| 江飞,许建开,尹俊平.可压缩Navier-Stokes方程组球对称弱解的大时间行为[J].数学年刊A辑,2012,33(6):727~740 |
| 可压缩Navier-Stokes方程组球对称弱解的大时间行为 |
| Large Time Behavior of Spherically Symmetric Weak Solutions to Compressible Navier-Stokes Equations |
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| DOI： |
| 中文关键词: 可压缩Navier-Stokes方程组, 球对称,
弱解, 静止问题 |
| 英文关键词:Compressible Navier-Stokes equations, Spherically symmetric,
Weak solution, Stationary problem |
| 基金项目:国家自然科学基金(No.11101044)和国家天无基金(No.11126148) |
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| 中文摘要: |
| 研究了可压缩Navier-Stokes方程组
球对称弱解的大时间行为. 假设压强
$p(\varrho)=\varrho^\gamma$, 绝热指数$\gamma>1$, 外力是球对称的. 证明了假如外力满足一定的正则性及某种结构性条件, 则当时间
趋于无穷大时, 密度将趋于其对应的静止问题的唯一解. |
| 英文摘要: |
| The authors consider the large time behavior of spherically symmetric weak
solutions to compressible Navier-Stokes equations. It is assumed that
$p(\varrho)=\varrho^\gamma$, $\gamma>1$ and the volume force is
spherically symmetric. It is shown that for time tending to infinity,
the density approaches the unique solution to the stationary
problem, if the force satisfies certain regularity and
structural assumptions. |
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