Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on Lp-spaces

被引：5

作者：

Al Baba, Hind ^{[1
]}

Amrouche, Cherif ^{[1
]}

Escobedo, Miguel ^{[2
]}

机构：

[1] Univ Pau & Pays Adour, CNRS 5142, Lab Math & Leurs Applicat, UMR, Batiment IPRA,Ave Univ,BP 1155, F-64013 Pau, France

[2] Univ Basque Country, Fac Ciencias & Tecnol, Dept Matemat, Barrio Sarriena S-N, Lejona 48940, Vizcaya, Spain

来源：

RECENT ADVANCES IN PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2016年 / 666卷

关键词：

Analytic semi-group; Stokes operator; Navier-type boundary condition; L-p-spaces; VECTOR POTENTIALS; EQUATIONS;

D O I：

10.1090/conm/666/13337

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on LP-spaces. This allows us to solve the evolution Stokes problems together with the boundary condition.

引用

页码：23 / 40

页数：18

共 12 条

[1] Semi-Group Theory for the Stokes Operator with Navier-Type Boundary Conditions on Lp-Spaces
Hind Al Baba
Chérif Amrouche
Miguel Escobedo
Archive for Rational Mechanics and Analysis, 2017, 223 : 881 - 940
[2] Semi-Group Theory for the Stokes Operator with Navier-Type Boundary Conditions on L p -Spaces
Al Baba, Hind
Amrouche, Cherif
Escobedo, Miguel
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 223 (02) : 881 - 940
[3] STOKES AND NAVIER-STOKES PROBLEMS WITH NAVIER-TYPE BOUNDARY CONDITION IN LP-SPACES
Al Baba, Hind
Amrouche, Cherif
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2019, 11 (02): : 203 - 226
[4] ON THE STOKES EQUATIONS WITH THE NAVIER-TYPE BOUNDARY CONDITIONS
Amrouche, Cherif
Seloula, Nour El Houda
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2011, 3 (04): : 581 - 607
[5] L2-Decay of Solutions to the Navier-Stokes System with Navier-Type Boundary Conditions
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Jazar, Mustapha
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2021, 23 (03)
[6] VECTOR POTENTIALS WITH MIXED BOUNDARY CONDITIONS. APPLICATION TO THE STOKES PROBLEM WITH PRESSURE AND NAVIER-TYPE BOUNDARY CONDITIONS
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SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (02) : 1745 - 1784
[7] ON THE ANALYTICITY OF THE SEMIGROUP GENERATED BY THE STOKES OPERATOR WITH NEUMANN-TYPE BOUNDARY CONDITIONS ON LIPSCHITZ SUBDOMAINS OF RIEMANNIAN MANIFOLDS
Mitrea, Marius
Monniaux, Sylvie
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (06) : 3125 - 3157
[8] On L3-stability of strong solutions of the Navier-Stokes equations with the Navier-type boundary conditions
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Neustupa, Jiri
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (02) : 731 - 737
[9] The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions
Neustupa, Jiri
Al Baba, Hind
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 463 (01) : 222 - 234
[10] Lp-theory for the exterior Stokes problem with Navier's type slip-without-friction boundary conditions
Dhifaoui, Anis
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (03):

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