Special Session 68: (In)Stability and the long time behaviour of fluid flows

Stability result for the 2D Boussinesq equations with horizontal dissipation

Bataa Lkhagvasuren
Chonnam National University
Korea
Co-Author(s):    Lkhagvasuren Bataa
Abstract:
The stability of smooth solutions of 2D anisotropic Boussinesq equations 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.