146 citations · 161 across the 30 of their papers we have counts for
35 papers
Large-time asymptotics for general cross-diffusion systems and novel convex Sobolev inequalities
Noah Geltner, Ansgar Jüngel
The exponential decay of weak solutions towards the constant steady state of general cross-diffusion systems in bounded domains with no-flux boundary conditions is investigated. Th…
Analysis of a multispecies cross-diffusion Keller-Segel system with volume filling
Noah Geltner, Ansgar Jüngel, Mingyue Zhang
A chemotaxis-driven multiphase multispecies diffusion system, arising in the formation of vascular-like structures, is analyzed. The model couples porous-medium-type cross-diffusio…
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…