Prof. J.A. Carrillo's group

Publications funded by ERC grant

Preprints

• J. A. Carrillo, D. Gómez-Castro, Interpreting systems of continuity equations in spaces of probability measures through PDE duality, Preprint.
•  J. A. Carrillo, P. Roux, S. Solem, Noise-driven bifurcations in a nonlinear Fokker-Planck system describing stochastic neural fields, Preprint.
• J. A. Carrillo, X. Dou, Z. Zhou, A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit, Preprint.
• J. A. Carrillo, R. Shu, Global Minimizers of a Large Class of Anisotropic Attractive-Repulsive Interaction Energies in 2D, Preprint.
• 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, Preprint.
• A. Leculier, P. Roux, Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system, Preprint.
• J. A. Carrillo, A. Clini, S. Solem, The mean field limit of stochastic differential equation systems modelling grid cells, Preprint.
• R. Bailo, J. A. Carrillo, J. Hu, Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation, Preprint.
• R. Shu, J. Wang, Generalized Erdős-Turán inequalities and stability of energy minimizers, Preprint.
• R. Shu, J. Wang, The Sharp Erdős-Turán Inequality, Preprint.
• F. Alvarez, J. A. Carrillo, Jean Clairambault, Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits , Preprint.
• J. A. Carrillo, Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Dissipative measure-valued solutions to the Euler-Poisson equation, Preprint.
• T. S. Gutleb, J. A. Carrillo, S. Olver, Computation of Power Law Equilibrium Measures on Balls of Arbitrary Dimension, Preprint.
• J. A. Carrillo, R. Shu, From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials, Preprint.
• J. A. Carrillo, D. Gómez-Castro, Y. Yao, C. Zeng, Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel, Preprint.
• R. Bailo, J. A. Carrillo, S. Kalliadasis, S. P. Perez, Unconditional bound-preserving and energy-dissipating finite-volume schemes for the Cahn-Hilliard equation, Preprint.
• J. A. Carrillo, R. S. Gvalani, J. Wu, An invariance principle for gradient flows in the space of probability measures, Preprint.
• J. A. Carrillo, M. G. Delgadino, L. Desvillettes, J. Wu, The Landau equation as a Gradient Flow, Preprint.

Published

1. S. Abo, J. A. Carrillo, A. T. Layton, Can the clocks tick together despite the noise? Stochastic simulations and analysis, to appear in SIAM J. Appl. Dyn. Systems.
2. M. Bruna, M. Burger, A. Esposito, S. Schulz, Phase Separation in Systems of Interacting Active Brownian Particles, to appear in SIAM J. Appl. Math.
3. M. Bruna, M. Burger, A. Esposito, S. Schulz, Well-posedness of an integro-differential model for active Brownian particles, to appear in SIAM J. Math. Anal.
4. J. A. Carrillo, H. Holden, S. Solem, Noise-driven bifurcations in a neural field system modelling networks of grid cells, to appear in J. Math. Biology.
5. F. Magaletti, M. Gallo, S. P. Perez, J. A. Carrillo, S. Kalliadasis, A positivity-preserving scheme for fluctuating hydrodynamics, Journal of Computational Physics 463, 111248, 2022.
6. R. Bailo, T. Rey, Projective and telescopic projective integration for non-linear kinetic mixtures, Journal of Computational Physics 458, 111082, 2022.
7. J. A. Carrillo, S. Jin, Y. Tang, Random batch particle methods for the homogeneous Landau equation, Commun. Comput. Phys. 31, 997-1019, 2022.
8. J. A. Carrillo, D. Kalise, F. Rossi, E. Trélat, Controlling swarms towards flocks and mills, SIAM J. Control and Optimization 60, 1863-1891, 2022.
9. T. S. Gutleb, J. A. Carrillo, S. Olver, Computing Equilibrium Measures with Power Law Kernels, to appear in Mathematics of Computation.
10. J. A. Carrillo, M. Delgadino, J. Wu, Boltzmann to Landau from the Gradient Flow Perspective, Nonlinear Anal. 219, Paper No. 112824, 2022.
11. 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.
12. J.A. Carrillo, M. G. Delgadino, R. L. Frank, M. Lewin, Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solution, to appear in Math. Mod. Meth. Appl. Sci.
13. 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.
14. J.A. Carrillo, L. Chen, Q. Wang, An Optimal Mass Transport Method for Random Genetic Drift, SIAM J. Numer. Anal. 60, 940-969, 2022.
15. 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.
16. J.A. Carrillo, F. Hoffmann, A. M. Stuart, U. Vaes. Consensus Based Sampling, to appear in Studies in Applied Mathematics. Supplementary Material: Movies and Simulations.
17. 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.
18. 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.
19. 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.
20. 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.
21. 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.
22. 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.
23. 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.
24. 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.
25. 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.
26. J. A. Carrillo, Y.-P. Choi,  Mean-field limits: from particle descriptions to macroscopic equations, Arch. Rat. Mech. Anal. 241, 1529-1573. 2021.
27. J. A. Carrillo, S. Kalliadasis, F. Liang, S. P. Perez, Enhancement of damaged-image prediction through Cahn-Hilliard Image Inpainting, R. Soc. Open Sci. 8, 201294, 2021.
28. 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.
29. J. A. Carrillo, L. Wang, W. Xu, M. Yan,  Variational Asymptotic Preserving Scheme for the Vlasov-Poisson-Fokker-Planck System, to appear in Multiscale Model. Simul.
30. 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.
31. 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.
32. 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.
33. 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.
34. N. Kruk, J. A. Carrillo, H. Koeppel,  Traveling Bands, Clouds, and Vortices of Chiral Active Matter, Physical Review E 102, 022604, 2020
35. 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.
36. J. A. Carrillo, R. S. Gvalani,  Phase transitions for nonlinear nonlocal aggregation-diffusion equations, Comm. Math. Phys. 382, 485-545, 2021.
37. 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.
38. J.A. Carrillo, U. Vaes,  Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations, Nonlinearity 34, 2275-2295, 2021.
39. J. A. Carrillo, J. Hu, L. Wang, J. Wu,  A particle method for the homogeneous Landau equation, J. Comp. Phys. X 7, 100066, 2020.
40. 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.
41. 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.
42. 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.
43. 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.
44. J. A. Carrillo, A. Wrólewska-Kamińska, E. Zatorska,  Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system, J. Math. Anal. Appl. 492, 124400, 2020.
45. V. Calvez, J. A. Carrillo, F. Hoffmann,  Uniqueness of stationary states for singular Keller-Segel type models, Nonlinear Analysis TMA 205, 112222, 2021.
46. J. A. Carrillo, K. Grunert, H. Holden,  A Lipschitz metric for the Camassa-Holm equation, Forum of Mathematics, Sigma 8, e27, 2020.
47. J. A. Carrillo, K. Craig, L. Wang, C. Wei, Primal dual methods for Wasserstein gradient flows, Foundations of Computational Mathematics. Supplementary Material: Movies and Simulations.
48. J. A. Carrillo, U. S. Fjordholm, S. Solem,  A second-order numerical method for the aggregation equations, Math. Comp. 90, 103-139, 2021.
49. 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.