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math.AP2025
Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations
Charles Collot, Christophe Prange, Jin Tan
We consider a special class of infinite energy solutions to the inviscid incompressible porous medium equations (IPM), introduced in Castro-Córdoba-Gancedo-Orive [9]. The (IPM) equ…
math.AP2023
Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains
Christophe Prange, Jin Tan
In the well-known book of Lions [{\em Mathematical topics in fluid mechanics. Incompressible models}, 1996], global existence results of finite energy weak solutions of the inhomog…