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

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 نشر من قبل Friedrich Lippoth
 تاريخ النشر 2017
  مجال البحث
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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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