论文标题

热溶液的热溶液的爆破

Blow-up of strong solutions of the Thermal Quasi-Geostrophic equation

论文作者

Crisan, Dan, Mensah, Prince Romeo

论文摘要

热准地藻(TQG)方程是一个耦合的方程式系统,该方程系统控制浮力的演变和流体的潜在涡度。如[4]中所证明的,它具有局部时间解决方案。在本文中,我们以经典的beale-kato-kato-majda爆炸标准(参见[3])的精神为欧拉方程的溶液提供了对热准地斑方程的溶液的标准。

The Thermal Quasi-Geostrophic (TQG) equation is a coupled system of equations that governs the evolution of the buoyancy and the potential vorticity of a fluid. It has a local in time solution as proved in [4]. In this paper, we give a criterion for the blow-up of solutions to the Thermal Quasi-Geostrophic equation, in the spirit of the classical Beale-Kato-Majda blow-up criterion (cf. [3]) for the solution of the Euler equation.

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