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Regularity of Solutions to the Muskat Equation

In 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.

Detalles Bibliográficos
Autor principal: Shi, Jia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10085968/
https://www.ncbi.nlm.nih.gov/pubmed/37064757
http://dx.doi.org/10.1007/s00205-023-01862-z