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

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

• Articles • Previous Articles Next Articles

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.

Trendmd

[1]	Feimin HUANG, Yong WANG. MACROSCOPIC REGULARITY FOR THE BOLTZMANN EQUATION [J]. Acta mathematica scientia,Series B, 2018, 38(5): 1549-1566.
[2]	Huanyao WEN, Lei YAO, Changjiang ZHU. REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS [J]. Acta mathematica scientia,Series B, 2018, 38(5): 1617-1636.
[3]	Shibin SU, Xiaokui ZHAO. GLOBAL WELLPOSEDNESS OF MAGNETOHYDRODYNAMICS SYSTEM WITH TEMPERATURE-DEPENDENT VISCOSITY [J]. Acta mathematica scientia,Series B, 2018, 38(3): 898-914.
[4]	Jianlin ZHANG, Yuming QIN. EXACT SOLUTIONS FOR THE CAUCHY PROBLEM TO THE 3D SPHERICALLY SYMMETRIC INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J]. Acta mathematica scientia,Series B, 2018, 38(3): 778-790.
[5]	Shaojun TANG, Lan ZHANG. NONLINEAR STABILITY OF VISCOUS SHOCK WAVES FOR ONE-DIMENSIONAL NONISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A CLASS OF LARGE INITIAL PERTURBATION [J]. Acta mathematica scientia,Series B, 2018, 38(3): 973-1000.
[6]	Weifeng JIANG, Kaitai LI. HELICAL SYMMETRIC SOLUTION OF 3D NAVIER-STOKES EQUATIONS ARISING FROM GEOMETRIC SHAPE OF THE BOUNDARY [J]. Acta mathematica scientia,Series B, 2018, 38(3): 1057-1104.
[7]	Hakho HONG, Teng WANG. ZERO DISSIPATION LIMIT TO A RIEMANN SOLUTION FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS [J]. Acta mathematica scientia,Series B, 2017, 37(5): 1177-1208.
[8]	Guangzhi DU, Liyun ZUO. LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS [J]. Acta mathematica scientia,Series B, 2017, 37(5): 1331-1347.
[9]	Minjie JIANG, Wei YAN, Yimin ZHANG. SHARP WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE HIGHER-ORDER DISPERSIVE EQUATION [J]. Acta mathematica scientia,Series B, 2017, 37(4): 1061-1082.
[10]	Min DING, Shengbo GONG. NONLINEAR ANALYSIS ON THE VIBRATION OF ELASTIC PLATES [J]. Acta mathematica scientia,Series B, 2017, 37(2): 511-526.
[11]	Zaiyun ZHANG, Jianhua HUANG, Mingbao SUN. ALMOST CONSERVATION LAWS AND GLOBAL ROUGH SOLUTIONS OF THE DEFOCUSING NONLINEAR WAVE EQUATION ON R² [J]. Acta mathematica scientia,Series B, 2017, 37(2): 385-394.
[12]	Yulin YE. GLOBAL CLASSICAL SOLUTION TO THE CAUCHY PROBLEM OF THE 3-D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY [J]. Acta mathematica scientia,Series B, 2016, 36(5): 1419-1432.
[13]	Huihui KONG, Hai-Liang LI, Xingwei ZHANG. A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY [J]. Acta mathematica scientia,Series B, 2016, 36(4): 1153-1166.
[14]	Zhaohui HUO. GLOBAL WELL-POSEDNESS IN ENERGY SPACE OF SMALL AMPLITUDE SOLUTIONS FOR KLEIN-GORDON-ZAKHAROV EQUATION IN THREE SPACE DIMENSION [J]. Acta mathematica scientia,Series B, 2016, 36(4): 1117-1152.
[15]	Tijani A. APALARA. UNIFORM DECAY IN WEAKLY DISSIPATIVE TIMOSHENKO SYSTEM WITH INTERNAL DISTRIBUTED DELAY FEEDBACKS [J]. Acta mathematica scientia,Series B, 2016, 36(3): 815-830.

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

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10