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arXiv · 1702.04530

Well-posedness for a moving boundary model of an evaporation front in a porous medium

Friedrich Lippoth·Georg Prokert
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Abstract

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 $L_{p}$-setting. It relies critically on nonstandard optimal regularity results for a linear elliptic-parabolic system with dynamic boundary condition.

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Friedrich Lippoth, Georg Prokert. 2017-02-15. Well-posedness for a moving boundary model of an evaporation front in a porous medium. https://arxiv.org/abs/1702.04530

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