7 citations · 12 across the 10 of their papers we have counts for
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Degenerate drift-diffusion systems for memristors
Ansgar Jüngel, Martin Vetter
A system of degenerate drift-diffusion equations for the electron, hole, and oxygen vacancy densities, coupled to the Poisson equation for the electric potential, is analyzed in a…
Global martingale solutions to a segregation cross-diffusion system with stochastic forcing
Mrinmay Biswas, Ansgar Jüngel
The existence of a global martingale solution to a cross-diffusion system with multiplicative Wiener noise in a bounded domain with no-flux boundary conditions is shown. The model…
Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems
Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
A Maxwell-Stefan system for fluid mixtures with driving forces depending on Cahn-Hilliard-type chemical potentials is analyzed. The corresponding parabolic cross-diffusion equation…
Large-time asymptotics for a matrix spin drift-diffusion model
Philipp Holzinger, Ansgar Jüngel
The large-time asymptotics of the density matrix solving a drift-diffusion-Poisson model for the spin-polarized electron transport in semiconductors is proved. The equations are an…
Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion
Ansgar Jüngel, Oliver Leingang, Shu Wang
Keller-Segel systems in two and three space dimensions with an additional cross-diffusion term in the equation for the chemical concentration are analyzed. The cross-diffusion term…
Boundedness of weak solutions to cross-diffusion population systems with Laplacian structure
Ansgar Jüngel
The global-in-time existence of bounded weak solutions to general cross-diffusion systems describing the evolution of population species is proved. The equations are considered…