What is it about?

The stability of smooth solutions of anisotropic surface quasi-geostrophic equation with horizontal dissipation remains open problem. In this work, we present a partial answer to this problem in a rougher function space. The main tools used are the Littlewood-Paley theory and standard techniques.

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Why is it important?

The work gives a partial answer to the open problem in mathematical fluid mechanics.


We plan to use anisotrophic functions spaces in other unsolved problems.

Bataa Lkhagvasuren
Chonnam National University

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This page is a summary of: Stability result for the surface quasi-geostropic equations with horizontal dissipation in anisotropic Sobolev space, Journal of Mathematical Physics, September 2022, American Institute of Physics,
DOI: 10.1063/5.0087229.
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