7 citations · 7 across the 5 of their papers we have counts for
6 papers
Well-posedness of an integro-differential model for active Brownian particles
Maria Bruna, Martin Burger, Antonio Esposito +1
We propose a general strategy for solving nonlinear integro-differential evolution problems with periodic boundary conditions, where no direct maximum/minimum principle is availabl…
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…
On Liouville-type theorems for the 2D stationary MHD equations
Nicola De Nitti, Francis Hounkpe, Simon Schulz
We establish new Liouville-type theorems for the two-dimensional stationary magneto-hydrodynamic incompressible system assuming that the velocity and magnetic field have bounded Di…
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…
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…
Liouville type theorem for the stationary equations of magneto-hydrodynamics
Simon Schulz
We show that any smooth solution to the stationary equations of magneto-hydrodynamics (MHD) belonging to both spaces and $BMO^{-1}(\m…