On the asymptotic stability of stationary solutions of the inviscid incompressible porous medium equation
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Publication:2014374
DOI10.1007/s00205-017-1090-7zbMath1368.35218OpenAlexW2605040368MaRDI QIDQ2014374
Publication date: 11 August 2017
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-017-1090-7
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Stratification effects in inviscid fluids (76B70)
Related Items (17)
Asymptotic stability of the 2D MHD equations without magnetic diffusion ⋮ Asymptotic stability of the 2D Boussinesq equations without thermal conduction ⋮ Asymptotic stability and sharp decay rates to the linearly stratified Boussinesq equations in horizontally periodic strip domain ⋮ Small scale formations in the incompressible porous media equation ⋮ On global stability of optimal rearrangement maps ⋮ Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation ⋮ Global well-posedness and long-time dynamics for a higher order quasi-geostrophic type equation ⋮ Global existence of quasi-stratified solutions for the confined IPM equation ⋮ Lamination Convex Hull of Stationary Incompressible Porous Media Equations ⋮ Remarks on a paper by Gavrilov: Grad-Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications ⋮ On the asymptotic stability of stratified solutions for the 2D Boussinesq equations with a velocity damping term ⋮ Asymptotic behavior of 2D stably stratified fluids with a damping term in the velocity equation ⋮ Global well-posedness and optimal decay estimate for the incompressible porous medium equation near a nontrivial equilibrium ⋮ Elsässer formulation of the ideal MHD and improved lifespan in two space dimensions ⋮ On Moffatt's magnetic relaxation equations ⋮ On asymptotic stability of the 3D Boussinesq equations with a velocity damping term ⋮ On Singular Vortex Patches, I: Well-posedness Issues
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