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

[31] The Attractors of Camassa–Holm Equation in Unbounded Domains
Gaocheng Yue
Applied Mathematics & Optimization, 2021, 83 : 2211 - 2240
[32] Resolvent Estimates in Lp for the Stokes Operator in Lipschitz Domains
Shen, Zhongwei
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 205 (02) : 395 - 424
[33] The Lp Dirichlet Problem for the Stokes System on Lipschitz Domains
Kilty, Joel
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2009, 58 (03) : 1219 - 1234
[34] REGULAR SOLUTIONS FOR SCHRODINGER EQUATION ON UNBOUNDED DOMAINS
任艳霞
吴荣
Acta Mathematica Scientia, 1998, (04) : 387 - 393
[35] Stabilization of the solutions of the wave equation in unbounded domains
Filinovskii, AV
SBORNIK MATHEMATICS, 1996, 187 (5-6) : 917 - 947
[36] Resolvent Estimates in Lp for the Stokes Operator in Lipschitz Domains
Zhongwei Shen
Archive for Rational Mechanics and Analysis, 2012, 205 : 395 - 424
[37] The Lp regularity problem for the Stokes system on Lipschitz domains
Geng, Jun
Kilty, Joel
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (04) : 1275 - 1296
[38] Difference potentials for the Navier-Stokes equations in unbounded domains
Faustino, N.
Guerlebeck, K.
Hommel, A.
Kaehler, U.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (06) : 577 - 595
[39] ON SOME COERCIVE ESTIMATES FOR THE STOKES PROBLEM IN UNBOUNDED-DOMAINS
BORCHERS, W
MIYAKAWA, T
LECTURE NOTES IN MATHEMATICS, 1992, 1530 : 71 - 84
[40] On the Global Well-Posedness and Decay of a Free Boundary Problem of the Navier-Stokes Equation in Unbounded Domains
Oishi, Kenta
Shibata, Yoshihiro
MATHEMATICS, 2022, 10 (05)

← 1 2 3 4 5 →