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math.AP2019★ 1 cited
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…
math.AP2019
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…