A Paradifferential Approach for Well-Posedness of the Muskat Problem
- 21 February 2020
- journal article
- research article
- Published by Springer Nature in Archive for Rational Mechanics and Analysis
- Vol. 237 (1) , 35-100
Abstract
No abstract availableKeywords
All Related Versions
Funding Information
- National Science Foundation (DMS-1907776, DMS-1700282)
This publication has 54 references indexed in Scilit:
- Rayleigh-Taylor breakdown for the Muskat problem with applications to water wavesAnnals of Mathematics, 2012
- On the water-wave equations with surface tensionDuke Mathematical Journal, 2011
- On the Parabolicity of the Muskat Problem: Well-Posedness, Fingering, and Stability ResultsZeitschrift für Analysis und ihre Anwendungen, 2011
- Interface evolution: the Hele-Shaw and Muskat problemsAnnals of Mathematics, 2011
- Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water WavesCommunications in Partial Differential Equations, 2009
- Global existence, singular solutions, and ill‐posedness for the Muskat problemCommunications on Pure and Applied Mathematics, 2004
- Well-posedness of two-phase Hele–Shaw flow without surface tensionEuropean Journal of Applied Mathematics, 2004
- Global solutions for small data to the Hele-Shaw problemNonlinearity, 1993
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquidProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1958
- The Flow of WaterNature, 1898