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Finite-time blowup of the IPM equation from smooth initial data without forcing

Zheng, Fan
arXiv (All) · Papers
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analysis-of-pdes
We prove finite-time gradient blow-up for the unforced incompressible porous media equation on the two-dimensional torus, removing the forcing used in the IPM blow-up constructions of Alpöge, Buckmaster, and Coiculescu \cite{lit:ABC} and Córdoba and Martínez-Zoroa \cite{lit:CMIPM}. The key is an ide
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