Regularity of Solutions to the Muskat Equation
Abstract 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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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2023
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| Online Access: | https://hdl.handle.net/1721.1/150495 |
| _version_ | 1811076092660809728 |
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| author | Shi, Jia |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Shi, Jia |
| author_sort | Shi, Jia |
| collection | MIT |
| description | Abstract
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. |
| first_indexed | 2024-09-23T10:16:00Z |
| format | Article |
| id | mit-1721.1/150495 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:16:00Z |
| publishDate | 2023 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1504952024-01-29T21:10:33Z Regularity of Solutions to the Muskat Equation Shi, Jia Massachusetts Institute of Technology. Department of Mathematics Abstract 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. 2023-04-18T11:25:19Z 2023-04-18T11:25:19Z 2023-04-10 2023-04-16T03:26:49Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/150495 Archive for Rational Mechanics and Analysis. 2023 Apr 10;247(3):36 PUBLISHER_CC en https://doi.org/10.1007/s00205-023-01862-z Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | 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 |
| url | https://hdl.handle.net/1721.1/150495 |
| work_keys_str_mv | AT shijia regularityofsolutionstothemuskatequation |