Small scale formations in the incompressible porous media equation
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Publication:2677764
DOI10.1007/s00205-022-01830-zzbMath1504.35336arXiv2102.05213OpenAlexW4313325021MaRDI QIDQ2677764
Publication date: 6 January 2023
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.05213
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Stratification effects in viscous fluids (76D50)
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Cites Work
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- Exponential growth of the vorticity gradient for the Euler equation on the torus
- Small scale creation for solutions of the incompressible two-dimensional Euler equation
- Lack of uniqueness for weak solutions of the incompressible porous media equation
- Infinite superlinear growth of the gradient for the two-dimensional Euler equation
- Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces
- Global existence of quasi-stratified solutions for the confined IPM equation
- 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 stationary solutions of the inviscid incompressible porous medium equation
- Small-scale creation for solutions of the SQG equation
- Weak solutions to the Muskat problem with surface tension via optimal transport
- Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
- Ulteriori proprieta di alcune classi di funzioni in piu variabili
- On the loss of smoothness of the solutions of the Euler equations and the inherent instability of flows of an ideal fluid
- Vorticity and Incompressible Flow
- On a singular incompressible porous media equation
- Analytical behavior of two-dimensional incompressible flow in porous media
- Relaxation of the incompressible porous media equation
- The measure of the critical values of differentiable maps
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