ON THE STRIATED REGULARITY FOR THE 2D ANISOTROPIC BOUSSINESQ SYSTEM
Language
en
Article de revue
This item was published in
Journal of Nonlinear Science. 2020
Springer Verlag
Date
2020English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported