On a singular incompressible porous media equation

DOI10.1063/1.4725532zbMath1452.76233arXiv1203.0990OpenAlexW3105738540MaRDI QIDQ2872380

Weiran Sun, Francisco Gancedo, Susan J. Friedlander, Vlad C. Vicol

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0990

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (11)

Inviscid limits for active scalar equations with mildly singular gradients ⋮ Hölder continuous solutions of active scalar equations ⋮ Finite time blowup for Lagrangian modifications of the three-dimensional Euler equation ⋮ On the second iterate for critically diffusive active scalar equations ⋮ Instability of unidirectional flows for the 2D \(\alpha\)-Euler equations ⋮ Nonlinear instability for the Boussinesq equations with diabatic forcing ⋮ Small scale formations in the incompressible porous media equation ⋮ Global existence for some transport equations with nonlocal velocity ⋮ Wellposedness and convergence of solutions to a class of forced non-diffusive equations with applications ⋮ On the asymptotic stability of stationary solutions of the inviscid incompressible porous medium equation ⋮ Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation

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