A nonlocal regularization of a generalized Busenberg-Travis cross-diffusion system

A Jüngel, M Vetter, A Zurek - arXiv preprint arXiv:2407.01123, 2024 - arxiv.org
A cross-diffusion system with Lotka-Volterra reaction terms in a bounded domain with no-flux
boundary conditions is analyzed. The system is a nonlocal regularization of a generalized …

A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations

A Jüngel, S Portisch, A Zurek - ESAIM: Mathematical Modelling …, 2024 - esaim-m2an.org
An implicit Euler finite-volume scheme for a nonlocal cross-diffusion system on the one-
dimensional torus, arising in population dynamics, is proposed and analyzed. The kernels …

Stationary solutions and large time asymptotics to a cross-diffusion-Cahn–Hilliard system

J Cauvin-Vila, V Ehrlacher, G Marino, JF Pietschmann - Nonlinear Analysis, 2024 - Elsevier
We study some properties of a multi-species degenerate Ginzburg–Landau energy and its
relation to a cross-diffusion Cahn–Hilliard system. The model is motivated by …

Analysis of nonlocal cross-diffusion and nonlinear drift-diffusion systems using entropy methods

S Portisch - 2024 - repositum.tuwien.at
Systems including cross-diffusion, ie the process where the flux of one component or
speciesis induced by the gradient of another component or species, have received …

Cross-diffusion systems in moving-boundary domains

J Cauvin-Vila - 2023 - pastel.hal.science
This thesis deals with the analysis, stabilization, and numerical approximation of systemsof
PDEs with cross-diffusion in domains with moving boundaries. It is motivated by …

Développement et analyse de schémas d'ordre élevé pour des modèles de convection-diffusion: étude du comportement en temps long

J Moatti - 2023 - theses.hal.science
Dans cette thèse, nous nous intéressons à l'approximation numérique de problèmes de
convection-diffusion, potentiellement anisotropes, par des schémas d'ordre élevé sur …