56 citations · 359 across the 75 of their papers we have counts for
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Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis
Ansgar Jüngel, Boyi Wang
A fully discrete semi-convex-splitting finite-element scheme with stabilization for a Cahn-Hilliard cross-diffusion system is analyzed. The system consists of parabolic fourth-orde…
Hypocoercivity for Linear ODEs and Strong Stability for Runge--Kutta Methods
Franz Achleitner, Anton Arnold, Ansgar Jüngel
In this note, we connect two different topics from linear algebra and numerical analysis: hypocoercivity of semi-dissipative matrices and strong stability for explicit Runge--Kutta…
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…
Convergence of a finite volume scheme and dissipative measure-valued-strong stability for a hyperbolic-parabolic cross-diffusion system
Katharina Hopf, Ansgar Jüngel
This article is concerned with the development of a theoretical framework of global measure-valued solutions for a class of hyperbolic-parabolic cross-diffusion systems, and its ap…
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…
A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations
Ansgar Jüngel, Stefan Portisch, Antoine Zurek
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 are…
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…
A convergent entropy-dissipating BDF2 finite-volume scheme for a population cross-diffusion system
Ansgar Jüngel, Martin Vetter
A second-order backward differentiation formula (BDF2) finite-volume discretization for a nonlinear cross-diffusion system arising in population dynamics is studied. The numerical…