Antoine Zurek
Statut : Maître de Conférences
Bureau : GI 116
Travaux récents
Preprints
A nonlocal regularization of a generalized Busenberg-Travis cross-diffusion system, with A. Jüngel and M. Vetter, submitted for publication, 2024.
Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of global weak solutions, with B. Merlet and J. Venel, submitted for publication, 2022, arXiv:2212.03642.
Publications
A. Jüngel, S. Portisch and A. Zurek. A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations. ESAIM : M2AN, vol. 58, no. 2, 759—792, 2024.
M. Herda and A. Zurek. Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system. ESAIM : M2AN, vol. 57, no. 3, 1589—1617, 2023.
C Helmer, A. Jüngel and A. Zurek. Analysis of a finite-volume scheme for a single-species biofilm model. Appl. Numer. Math. 185, 386—405, 2022.
A. Jüngel, S. Portisch and A. Zurek. Nonlocal cross-diffusion systems for multi-species populations and networks. Nonlin. Anal. 219, no. 112800, 26 pages, 2022.
C. Cancès and A. Zurek. A convergent finite volume scheme for dissipation driven models with volume filling constraint. Numer. Math. 151, 279–328, 2022.
A. Jüngel and A. Zurek. A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems. IMA J. Numer. Anal. 43, 560–589, 2023.
M. Breden, C. Chainais-Hillairet and A. Zurek. Existence of traveling waves solutions for the Diffusion Poisson Coupled Model : a computer-assisted proof. ESAIM : M2AN, vol. 55, no. 4, 1669–1697, 2021.
A. Jüngel and A. Zurek. A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system. SIAM J. Numer. Anal., 59(4), 2286–2309, 2021.
E. S. Daus, A. Jüngel and A. Zurek. Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms. IMA J. Numer. Anal., 41(2), 935–973, 2020.
A. Zurek. Numerical approximation of a concrete carbonation model : Study of the √t-law of propagation. Numer Methods Partial Differential Eq., 1–20, 2019.
C. Chainais-Hillairet, B. Merlet and A. Zurek. Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation. ESAIM : M2AN, 52, 457–480, 2018.
Proceedings
A. Jüngel and A. Zurek. A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems. FVCA9 –International Conference on Finite Volumes for Complex Applications IX, Bergen, Norway, 2020.
C. Chainais-Hillairet, B. Merlet and A. Zurek. Design and analysis of a finite volume scheme for a concrete carbonation model. Springer International Publishing, 285-292, 2017.
Memoirs
A. Zurek. Free boundary problems for the degradation of materials and biofilms growth : numerical analysis and modelisation. PhD Thesis, Université de Lille, 2019.