47 citations · 265 across the 22 of their papers we have counts for
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math.AP2015★ 2 cited
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…
math.AP2015★ 33 cited
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…
math.AP2015★ 27 cited
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…