Abstract
AbstractIn this paper, we show that if a solution to the Muskat problem in the case of different densities and the same viscosity is sufficiently smooth, then it must be analytic except at the points where a turnover of the fluids happens.
Funder
National Science Foundation
European Research Council
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Reference39 articles.
1. Abels, H., Matioc, B.-V.: Well-posedness of the muskat problem in subcritical lp-sobolev spaces. Eur. J. Appl. Math. 33(2), 224–266, 2022
2. Alazard, T., Lazar, O.: Paralinearization of the Muskat equation and application to the Cauchy problem. Arch. Ration. Mech. Anal. 237(2), 545–583, 2020
3. Alazard, T., Nguyen, Q.-H.: Endpoint sobolev theory for the muskat equation. arXiv: Analysis of PDEs, 2020
4. Alazard, T., Nguyen, Q.-H.: On the cauchy problem for the muskat equation with non-lipschitz initial data. Commun. Partial Differ. Equ. 46(11), 2171–2212, 2021
5. Alazard, T., Quoc, H.: On the cauchy problem for the muskat equation. ii: Critical initial data. Ann. PDE 7, 06, 2021
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