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Necessity of the approximately linear congestion constraint for the Hele-Shaw limit
Let $m(x,t)$ be a congestion function in the porous medium equation and its pressure formulation, and consider the Hele-Shaw limit obtained through a JKO approximation scheme. The…
Conjectureopengradient-flows hele-shaw-limit porous-medium-equationarXiv posted 2 days ago

Necessity of the approximately linear congestion constraint for the Hele-Shaw limit