REMARKS ON THE Lp-APPROACH TO THE STOKES EQUATION ON UNBOUNDED DOMAINS

被引：2

作者：

Geissert, Matthias ^{[1
]}

Heck, Horst ^{[1
]}

Hieber, Matthias ^{[1
]}

Sawada, Okihiro ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2010年 / 3卷 / 02期

关键词：

Stokes equation; unbounded domains; noncompact boundary;

D O I：

10.3934/dcdss.2010.3.291

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a domain Omega subset of R-n with uniform C-3-boundary and assume that the Helmholtz projection P exists on L-p(Omega) for some 1 < p < infinity. Of concern are recent results on the Stokes operator in L-p(Omega) generating an analytic semigroup on L-p(Omega) and admitting maximal L-p-L-q-regularity.

引用

页码：291 / 297

页数：7

共 50 条

[21] The Navier-Stokes equations over unbounded domains
Kähler, UU
PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 1431 - 1446
[22] Navier-Stokes equations with delays on unbounded domains
Garrido-Atienza, MJ
Marín-Rubio, P
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (05) : 1100 - 1118
[23] On Stokes operators with variable viscosity in bounded and unbounded domains
Abels, Helmut
Terasawa, Yutaka
MATHEMATISCHE ANNALEN, 2009, 344 (02) : 381 - 429
[24] Stochastic Navier–Stokes Equations in Unbounded Channel Domains
Utpal Manna
Manil T. Mohan
Sivaguru S. Sritharan
Journal of Mathematical Fluid Mechanics, 2015, 17 : 47 - 86
[25] On Stokes operators with variable viscosity in bounded and unbounded domains
Helmut Abels
Yutaka Terasawa
Mathematische Annalen, 2009, 344 : 381 - 429
[26] THE LP-APPROACH TO THE FLUID-RIGID BODY INTERACTION PROBLEM FOR COMPRESSIBLE FLUIDS
Hieber, Matthias
Murata, Miho
EVOLUTION EQUATIONS AND CONTROL THEORY, 2015, 4 (01): : 69 - 87
[27] On local solutions to a free boundary problem for incompressible viscous magnetohydrodynamics in the Lp-approach
Shibata, Yoshihiro
Zajaczkowski, Wojciech M.
DISSERTATIONES MATHEMATICAE, 2021, 566 : 1 - 102
[28] RAPID SOLUTION OF THE WAVE EQUATION IN UNBOUNDED DOMAINS
Banjai, L.
Sauter, S.
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 47 (01) : 227 - 249
[29] Improved accuracy for the Helmholtz equation in unbounded domains
Turkel, E
Farhat, C
Hetmaniuk, U
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 59 (15) : 1963 - 1988
[30] Regular solutions for Schrodinger equation on unbounded domains
Ren, YX
Wu, R
ACTA MATHEMATICA SCIENTIA, 1998, 18 (04) : 387 - 393

← 1 2 3 4 5 →