Metastability for the Dissipative Quasi-Geostrophic Equation and the Non-local Enhancement
نویسندگان
چکیده
In this paper, we study the metastability for 2-D linearized dissipative quasi-geostrophic equation with small viscosity $\nu$ around quasi steady state $\theta_{sin}=e^{-\nu t}\sin y$. We proved linear enhanced dissipation and obtained rate. Moreover, new non-local enhancement phenomenon was discovered discussed. Precisely showed that term re-enhances diffusion effect by shear-diffusion mechanism.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2023
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-023-04671-3