Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation

arXiv: Analysis of PDEs Pub Date : 2020-08-29 DOI:10.1090/TRAN/8406

Weiwei Ao, J. Dávila, Manuel del Pino, M. Musso, Juncheng Wei

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引用次数: 26

Abstract

For the generalized surface quasi-geostrophic equation $$\left\{ \begin{aligned} & \partial_t \theta+u\cdot \nabla \theta=0, \quad \text{in } \mathbb{R}^2 \times (0,T), \\ & u=\nabla^\perp \psi, \quad \psi = (-\Delta)^{-s}\theta \quad \text{in } \mathbb{R}^2 \times (0,T) , \end{aligned} \right. $$ $0

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广义无粘面拟地转方程的移动解和旋转解

对于广义曲面准地转方程$$\left\{ \begin{aligned} & \partial_t \theta+u\cdot \nabla \theta=0, \quad \text{in } \mathbb{R}^2 \times (0,T), \\ & u=\nabla^\perp \psi, \quad \psi = (-\Delta)^{-s}\theta \quad \text{in } \mathbb{R}^2 \times (0,T) , \end{aligned} \right. $$$0

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arXiv: Analysis of PDEs

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