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

Friedrich Lippoth; Georg Prokert

doi:10.1007/s00021-019-0438-1

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

Friedrich Lippoth (Corresponding author), Georg Prokert

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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Samenvatting

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.

Originele taal-2	Engels
Artikelnummer	40
Aantal pagina's	31
Tijdschrift	Journal of Mathematical Fluid Mechanics
Volume	21
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.1007/s00021-019-0438-1
Status	Gepubliceerd - 1 sep 2019

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10.1007/s00021-019-0438-1

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KW - Hele-Shaw problem

KW - inhomogeneous symbol

KW - moving boundary

KW - parabolic evolution equation

KW - Stefan problem

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