STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅱ: WELL-POSEDNESS ANALYSIS

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (4): 442-457.

STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅱ: WELL-POSEDNESS ANALYSIS

李开泰, 何银年

Reseurch Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:1994-06-28 修回日期:1995-04-23 出版日期:1996-12-25 发布日期:1996-12-25
基金资助:
Project Supported by NSFC &, State Key Major Project of Basic Resenrch.

STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅱ: WELL-POSEDNESS ANALYSIS

Li Kaitai, He Yinnian

Reseurch Center for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China

Received:1994-06-28 Revised:1995-04-23 Online:1996-12-25 Published:1996-12-25
Supported by:
Project Supported by NSFC &, State Key Major Project of Basic Resenrch.

摘要/Abstract

摘要： In this paper,we recall the Stokes coupling method for solving the exterior unsteady Navier-Stokes equations.Moreover, we derive the coupling variational formulation of the Stokes coupling problem by use of the integral representations of the solution of the Stokes equations at an infinite domain.Finally, we provide some properties of the integral operators over the artificial boundary and the well-posedness of the coupling variational formulation.

关键词: Navier-Stokes equations, Well-posedness, Coupling varational formulation

Abstract: In this paper,we recall the Stokes coupling method for solving the exterior unsteady Navier-Stokes equations.Moreover, we derive the coupling variational formulation of the Stokes coupling problem by use of the integral representations of the solntion of the Stokes equations at an infinite domain.Finally, we provide some properties of the integral operators over the artificial boundary and the well-posedness of the coupling variational formulation.

Key words: Navier-Stokes equations, Well-posedness, Coupling varational formulation

李开泰, 何银年. STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅱ: WELL-POSEDNESS ANALYSIS[J]. 数学物理学报(英文版), 1996, 16(4): 442-457.

Li Kaitai, He Yinnian. STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅱ: WELL-POSEDNESS ANALYSIS[J]. Acta mathematica scientia,Series B, 1996, 16(4): 442-457.

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STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅱ: WELL-POSEDNESS ANALYSIS

STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅱ: WELL-POSEDNESS ANALYSIS

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