4 citations · 4 across the 3 of their papers we have counts for
7 papers · 1 filter
Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation
Esther S. Daus, Maria Gualdani, Nicola Zamponi
In this manuscript we consider a non-local porous medium equation with non-local diffusion effects given by a fractional heat operator \begin{equation*} \partial_t u = \mbox{div}(u…
Rigorous mean-field limit and cross diffusion
Li Chen, Esther S. Daus, Ansgar Jüngel
The mean-field limit in a weakly interacting stochastic many-particle system for multiple population species in the whole space is proved. The limiting system consists of cross-dif…
Spectral Convergence of the Stochastic Galerkin Approximation to the Boltzmann Equation with Multiple Scales and Large Random Perturbation in the Collision Kernel
Esther S. Daus, Shi Jin, Liu Liu
In [L. Liu and S. Jin, Multiscale Model. Simult., 16, 1085-1114, 2018], spectral convergence and long-time decay of the numerical solution towards the global equilibrium of the sto…
Trend to equilibrium of renormalized solutions to reaction-cross-diffusion systems
Esther S. Daus, Bao Quoc Tang
The convergence to equilibrium of renormalized solutions to reaction-cross-diffusion systems in a bounded domain under no-flux boundary conditions is studied. The reactions model c…
Analysis of a degenerate and singular volume-filling cross-diffusion system modeling biofilm growth
Esther S. Daus, Josipa-Pina Milišić, Nicola Zamponi
We analyze the mathematical properties of a multi-species biofilm cross-diffusion model together with very general reaction terms and mixed Dirichlet-Neumann boundary conditions on…
About the entropic structure of detailed balanced multi-species cross-diffusion equations
Esther S. Daus, Laurent Desvillettes, Helge Dietert
This paper links at the formal level the entropy structure of a multi-species cross-diffusion system of Shigesada-Kawasaki-Teramoto (SKT) type satisfying the detailed balance condi…