ON THE STRIATED REGULARITY FOR THE 2D ANISOTROPIC BOUSSINESQ SYSTEM
Langue
en
Article de revue
Ce document a été publié dans
Journal of Nonlinear Science. 2020
Springer Verlag
Date de soutenance
2020Résumé en anglais
In this paper, we investigate the global existence and uniqueness of strong solutions to the 2D anisotoropic Boussinesq system for rough initial data with striated regularity. We prove the global well-posedness of the ...Lire la suite >
In this paper, we investigate the global existence and uniqueness of strong solutions to the 2D anisotoropic Boussinesq system for rough initial data with striated regularity. We prove the global well-posedness of the Boussinesq system with anisotropic thermal diffusion with initial vorticity being discontinuous across some smooth interface. In the case of an anisotropic horizontal viscosity, we study the propagation of the striated regularity for the smooth temperature patches problem. The proofs relies on the idea of Chemin to solve the 2-D vortex patch problem for ideal fluids, namely the striated regularity can help to bound the gradient of the velocity.< Réduire
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