ON THE YUDOVICH'S TYPE SOLUTIONS FOR THE 2D BOUSSINESQ SYSTEM WITH THERMAL DIFFUSIVITY
Langue
en
Article de revue
Ce document a été publié dans
Discrete and Continuous Dynamical Systems - Series A. 2020
American Institute of Mathematical Sciences
Date de soutenance
2020Résumé en anglais
The goal of this paper is to study the two-dimensional inviscid Boussinesq equations with temperature-dependent thermal diffusivity. Firstly we establish the global existence theory and regularity estimates for this system ...Lire la suite >
The goal of this paper is to study the two-dimensional inviscid Boussinesq equations with temperature-dependent thermal diffusivity. Firstly we establish the global existence theory and regularity estimates for this system with Yudovich's type initial data. Then we investigate the vortex patch problem, and proving that the patch remains in Hölder class C 1+s (0 < s < 1) for all the time.< Réduire
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