64 citations · 308 across the 37 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.AP2017★ 20 cited
The thin film equation close to self-similarity
Christian Seis
In the present work, we study well-posedness and regularity of the multidimensional thin film equation with linear mobility in a neighborhood of the self-similar Smyth--Hill soluti…
math.AP2017
Eulerian and Lagrangian solutions to the continuity and Euler equations with vorticity
Gianluca Crippa, Camilla Nobili, Christian Seis +1
In the first part of this paper we establish a uniqueness result for continuity equations with velocity field whose derivative can be represented by a singular integral operator of…
math.AP2017★ 12 cited
Analysis of the implicit upwind finite volume scheme with rough coefficients
André Schlichting, Christian Seis
We study the implicit upwind finite volume scheme for numerically approximating the linear continuity equation in the low regularity DiPerna-Lions setting. That is, we are concerne…