Degraded mixing solutions for the Muskat problem

DOI10.1007/s00526-019-1489-0zbMath1412.35246arXiv1805.12050OpenAlexW2962870928WikidataQ128271195 ScholiaQ128271195MaRDI QIDQ1731882

Angel Castro, Francisco Mengual, Daniel Faraco

Publication date: 14 March 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.12050

zbMATH Keywords

Muskat problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

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H-principle for the 2-dimensional incompressible porous media equation with viscosity jump, Localized mixing zone for Muskat bubbles and turned interfaces, Rigorous results on conserved and dissipated quantities in ideal MHD turbulence, On Bounded Two-Dimensional Globally Dissipative Euler Flows, Paralinearization of the Muskat equation and application to the Cauchy problem, Global well‐posedness for the one‐phase Muskat problem, Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs, Dissipative Euler Flows for Vortex Sheet Initial Data without Distinguished Sign, Regularity of solutions to the Muskat equation, Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium, Lamination Convex Hull of Stationary Incompressible Porous Media Equations, Mixing solutions for the Muskat problem, A new approach to the Rayleigh-Taylor instability, Semiclassical estimates for pseudodifferential operators and the Muskat problem in the unstable regime, Mixing solutions for the Muskat problem with variable speed, Well-posedness and decay to equilibrium for the Muskat problem with discontinuous permeability, Relaxation of the Boussinesq system and applications to the Rayleigh-Taylor instability, Growth in the Muskat problem

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