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- W2247607504 abstract "This article generalizes a previous work in which the author obtained a large lower bound for the lifespan of the solutions to the Primitive Equations, and proved convergence to the 3D quasi-geostrophic system for general and ill-prepared (possibly blowing-up) initial data that are regularization of vortex patches related to the potential velocity. These results were obtained for a very particular case when the kinematic viscosity $nu$ is equal to the heat diffusivity $nu '$, turning the diffusion operator into the classical Laplacian. Obtaining the same results without this assumption is much more difficult as it involves a non-local diffusion operator. The key to the main result is a family of a priori estimates for the 3D-QG system that we obtained in a companion paper." @default.
- W2247607504 created "2016-06-24" @default.
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- W2247607504 date "2018-03-01" @default.
- W2247607504 modified "2023-10-16" @default.
- W2247607504 title "Asymptotics and lower bound for the lifespan of solutions to the Primitive Equations" @default.
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