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Mixing solutions for the Muskat problem
Castro, Angel...
Mixing solutions for the Muskat problem by Castro, Angel ( Author )
Australian National University
08-08-2023
We prove the existence of mixing solutions of the incompressible porous media equation for all Muskat type $H^5$ initial data in the fully unstable regime. The proof combines convex integration, contour dynamics and a basic calculus for non smooth semiclassical type pseudodifferential operators which is developed.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1605.04822
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