We consider the Benard convection in a three-dimensional domain bounded below by a fixed flatten boundary and above by a free moving surface. The domain is horizontally periodic. The fluid dynamics are governed by the Boussinesq approximation and the effect of surface tension is neglected on the free surface. Here we develop a local well-posedness theory for the equations of general case in the framework of the nonlinear energy method.SCI(E)ARTICLE4903-9561
The onset of convection in systems that are heated via current dissipation in the lower bound-ary or...
Research on convective-diffusive fluid motions in porous media has a notable relevance (increasing w...
We prove that the 3-D compressible Euler equations with surface tension along the moving fr...
This thesis deals with infinite energy solutions of the Navier-Stokes and Boussi-nesq equations in a...
We regard the Cauchy problem for a particular Whitham–Boussinesq system modelling surface waves of a...
Surface-tension-driven convection in a planar fluid layer is studied by numerical simulation of the ...
We consider the evolution of contact lines for viscous fluids in a two-dimensional open-top vessel. ...
National audienceWe are concerned with the so-called Boussinesq equations with partial viscosity. Th...
We provide a new method for treating free boundary problems in perfect fluids, and prove lo...
[EN] In this paper we prove the existence of strong solutions for the stationary Benard-Marangoni pr...
Provided here is numerical evidence of localized solutions, solitary waves, in a model equation for ...
We prove that the 3-D compressible Euler equations with surface tension along the moving free-bounda...
Nonlinear two-dimensional Rayleigh{Benard convection with periodic boundary conditions in the horizo...
Abstract. This paper is devoted to the the study of density-dependent, incompressible Navier-Stokes ...
We prove the global well-posedness for the 2-D Boussinesq system with the temperature-dependent visc...
The onset of convection in systems that are heated via current dissipation in the lower bound-ary or...
Research on convective-diffusive fluid motions in porous media has a notable relevance (increasing w...
We prove that the 3-D compressible Euler equations with surface tension along the moving fr...
This thesis deals with infinite energy solutions of the Navier-Stokes and Boussi-nesq equations in a...
We regard the Cauchy problem for a particular Whitham–Boussinesq system modelling surface waves of a...
Surface-tension-driven convection in a planar fluid layer is studied by numerical simulation of the ...
We consider the evolution of contact lines for viscous fluids in a two-dimensional open-top vessel. ...
National audienceWe are concerned with the so-called Boussinesq equations with partial viscosity. Th...
We provide a new method for treating free boundary problems in perfect fluids, and prove lo...
[EN] In this paper we prove the existence of strong solutions for the stationary Benard-Marangoni pr...
Provided here is numerical evidence of localized solutions, solitary waves, in a model equation for ...
We prove that the 3-D compressible Euler equations with surface tension along the moving free-bounda...
Nonlinear two-dimensional Rayleigh{Benard convection with periodic boundary conditions in the horizo...
Abstract. This paper is devoted to the the study of density-dependent, incompressible Navier-Stokes ...
We prove the global well-posedness for the 2-D Boussinesq system with the temperature-dependent visc...
The onset of convection in systems that are heated via current dissipation in the lower bound-ary or...
Research on convective-diffusive fluid motions in porous media has a notable relevance (increasing w...
We prove that the 3-D compressible Euler equations with surface tension along the moving fr...