Antoine Zurek
Statut : Maître de Conférences
Bureau : GI 116
Travaux récents
Preprints
Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of weak solutions, with B. Merlet and J. Venel, submitted for publication, 2025, hal-03888607v2.
A nonlocal regularization of a generalized Busenberg-Travis cross-diffusion system, with A. Jüngel and M. Vetter, submitted for publication, 2024, hal-04630443v1.
Publications
M. Herda, A. Trescases and A. Zurek. A finite volume scheme for the local sensing chemotaxis model. To appear in SMAI Journal of Computational Mathematics, 2025.
D. Al Zareef, A. El Hajj, H. Ibrahim and A. Zurek. Convergence of a semi-explicit scheme for a one dimensional periodic nonlocal eikonal equation modeling dislocation dynamics. ESAIM : M2AN, vol. 59, no. 6, 2957-2990, 2025.
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.