GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE

doi:10.1016/S0252-9602(10)60181-6

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (6): 1889-1905.doi: 10.1016/S0252-9602(10)60181-6

GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE

王淑娟|赵俊宁

School of Mathematics, Xiamen University, Fujian Xiamen 361005, China

收稿日期:2010-05-14 出版日期:2010-11-20 发布日期:2010-11-20
通讯作者: Corresponding author: Zhao Junning E-mail:jnzhao@xmu.edu.cn

GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE

WANG Shu-Juan, ZHAO Jun-Ning

School of Mathematics, Xiamen University, Fujian Xiamen 361005, China

Received:2010-05-14 Online:2010-11-20 Published:2010-11-20
Contact: Corresponding author: Zhao Junning E-mail:jnzhao@xmu.edu.cn

摘要/Abstract

摘要：

We prove the existence of global solutions to the initial-boundary-value problem on the half space R⁺ for a one-dimensional viscous ideal polytropic gas. Some suitable assumptions are made to guarantee the existence of smooth solutions. Employing the L²-energy estimate, we prove that the impermeable problem has a unique global solutionis.

关键词: impermeable problem, global existence, continuity argument

Abstract:

Key words: impermeable problem, global existence, continuity argument

中图分类号:

35L60

王淑娟, 赵俊宁. GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE[J]. 数学物理学报(英文版), 2010, 30(6): 1889-1905.

WANG Shu-Juan, ZHAO Jun-Ning. GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE[J]. Acta mathematica scientia,Series B, 2010, 30(6): 1889-1905.

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GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE

GLOBAL EXISTENCE OF SOLUTIONS FOR ONE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE HALF SPACE

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