The lifespan of classical solutions for the inviscid Surface Quasi-geostrophic equation
نویسندگان
چکیده
We consider classical solutions of the inviscid Surface Quasi-geostrophic equation that are a small perturbation $\epsilon$ from radial stationary solution $\theta=|x|$. use modified energy method to prove existence time $\frac{1}{\epsilon}$ scale $\frac{1}{\epsilon^4}$. Moreover, by perturbing in suitable direction we construct global smooth solutions, via bifurcation, rotate uniformly and space.
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2021
ISSN: ['0294-1449', '1873-1430']
DOI: https://doi.org/10.1016/j.anihpc.2020.12.005