On well-posedness of the Muskat problem with surface tension

Author:

Nguyen Huy Q.

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

General Mathematics

Reference55 articles.

1. Paralinearization of the Muskat equation and application to the Cauchy problem;Alazard;Arch. Ration. Mech. Anal.,2020

2. Paralinearization of the Dirichlet to Neumann operator, and regularity of diamond waves;Alazard;Commun. Partial Differ. Equ.,2009

3. On the water waves equations with surface tension;Alazard;Duke Math. J.,2011

4. On the Cauchy problem for gravity water waves;Alazard;Invent. Math.,2014

5. Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations;Alazard,2018

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1. Global Regularity for Gravity Unstable Muskat Bubbles;Memoirs of the American Mathematical Society;2023-12

2. Critical local well‐posedness for the fully nonlinear Peskin problem;Communications on Pure and Applied Mathematics;2023-09-08

3. Global well‐posedness for the one‐phase Muskat problem;Communications on Pure and Applied Mathematics;2023-07-11

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

5. Global solutions for the Muskat problem in the scaling invariant Besov space B˙∞,11;Advances in Mathematics;2022-01

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