GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br#
COMPRESSIBLE FLUIDS

doi:10.1016/S0252-9602(12)60116-7

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1467-1486.doi: 10.1016/S0252-9602(12)60116-7

GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS

袁洪君^1*, 柳洪志^1,2, 乔节增², 李梵蓓²

1. Institute of Mathematics, Jilin University, Changchun 130012, China；
2. Inner Mongolia Finance and Economics College, Huhhot 010051, China

收稿日期:2010-10-13 出版日期:2012-07-20 发布日期:2012-07-20
通讯作者: 袁洪君,hjy@jlu.edu.cn E-mail:hjy@jlu.edu.cn; liuhz08@mails.jlu.edu.cn
基金资助:
This work is supported by the NSFC (10971080).

GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS

YUAN Hong-Jun^1*, LIU Hong-Zhi^1,2, QIAO Jie-Zeng², LI Fan-Pei²

1. Institute of Mathematics, Jilin University, Changchun 130012, China；
2. Inner Mongolia Finance and Economics College, Huhhot 010051, China

Received:2010-10-13 Online:2012-07-20 Published:2012-07-20
Contact: YUAN Hong-Jun,hjy@jlu.edu.cn E-mail:hjy@jlu.edu.cn; liuhz08@mails.jlu.edu.cn
Supported by:
This work is supported by the NSFC (10971080).

摘要/Abstract

摘要：

The aims of this paper are to discuss global existence and uniqueness of strong solution for a class of isentropic compressible navier-Stokes equations with non-Newtonian in one-dimensional bounded intervals. We prove two global existence results on strong solutions of isentropic compressible Navier-Stokes equations. The first result shows only the existence. And the second one shows the existence and uniqueness result based on the first result, but the uniqueness requires some compatibility condition.

关键词: Navier-Stokes equations, isentropic compressible fluids, global strong solu-tions, vacuum, non-Newtonian potential

Abstract:

Key words: Navier-Stokes equations, isentropic compressible fluids, global strong solu-tions, vacuum, non-Newtonian potential

中图分类号:

76N10

袁洪君, 柳洪志, 乔节增, 李梵蓓. GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS[J]. 数学物理学报(英文版), 2012, 32(4): 1467-1486.

YUAN Hong-Jun, LIU Hong-Zhi, QIAO Jie-Zeng, LI Fan-Pei. GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS[J]. Acta mathematica scientia,Series B, 2012, 32(4): 1467-1486.

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GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS

GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC#br# COMPRESSIBLE FLUIDS

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