Regularity Properties of Degenerate Diffusion Equations with Drifts

DOI10.1137/17M1159749zbMath1395.35100arXiv1711.11143MaRDI QIDQ4580414

Yuming Paul Zhang, Inwon Christina Kim

Publication date: 15 August 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.11143

zbMATH Keywords

advection-diffusionHölder regularityporous medium-type equationsingularity formulation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Second-order parabolic equations (35K10)

Related Items

Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts, Phase transitions for nonlinear nonlocal aggregation-diffusion equations, A Hele–Shaw Limit with a Variable Upper Bound and Drift, Existence of weak solutions for porous medium equation with a divergence type of drift term in a bounded domain, Existence of weak solutions for porous medium equation with a divergence type of drift term, On a class of diffusion-aggregation equations, Continuity results for degenerate diffusion equations with \(L_t^p L_x^q\) drifts, Porous medium equation with a drift: free boundary regularity, Free boundary regularity of the porous medium equation with nonlocal drifts in dimension one, Equilibration of Aggregation-Diffusion Equations with Weak Interaction Forces

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