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:
Article
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
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author Shi, Jia
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description 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.
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spelling pubmed-100859682023-04-12 Regularity of Solutions to the Muskat Equation Shi, Jia Arch Ration Mech Anal Article 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. Springer Berlin Heidelberg 2023-04-10 2023 /pmc/articles/PMC10085968/ /pubmed/37064757 http://dx.doi.org/10.1007/s00205-023-01862-z Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Shi, Jia
Regularity of Solutions to the Muskat Equation
title Regularity of Solutions to the Muskat Equation
title_full Regularity of Solutions to the Muskat Equation
title_fullStr Regularity of Solutions to the Muskat Equation
title_full_unstemmed Regularity of Solutions to the Muskat Equation
title_short Regularity of Solutions to the Muskat Equation
title_sort regularity of solutions to the muskat equation
topic Article
url 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
work_keys_str_mv AT shijia regularityofsolutionstothemuskatequation

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