| 可压缩Navier-Stokes方程组解的全局存在性和渐近性注记 |
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| 引用本文： | 于晓娜,秦玉明. 可压缩Navier-Stokes方程组解的全局存在性和渐近性注记[J]. 河南大学学报(自然科学版), 2008, 38(4): 331-338 |
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| 作者姓名： | 于晓娜 秦玉明 |
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| 作者单位： | 东华大学,应用数学系,上海,200051;东华大学,应用数学系,上海,200051 |
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| 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.
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| 关 键 词： | 全局存在性 渐近性 一致先验估计 |
Remarks on Global Existence and Asymptotic Behavior for the Compressible Navier-Stokes Equations |
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| YU Xiao-na,QIN Yu-ming. Remarks on Global Existence and Asymptotic Behavior for the Compressible Navier-Stokes Equations[J]. Journal of Henan University(Natural Science), 2008, 38(4): 331-338 |
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| Authors: | YU Xiao-na QIN Yu-ming |
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| Abstract: | In this paper, we prove the global existence and asymptotic behavior, as time tends to infinity, of solutions in H2 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. |
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| Keywords: | global existence asymptotic behavior a uniform priori estimates |
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