The Existence of a Global Attractor for the Forced Critical Surface Quasi-Geostrophic Equation in $$L^2$$L2
The Existence of a Global Attractor for the Forced Critical Surface Quasi-Geostrophic Equation in $$L^2$$L2
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DOI：
10.1007/s00021-017-0324-7
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发表时间：
2014-02
影响因子：
1.3
通讯作者：
A. Cheskidov;Mimi Dai
中科院分区：
文献类型：
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作者：
A. Cheskidov;Mimi Dai
本文证明了由力驱动的临界面准地转方程存在一个紧的全局吸引子。首先，De Giorgi方法被用来获得一致估计的粘度的解决方案。即使这并不提供一个紧凑的吸收集，一个紧凑的整体吸引子的存在遵循的连续性的解决方案，这是通过估计的能量通量使用Littlewood-Paley分解。
We prove that the critical surface quasi-geostrophic equation driven by a forcefpossesses a compact global attractor inprovidedfor some. First, the De Giorgi method is used to obtain uniformestimates on viscosity solutions. Even though this does not provide a compact absorbing set, the existence of a compact global attractor follows from the continuity of solutions, which is obtained by estimating the energy flux using the Littlewood–Paley decomposition.