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

Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (4): 442-457.

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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.

Abstract

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

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

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