Well-posedness for a moving boundary model of an evaporation front in a porous medium
Lippoth, Friedrich · Prokert, Georg
Original · EN
We consider a two-phase elliptic-parabolic moving boundary problem modelling an evaporation front in a porous medium. Our main result is a proof of short-time existence and uniqueness of strong solutions to the corresponding nonlinear evolution problem in an Lₚ-setting. It relies critically on nonstandard optimal regularity results for a linear elliptic-parabolic system with dynamic boundary condition.
English translation
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