Large time behavior of a two phase extension of the porous medium equation
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Publication:2327763
DOI10.4171/IFB/421zbMath1423.35225arXiv1803.10476WikidataQ127446684 ScholiaQ127446684MaRDI QIDQ2327763
Clément Cancès, Claire Chainais-Hillairet, Ahmed Ait Hammou Oulhaj, Philippe Laurençot
Publication date: 15 October 2019
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.10476
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45)
Related Items (6)
The porous medium equation as a singular limit of the thin film Muskat problem ⋮ Bounded weak solutions to the thin film Muskat problem via an infinite family of Liapunov functionals ⋮ Bounded weak solutions to a class of degenerate cross-diffusion systems ⋮ Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations ⋮ A Gravity Current Model with Capillary Trapping for Oil Migration in Multilayer Geological Basins ⋮ Convergence of a multi-point flux approximation finite volume scheme for a sharp-diffuse interfaces model for seawater intrusion
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