56 citations · 195 across the 18 of their papers we have counts for
19 papers
Random-batch method for multi-species stochastic interacting particle systems
Esther S. Daus, Markus Fellner, Ansgar Jüngel
A random-batch method for multi-species interacting particle systems is proposed, extending the method of S. Jin, L. Li, and J.-G. Liu [J. Comput. Phys. 400 (2020), 108877]. The id…
Nonisothermal Richards flow in porous media with cross diffusion
Esther S. Daus, Josipa Pina Milišić, Nicola Zamponi
The existence of large-data weak entropy solutions to a nonisothermal immiscible compressible two-phase unsaturated flow model in porous media is proved. The model is thermodynamic…
Non-Local Porous Media Equations with Fractional Time Derivative
Esther S. Daus, Maria Pia Gualdani, Jingjing Xu +2
In this paper we investigate existence of solutions for the system: \begin{equation*} \left\{ \begin{array}{l} D^α_tu=\textrm{div}(u \nabla p),\\ D^α_tp=-(-Δ)^{s}p+u^{2}, \end{arra…
Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems
Li Chen, Esther S. Daus, Alexandra Holzinger +1
Population cross-diffusion systems of Shigesada-Kawasaki-Teramoto type are derived in a mean-field-type limit from stochastic, moderately interacting many-particle systems for mult…
Derivation of a Fractional Cross-Diffusion System as the Limit of a Stochastic Many-Particle System Driven by Lévy Noise
Esther S. Daus, Mariya Ptashnyk, Claudia Raithel
In this article a fractional cross-diffusion system is derived as the rigorous many-particle limit of a multi-species system of moderately interacting particles that is driven by L…
Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms
Esther S. Daus, Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for a cross-diffusion system modeling biofilm growth is analyzed by exploiting its formal gradient-flow structure. The numerical scheme is ba…
On the multi-species Boltzmann equation with uncertainty and its stochastic Galerkin approximation
Esther S. Daus, Shi Jin, Liu Liu
In this paper the nonlinear multi-species Boltzmann equation with random uncertainty coming from the initial data and collision kernel is studied. Well-posedness and long-time beha…
Global existence for a two-phase flow model with cross diffusion
Esther S. Daus, Josipa-Pina Milišić, Nicola Zamponi
In this work we study a degenerate pseudo-parabolic system with cross diffusion describing the evolution of the densities of an unsaturated two-phase flow mixture with dynamic capi…
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…
Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type
Esther S. Daus, Ansgar Jüngel, Bao Quoc Tang
The large-time asymptotics of weak solutions to Maxwell--Stefan diffusion systems for chemically reacting fluids with different molar masses and reversible reactions are investigat…
Cross-diffusion systems and fast-reaction limits
E. S. Daus, L. Desvillettes, A. Jüngel
The rigorous asymptotics from reaction-cross-diffusion systems for three species with known entropy to cross-diffusion systems for two variables is investigated. The equations are…
Global existence analysis of cross-diffusion population systems for multiple species
Xiuqing Chen, Esther S. Daus, Ansgar Jüngel
The existence of global-in-time weak solutions to reaction-cross-diffusion systems for an arbitrary number of competing population species is proved. The equations can be derived f…
The Boltzmann equation for a multi-species mixture close to global equilibrium
Marc Briant, Esther Daus
We study the Cauchy theory for a multi-species mixture, where the different species can have different masses, in a perturbative setting on the -dimensional torus. The ultimate…
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…