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The lifespan of classical solutions for the inviscid Surface Quasi-geostrophic equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire ( IF 1.8 ) Pub Date : 2021-01-04 , DOI: 10.1016/j.anihpc.2020.12.005 Ángel Castro 1 , Diego Córdoba 1 , Fan Zheng 1
中文翻译:
无粘表面准地转方程经典解的寿命
更新日期:2021-01-04
Annales de l'Institut Henri Poincaré C, Analyse non linéaire ( IF 1.8 ) Pub Date : 2021-01-04 , DOI: 10.1016/j.anihpc.2020.12.005 Ángel Castro 1 , Diego Córdoba 1 , Fan Zheng 1
Affiliation
We consider classical solutions of the inviscid Surface Quasi-geostrophic equation that are a small perturbation ϵ from a radial stationary solution . We use a modified energy method to prove the existence time of classical solutions from to a time scale of . Moreover, by perturbing in a suitable direction we construct global smooth solutions, via bifurcation, that rotate uniformly in time and space.
中文翻译:
无粘表面准地转方程经典解的寿命
我们考虑无粘性表面准地转方程的经典解,它是来自径向平稳解的小扰动ϵ. 我们使用修正能量法来证明经典解的存在时间 到一个时间尺度 . 此外,通过在合适的方向上扰动,我们通过分叉构建了在时间和空间上均匀旋转的全局平滑解。