Global well-posedness for Euler-Boussinesq system with critical dissipation
arXiv:0903.3747 · doi:10.1016/j.physd.2009.12.009
Abstract
In this paper we study a fractional diffusion Boussinesq model which couples the incompressible Euler equation for the velocity and a transport equation with fractional diffusion for the temperature. We prove global well-posedness results.
24 pages
References in corpus (4)
- Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
- A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation
- Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
- Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq equations
Cited by in corpus (10)
- On 3D Hall-MHD equations with fractional Laplacians: global well-posedness
- On the global solvability of the axisymmetric Boussinesq system with critical regularity
- On the global regularity of axisymmetric Navier-Stokes-Boussinesq system
- On a Lagrangian method for the convergence from a non-local to a local Korteweg capillary fluid model
- Global well-posedness for the Euler-Boussinesq system with axisymmetric data
- On the inviscid Boussinesq system with rough initial data
- A new approach for the regularity of weak solutions of the 3D Boussinesq system
- Inviscid limit for the viscous 2D Boussinesq system with temperature-dependent diffusivity
- Global existence and uniqueness for a non linear Boussinesq system in dimension two
- On Global Regularity of 2D Generalized Magnetohydrodynamic Equations