Regularity of Solutions to the Muskat Equation

Author(s)
Shi, Jia
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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.
Date issued
2023-04-10
URI
https://hdl.handle.net/1721.1/150495
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer Berlin Heidelberg
Citation
Archive for Rational Mechanics and Analysis. 2023 Apr 10;247(3):36
Version: Final published version
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