48 citations · 205 across the 25 of their papers we have counts for
5 papers · 2 filters
On the generalized Buckley-Leverett equation
Jan Burczak, Rafael Granero-Belinchón, Garving K. Luli
In this paper we study the generalized Buckley-Leverett equation with nonlocal regularizing terms. One of these regularizing terms is diffusive, while the other one is conservative…
Evolutionary, symmetric p-Laplacian. Interior regularity of time derivatives and its consequences
Jan Burczak, Petr Kaplický
We consider the evolutionary symmetric -Laplacian with safety . By symmetric we mean that the full gradient of -Laplacian is replaced by its symmetric part, which causes b…
Interior regularity of space derivatives to an evolutionary, symmetric -Laplacian
Jan Burczak, Petr Kaplický
We consider Orlicz-growth generalization to evolutionary -Laplacian and to the evolutionary symmetric -Laplacian. We derive the spatial second-order Caccioppoli estimate for…
Global solutions for a supercritical drift-diffusion equation
Jan Burczak, Rafael Granero-Belinchón
We study the global existence of solutions to a one-dimensional drift-diffusion equation with logistic term, generalizing the classical parabolic-elliptic Keller-Segel aggregation…
Critical Keller-Segel meets Burgers on : large-time smooth solutions
Jan Burczak, Rafael Granero-Belinchón
We show that solutions to the parabolic-elliptic Keller-Segel system on with critical fractional diffusion remain smooth for any initial data and…