convergence of a Finite Volume Scheme for a System of Interacting Species with Cross-Diffusion, Numer. Math. 145, 473-511, 2020.