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

作　　者：王淑娟 赵俊宁 

机构地区：[1]School of Mathematics, Xiamen University

出　　处：《Acta Mathematica Scientia》2010年第6期1889-1905,共17页数学物理学报（B辑英文版）

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.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 

分 类 号：O175.8[理学—数学]