64 citations · 308 across the 37 of their papers we have counts for
4 papers · 1 filter
A well-posedness result for a system of cross-diffusion equations
Christian Seis, Dominik Winkler
This work's major intention is the investigation of the well-posedness of certain cross-diffusion equations in the class of bounded functions. More precisely, we show existence, un…
On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity
Helena J. Nussenzveig Lopes, Christian Seis, Emil Wiedemann
We show strong convergence of the vorticities in the vanishing viscosity limit for the incompressible Navier-Stokes equations on the two-dimensional torus, assuming only that the i…
The Scharfetter--Gummel scheme for aggregation-diffusion equations
André Schlichting, Christian Seis
In this paper, we propose a finite-volume scheme for aggregation-diffusion equations based on a Scharfetter--Gummel approximation of the quadratic, nonlocal flux term. This scheme…
Bounds on the rate of enhanced dissipation
Christian Seis
We are concerned with flow enhanced mixing of passive scalars in the presence of diffusion. Under the assumption that the velocity gradient is suitably integrable, we provide upper…