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math.AP2021
Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts
Luca Alasio, Maria Bruna, Simone Fagioli +1
We prove existence and Sobolev regularity of solutions of a nonlinear system of degenerate-parabolic PDEs with self- and cross-diffusion, transport/confinement and nonlocal interac…
math.AP2019
Inviscid limit of the compressible Navier-Stokes equations for asymptotically isothermal gases
Matthew R. I. Schrecker, Simon Schulz
We prove the existence of relative finite-energy vanishing viscosity solutions of the one-dimensional, isentropic Euler equations under the assumption of an asymptotically isotherm…
math.AP2018
Vanishing viscosity limit of the compressible Navier-Stokes equations with general pressure law
Matthew R. I. Schrecker, Simon Schulz
We prove the convergence of the vanishing viscosity limit of the one-dimensional, isentropic, compressible Navier-Stokes equations to the isentropic Euler equations in the case of…