可压缩Navier-Stokes方程组解的全局存在性和渐近性注记(英文)  

Remarks on Global Existence and Asymptotic Behavior for the Compressible Navier-Stokes Equations

作　　者：于晓娜[1] 秦玉明[1] 

机构地区：[1]东华大学应用数学系,上海200051

出　　处：《河南大学学报（自然科学版）》2008年第4期331-338,共8页Journal of Henan University:Natural Science

基　　金：The Nation Natural Science Foundation of China(10571024)

摘　　要：讨论在有非自治外力和热源的情况下,一般粘性热传导可压缩气体在有界区域上的一维运动,研究了可压的Navier-Stokes气体方程组解的全局存在性和渐近性.文中利用估计式1+sup0≤s≤t‖θ(t)‖L∞及渐近性引理来证得这些结果.In this paper, we prove the global existence and asymptotic behavior, as time tends to infinity, of solutions in H^2 to the initial boundary value problem of the compressible Navier-Stokes equations of one-dimensional motion of a viscous heat conducting gas in a bounded region with a non-autonomous external force and a heat source. The expression 1 ＋sup0≤s≤t‖θ（t）‖L^∞ and the asymptotic lemma are used to prove these results.

关 键 词：全局存在性 渐近性 一致先验估计 

分 类 号：O175.28[理学—数学]