Published papers

  1. P. Gwiazda, J. Skrzeczkowski, L. Trussardi
    On the rate of convergence of Yosida approximation for the nonlocal Cahn-Hilliard equation
    Accepted in IMA Journal of Numerical Analysis, preprint on arXiv:2306.12772.
  2. C. Elbar, B. Perthame, J. Skrzeczkowski
    Pressure jump and radial stationary solutions of the degenerate Cahn-Hilliard equation
    Published online in Comptes Rendus Mécanique.
  3. C. Dull, P. Gwiazda, A. Marciniak-Czochra, J. Skrzeczkowski
    Structured Population Models on Polish Spaces: A unified approach including Graphs, Riemannian Manifolds and Measure Spaces to Describe Dynamics of Heterogeneous Populations
    Mathematical Models and Methods in Applied Sciences, 34 (1), 109-143, 2024.
  4. C. Elbar, M. Mason, B. Perthame, J. Skrzeczkowski
    From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation
    Communications in Mathematical Physics, 401, 1033–1057, 2023.
  5. B. Perthame, J. Skrzeczkowski
    Fast reaction limit with nonmonotone reaction function
    Communications on Pure and Applied Mathematics, 76 (7), 2023.
  6. C. Dull, P. Gwiazda, A. Marciniak-Czochra, J. Skrzeczkowski
    Measure Differential Equation with a Nonlinear Growth/Decay Term
    Nonlinear Analysis: Real World Applications, 73, 2023 (art. 103917).
  7. C. Elbar, J. Skrzeczkowski
    Degenerate Cahn-Hilliard equation: From nonlocal to local
    Journal of Differential Equations, 364, 576-611, 2023.
  8. M. Bulicek, P. Gwiazda, J. Skrzeczkowski, J. Woźnicki
    Non-Newtonian fluids with discontinuous-in-time stress tensor
    Journal of Functional Analysis, 285 (2), 2023 (art. 109943).
  9. P. Gwiazda, B. Miasojedow, J. Skrzeczkowski, Z. Szymańska
    Convergence of EBT method for a non-local model of cell proliferation with discontinuous interaction kernel
    IMA Journal of Numerical Analysis, 43 (1), 590-626, 2023.
  10. M. Bulicek, P. Gwiazda, J. Skrzeczkowski
    On a range of exponents for absence of Lavrentiev phenomenon for double phase functionals
    Archive for Rational Mechanics and Analysis 246, 209–240, 2022
  11. J. Skrzeczkowski
    Fast reaction limit and forward-backward diffusion: a Radon-Nikodym approach
    Comptes Rendus Mathématique, tome 360, p. 189-203, 2022.
  12. Z. Szymańska, J. Skrzeczkowski, B. Miasojedow, P. Gwiazda
    Bayesian inference of a non-local proliferation model
    Royal Society Open Science, 8: 211279, 2021.
  13. C. Dull, P. Gwiazda, A. Marciniak-Czochra, J. Skrzeczkowski
    Spaces of Measures and their Applications to Structured Population Models
    Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press, 2021.
  14. M. Bulicek, P. Gwiazda, J. Skrzeczkowski
    Parabolic equations in Musielak -- Orlicz spaces with discontinuous in time N-function
    Journal of Differential Equations, 290, 17-56, 2021.
  15. A.S. Ackleh, N. Saintier, J. Skrzeczkowski
    Sensitivity equations for measure-valued solutions to transport equation
    Mathematical Biosciences and Engineering, 17(1), 514-537, 2020.
  16. J. Skrzeczkowski
    Measure solutions to perturbed structured population models - differentiability with respect to perturbation parameter
    Journal of Differential Equations, 268 (8), 4119-4182, 2020.
  17. M. Merski, J. Skrzeczkowski, J.K. Roth, M.W. Górna
    A Geometric Definition of Short to Medium Range Hydrogen-Mediated Interactions in Proteins
    Molecules 25 (22), 5326, 2020.
  18. M. Merski, K. Młynarczyk, J. Ludwiczak, J. Skrzeczkowski, S. Dunin-Horkawicz, M.W. Górna
    Self-Analysis of Repeat Proteins Reveals Evolutionarily Conserved Patterns
    BMC Bioinformatics 21, 179, 2020.

Preprints

  1. J.A. Carrillo, J. Skrzeczkowski
    Convergence and stability results for the particle system in the Stein gradient descent method
    arXiv:2312.16344.
  2. C. Elbar, B. Perthame, J. Skrzeczkowski
    On the limit problem arising in the kinetic derivation of the Cahn-Hilliard equation
    arXiv:2306.06486.
  3. C. Elbar, J. Skrzeczkowski
    On the inviscid limit connecting Brinkman's and Darcy's models of tissue growth with nonlinear pressure
    arXiv:2306.03752.
  4. C. Elbar, B. Perthame, A. Poiatti, J. Skrzeczkowski
    Nonlocal Cahn-Hilliard equation with degenerate mobility: Incompressible limit and convergence to stationary states
    arXiv:2305.06239.
  5. C. Elbar, P.Gwiazda, J. Skrzeczkowski, A. Świerczewska-Gwiazda
    From nonlocal Euler-Korteweg to local Cahn-Hilliard via the high-friction limit
    arXiv:2305.01348.
  6. J.A. Carrillo, C. Elbar, J. Skrzeczkowski
    Degenerate Cahn-Hilliard systems: From nonlocal to local
    arXiv:2303.11929.