Uittreksel
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-2 | Engels |
|---|---|
| Artikelnummer | 40 |
| Aantal pagina's | 31 |
| Tijdschrift | Journal of Mathematical Fluid Mechanics |
| Volume | 21 |
| Nummer van het tijdschrift | 3 |
| DOI's | |
| Status | Gepubliceerd - 1 sep 2019 |
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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 tijdschrift › Tijdschriftartikel › Academic › peer review
TY - JOUR
T1 - Well-posedness for a moving boundary model of an evaporation front in a porous medium
AU - Lippoth, Friedrich
AU - Prokert, Georg
PY - 2019/9/1
Y1 - 2019/9/1
N2 - 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.
AB - 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.
KW - Elliptic–parabolic system
KW - Hele-Shaw problem
KW - inhomogeneous symbol
KW - moving boundary
KW - parabolic evolution equation
KW - Stefan problem
UR - http://www.scopus.com/inward/record.url?scp=85068606508&partnerID=8YFLogxK
U2 - 10.1007/s00021-019-0438-1
DO - 10.1007/s00021-019-0438-1
M3 - Article
AN - SCOPUS:85068606508
VL - 21
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
SN - 1422-6928
IS - 3
M1 - 40
ER -