Regularity of Solutions to the Muskat Equation
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205_2023_Article_1862.pdf
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573.53 KB
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Adobe PDF
Checksum (MD5)
a2a2066e7f45e8c77b72c8e1b197de5e
Author(s)
Shi, Jia
Date Issued
April 10, 2023
Publisher
Springer Berlin Heidelberg
Citation
Archive for Rational Mechanics and Analysis. 2023 Apr 10;247(3):36
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00205-023-01862-z
