Nonlinear stability of the Muskat problem with capillary pressure at the free boundary-Reference-Cited by-同舟云学术

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Nonlinear stability of the Muskat problem with capillary pressure at the free boundary

Published:2003-04 Issue:1 Volume:53 Page:45-80
ISSN:0362-546X
Container-title:Nonlinear Analysis: Theory, Methods & Applications
language:en
Short-container-title:Nonlinear Analysis: Theory, Methods & Applications

Author:

Friedman Avner,Tao Youshan

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference7 articles.

1. Sobolev Spaces;Adams,1975

2. Dynamics of Fluids in Porous Media;Bear,1972

3. Mathematical Models and Finite Elements for Reservoir Simulation;Chavent,1986

4. A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions;Friedman;Interfaces Free Boundaries,2001

5. Nonlinear stability of a quasi-static Stefan problem with surface tension;Friedman;Ann. Scuola Norm. Sup. Pisa Cl. Sci.,2001

Cited by 27 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Boundary Value Problems Related to the Muskat Problem;Advances in Mathematical Fluid Mechanics;2024

2. A new reformulation of the Muskat problem with surface tension;Journal of Differential Equations;2023-03

3. The Muskat problem with surface tension and equal viscosities in subcritical $$L_p$$-Sobolev spaces;Journal of Elliptic and Parabolic Equations;2021-06-29

4. On a two-fluid Hele-Shaw problem with an elliptical interface;Journal of Differential Equations;2021-01

5. Well-Posedness and Stability Results for Some Periodic Muskat Problems;Journal of Mathematical Fluid Mechanics;2020-06-06

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