Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-35 |
| Number of pages | 35 |
| Journal | Journal of Mathematical Fluid Mechanics |
| Volume | 8 |
| Issue number | 1 |
| Publication status | Published - 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.
Keywords
- Maximal regularity, Nonlinear parabolic equation, Stokes flow, Surface tension
ASJC Scopus subject areas
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Mathematical Fluid Mechanics, Vol. 8, No. 1, 02.2006, p. 1-35.
Research output: Contribution to journal › Article › Research › 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 -