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

Friedrich Lippoth (Corresponding author), Georg Prokert

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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 Lp-setting. It relies critically on nonstandard optimal regularity results for a linear elliptic–parabolic system with dynamic boundary condition.

Originele taal-2Engels
Artikelnummer40
Aantal pagina's31
TijdschriftJournal of Mathematical Fluid Mechanics
Volume21
Nummer van het tijdschrift3
DOI's
StatusGepubliceerd - 1 sep 2019

Vingerafdruk

Moving Boundary
uniqueness
linear systems
Evaporation
regularity
Well-posedness
Porous Media
Linear systems
Porous materials
evaporation
Boundary conditions
boundary conditions
Dynamic Boundary Conditions
Moving Boundary Problem
Evolution Problems
Strong Solution
Nonlinear Problem
Existence and Uniqueness
Regularity
Linear Systems

Citeer dit

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Well-posedness for a moving boundary model of an evaporation front in a porous medium. / Lippoth, Friedrich (Corresponding author); Prokert, Georg.

In: Journal of Mathematical Fluid Mechanics, Vol. 21, Nr. 3, 40, 01.09.2019.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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