Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1-35 |
| Seitenumfang | 35 |
| Fachzeitschrift | Journal of Mathematical Fluid Mechanics |
| Jahrgang | 8 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - Feb. 2006 |
Abstract
We prove a general regularity result for fully nonlinear, possibly nonlocal parabolic Cauchy problems under the assumption of maximal regularity for the linearized problem. We apply this result to show joint spatial and temporal analyticity of the moving boundary in the problem of Stokes flow driven by surface tension.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Mathematische Physik
- Physik und Astronomie (insg.)
- Physik der kondensierten Materie
- Mathematik (insg.)
- Computational Mathematics
- Mathematik (insg.)
- Angewandte Mathematik
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in: Journal of Mathematical Fluid Mechanics, Jahrgang 8, Nr. 1, 02.2006, S. 1-35.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Analyticity of solutions to nonlinear parabolic equations on manifolds and an application to stokes flow
AU - Escher, Joachim
AU - Prokert, Georg
PY - 2006/2
Y1 - 2006/2
N2 - We prove a general regularity result for fully nonlinear, possibly nonlocal parabolic Cauchy problems under the assumption of maximal regularity for the linearized problem. We apply this result to show joint spatial and temporal analyticity of the moving boundary in the problem of Stokes flow driven by surface tension.
AB - We prove a general regularity result for fully nonlinear, possibly nonlocal parabolic Cauchy problems under the assumption of maximal regularity for the linearized problem. We apply this result to show joint spatial and temporal analyticity of the moving boundary in the problem of Stokes flow driven by surface tension.
KW - Maximal regularity
KW - Nonlinear parabolic equation
KW - Stokes flow
KW - Surface tension
UR - http://www.scopus.com/inward/record.url?scp=33645123673&partnerID=8YFLogxK
U2 - 10.1007/s00021-005-0175-5
DO - 10.1007/s00021-005-0175-5
M3 - Article
AN - SCOPUS:33645123673
VL - 8
SP - 1
EP - 35
JO - Journal of Mathematical Fluid Mechanics
JF - Journal of Mathematical Fluid Mechanics
SN - 1422-6928
IS - 1
ER -