In this paper, we will show that solutions of the three-dimensional non-resistive and non-diffusive MHD-Boussinesq system are globally regular if initial data is axisymmetric swirl components velocity magnetic vorticity zero. Our main result extends previous ones on MHD Boussinesq system, method used here can also be applied to Rayleigh-Bénard convection system.

This paper establishes the global existence and uniqueness of solutions to a generalized 2D Euler-Boussinesq systems of equations with a logarithmically supercritical velocity.

In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero viscosity for rough initial data.

Three weakly nonlinear but fully dispersive Whitham–Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. numerical solutions all three compared with wave gauge measurements from a series laboratory experiments conducted by Dingemans (Comparison computations Boussinesq-like models measurements. Delft Hydraulics memo H168412, 1994). r...

We consider the n-dimensional Boussinesq equations with fractional dissipation, and establish a regularity criterion in terms of the velocity gradient in Besov spaces with negative order.

This article is a review of [6], which is concerned with the scattering theory for the Schrödinger-improved Boussinesq system in two space dimensions.

OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. A numerical investigation of high-Reynolds-number constant-volume non-Boussinesq density currents in deep ambient. The time-dependent behaviour of non-Boussinesq high-Reynolds-number density currents, released from a lock of height h 0 and length x 0 into ...

We present direct numerical simulations of Boussinesq and non-Boussinesq Rayleigh–Bénard convection in a rigid box containing a perfect gas. For small stratifications, which includes Boussinesq fluids, the first instability after steady rolls was an oscillatory instability ~a Hopf bifurcation!. The resulting convection was characterized by two hot and two cold blobs circulating each convective ...