Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (6): 1889-1905.doi: 10.1016/S0252-9602(10)60181-6

• Articles • Previous Articles     Next Articles

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

 WANG Shu-Juan, ZHAO Jun-Ning   

  1. 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

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.

Key words: impermeable problem, global existence, continuity argument

CLC Number: 

  • 35L60
Trendmd