Pullback $\mathcal{D}$-attractors for the non-autonomous Newton-Boussinesq equation in two-dimensional bounded domain
Pullback $\mathcal{D}$-attractors for the non-autonomous Newton-Boussinesq equation in two-dimensional bounded domain
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DOI：
10.3934/dcds.2012.32.991
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发表时间：
2011-10
影响因子：
1.1
通讯作者：
Xue-li Song;Yanren Hou
中科院分区：
文献类型：
--
作者：
Xue-li Song;Yanren Hou
研究了二维有界区域上一类非自治Newton-Boussinesq方程解的渐近性态。分别证明了$L^2（\Omega）\times L^2（\Omega）$和$H^1（\Omega）\times H^1（\Omega）$中拉回全局吸引子的存在性.
We investigate the asymptotic behavior of solutions of a class of non-autonomous Newton-Boussinesq equation in two-dimensional bounded domain. The existence of pullback global attractors is proved in $L^2(\Omega)\times L^2(\Omega)$ and $H^1(\Omega)\times H^1(\Omega)$, respectively.