Lamination Convex Hull of Stationary Incompressible Porous Media Equations

DOI10.1137/20M134633XzbMath1458.35333OpenAlexW3125097469WikidataQ112035591 ScholiaQ112035591MaRDI QIDQ5147557

Lauri Hitruhin, Sauli Lindberg

Publication date: 27 January 2021

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

Full work available at URL: https://doi.org/10.1137/20m134633x

zbMATH Keywords

relaxationlamination convex hullincompressible porous media equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

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 ⋮ Steady-state solutions for the Muskat problem ⋮ Relaxation of the Boussinesq system and applications to the Rayleigh-Taylor instability

Cites Work

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• Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
• Convex integration for a class of active scalar equations
• Relaxation of the incompressible porous media equation
• The ℎ-principle and the equations of fluid dynamics

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