各向异性Sobolev空间中分数阶拟地转方程的稳定性
Stability Results of Fractional Surface Quasi-Geostrophic Equation in Anisotropic Sobolev Space
摘要: 本文针对二维分数阶表面准地转SQG方程的存在全局解，在初始数据 θ 0 属于非齐次各向异性Sobolev空间 H 0,α ( 1 2 <α<1 ) 条件下，利用Bony分解理论和Littlewood-Paley分解技术，证明了该方程解的稳定性。
Abstract: We prove the stability of a global solution for the fractional SQG equation under the conditions that the initial data θ 0 belongs to the nonhomogeneous anisotropic Sobolev space H 0,α with 1 2 <α<1 . The main tools employed in our analysis are the Bony decomposition theory and Littlewood-Paley decomposition technique.
文章引用：雒焕, 孙小春. 各向异性Sobolev空间中分数阶拟地转方程的稳定性[J]. 理论数学, 2026, 16(1): 228-237. https://doi.org/10.12677/pm.2026.161025

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