56 citations · 359 across the 75 of their papers we have counts for
8 papers · 1 filter
Qualitative behavior of solutions to cross-diffusion systems from population dynamics
Ansgar Jüngel, Nicola Zamponi
A general class of cross-diffusion systems for two population species in a bounded domain with no-flux boundary conditions and Lotka-Volterra-type source terms is analyzed. Althoug…
Discrete Bochner inequalities via the Bochner-Bakry-Emery approach for Markov chains
Ansgar Jüngel, Wen Yue
Discrete convex Sobolev inequalities and Beckner inequalities are derived for time-continuous Markov chains on finite state spaces. Beckner inequalities interpolate between the mod…
A higher-order gradient flow scheme for a singular one-dimensional diffusion equation
Bertram Düring, Philipp Fuchs, Ansgar Jüngel
A nonlinear diffusion equation, interpreted as a Wasserstein gradient flow, is numerically solved in one space dimension using a higher-order minimizing movement scheme based on th…
Analysis of a coupled spin drift-diffusion Maxwell-Landau-Lifshitz system
Nicola Zamponi, Ansgar Jüngel
The existence of global weak solutions to a coupled spin drift-diffusion and Maxwell-Landau-Lifshitz system is proved. The equations are considered in a two-dimensional magnetic la…
Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations
Ansgar Jüngel, Stefan Schuchnigg
Semi-discrete Runge-Kutta schemes for nonlinear diffusion equations of parabolic type are analyzed. Conditions are determined under which the schemes dissipate the discrete entropy…
A meeting point of entropy and bifurcations in cross-diffusion herding
Ansgar Jüngel, Christian Kuehn, Lara Trussardi
A cross-diffusion system modeling the information herding of individuals is analyzed in a bounded domain with no-flux boundary conditions. The variables are the species' density an…
Hypocoercivity for a linearized multi-species Boltzmann system
Esther Sarah Daus, Ansgar Jüngel, Clément Mouhot +1
A new coercivity estimate on the spectral gap of the linearized Boltzmann collision operator for multiple species is proved. The assumptions on the collision kernels include hard a…
A Finite-Volume Scheme for a Spinorial Matrix Drift-Diffusion Model for Semiconductors
Claire Chainais-Hillairet, Ansgar Jüngel, Polina Shpartko
An implicit Euler finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors is analyzed. The model consists of strongly coupled parabolic equations for t…