SOLVABILITY OF THE NAVIER-STOKES EQUATIONS ON MANIFOLDS WITH BOUNDARY

被引：14

作者：

PRIEBE, V ^{[1
]}

机构：

[1] RHEIN FRIEDRICH WILHELMS UNIV,INST ANGEW MATH,D-53115 BONN,GERMANY

来源：

MANUSCRIPTA MATHEMATICA | 1994年 / 83卷 / 02期

关键词：

AMS Subject Classification (1991): 35Q30; 76D05; 58G20;

D O I：

10.1007/BF02567605

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the solvability of the Navier-Stokes equations on manifolds with boundary. Iu particular, we concentrate on the inhomogeneous slip boundary condition. Our formulation of the equations takes into account a curvature term which results from a proper derivation of the Navier-Stokes equations. This term has not been considered in prior work.

引用

页码：145 / 159

页数：15

共 50 条

[1] The Navier-Stokes equations on manifolds with boundary ☆
Shao, Yuanzhen
Simonett, Gieri
Wilke, Mathias
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 416 : 1602 - 1659
[2] Solvability of Navier-Stokes Equations with Leak Boundary Conditions
Rong An~(1
ActaMathematicaeApplicataeSinica, 2009, 25 (02) : 225 - 234
[3] Solvability of Navier-Stokes equations with leak boundary conditions
Rong An
Yuan Li
Kai-tai Li
Acta Mathematicae Applicatae Sinica, English Series, 2009, 25 : 225 - 234
[4] Solvability of Navier-Stokes equations with leak boundary conditions
An, Rong
Li, Yuan
Li, Kai-tai
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2009, 25 (02): : 225 - 234
[5] On the local solvability of free boundary problem for the Navier-Stokes equations
Padula M.
Solonnikov V.A.
Journal of Mathematical Sciences, 2010, 170 (4) : 522 - 553
[6] SOLVABILITY OF THE FREE BOUNDARY VALUE PROBLEM OF THE NAVIER-STOKES EQUATIONS
Bae, Hantaek
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (03) : 769 - 801
[7] The natural solvability of the Navier-Stokes equations
Akysh , A. Sh
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2018, 92 (04): : 8 - 14
[8] On the Strong Solvability of the Navier-Stokes Equations
Amann, Herbert
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2000, 2 (01) : 16 - 98
[9] Solvability of generalized Navier-Stokes equations
Zhikov, V. V.
DOKLADY MATHEMATICS, 2008, 78 (03) : 896 - 900
[10] Solvability of generalized Navier-Stokes equations
V. V. Zhikov
Doklady Mathematics, 2008, 78 : 896 - 900

← 1 2 3 4 5 →