Articles

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

  • WANG Shu-Juan ,
  • ZHAO Jun-Ning
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  • School of Mathematics, Xiamen University, Fujian Xiamen 361005, China

Received date: 2010-05-14

  Online published: 2010-11-20

Abstract

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(10)60181-6

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