56 citations · 359 across the 75 of their papers we have counts for
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Global existence and weak-strong uniqueness for chemotaxis compressible Navier-Stokes equations modeling vascular network formation
Xiaokai Huo, Ansgar Jüngel
A model of vascular network formation is analyzed in a bounded domain, consisting of the compressible Navier-Stokes equations for the density of the endothelial cells and their vel…
Large-time asymptotics for degenerate cross-diffusion population models with volume filling
Xiuqing Chen, Ansgar Jüngel, Xi Lin +1
The large-time asymptotics of the solutions to a class of degenerate parabolic cross-diffusion systems is analyzed. The equations model the interaction of an arbitrary number of po…
Analysis of a Poisson-Nernst-Planck-Fermi system for charge transport in ion channels
Ansgar Jüngel, Annamaria Massimini
A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a pola…
Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites
Markus Fellner, Ansgar Jüngel
A one-dimensional cross-diffusion system modeling the transport of vesicles in neurites is analyzed. The equations are coupled via nonlinear Robin boundary conditions to ordinary d…
Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system
Jingwei Hu, Ansgar Jüngel, Nicola Zamponi
The global-in-time existence of weak solutions to a spatially homogeneous multispecies Fokker-Planck-Landau system for plasmas in the three-dimensional whole space is shown. The Fo…
Global existence of weak solutions and weak-strong uniqueness for nonisothermal Maxwell-Stefan systems
Stefanos Georgiadis, Ansgar Jüngel
The dynamics of multicomponent gas mixtures with vanishing barycentric velocity is described by Maxwell-Stefan equations with mass diffusion and heat conduction. The equations cons…
Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth
Christoph Helmer, Ansgar Jüngel
The global existence of bounded weak solutions to a diffusion system modeling biofilm growth is proven. The equations consist of a reaction-diffusion equation for the substrate con…