From the 1 of 13 linked papers with an AI index.
13 papers
Analysis of a multispecies cross-diffusion Keller-Segel system with volume filling
Noah Geltner, Ansgar Jüngel, Mingyue Zhang
The paper analyzes a chemotaxis-driven multispecies cross‑diffusion Keller‑Segel system with volume‑filling constraints, establishing global weak existence, weak‑strong uniqueness,…
Non-uniqueness of weak solutions to cross-diffusion systems with advection
José A. Carrillo, Ansgar Jüngel, Jakub Skrzeczkowski +1
A cross-diffusion system with advection is considered on the whole line, describing the dynamics of two segregating population species. Starting from two initial densities supporte…
A nonlocal Busenberg-Travis cross-diffusion system with nonlinear Brinkman law
Peter Hirvonen, Ansgar Jüngel
A nonlocal Busenberg-Travis cross-diffusion system for segregating populations is analyzed in a bounded domain with no-flux boundary conditions. The velocities of the species solve…
Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
Noah Geltner, Ansgar Jüngel, Mingyue Zhang
A class of parabolic-parabolic Keller-Segel systems with degenerate diffusion and volume filling is studied in a bounded domain subject to no-flux boundary conditions. The equation…
Chemotaxis compressible Navier-Stokes equations with density-dependent viscosity modeling vascular network formation
Ansgar Jüngel, Flora Philipp
The existence of global weak solutions to the compressible Navier-Stokes equations for the density of endothelial cells and their velocity, coupled to a reaction-diffusion equation…
Multiphase cross-diffusion models for tissue structures: modeling, analysis, numerics
Ansgar Jüngel, Cordula Reisch, Sara Xhahysa
Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures a…