16 citations · 36 across the 13 of their papers we have counts for
Showing 2019 · math.APShow all
2 papers · 2 filters
math.AP2019★ 2 cited
Degenerate nonlinear parabolic equations with discontinuous diffusion coefficients
Dohyun Kwon, Alpár Richárd Mészáros
This paper is devoted to the study of some nonlinear parabolic equations with discontinuous diffusion intensities. Such problems appear naturally in physical and biological models.…
math.AP2019★ 16 cited
Weak solutions to the Muskat problem with surface tension via optimal transport
Matt Jacobs, Inwon Kim, Alpár R. Mészáros
Inspired by recent works on the threshold dynamics scheme for multi-phase mean curvature flow (by Esedoglu-Otto and Laux-Otto), we introduce a novel framework to approximate soluti…