In our paper we study the localization problem of compact invariant sets of the system modelling the Rayleigh-Bénard convection. Our results are based on using the first order extremum conditions, quadratic localizing functions and the symmetrical prolongation constructed between the Lorenz system and this sys-tem
We construct a determining form for the 2D Rayleigh-B\'enard (RB) system in a strip with solid horiz...
2siWe study 4d N= 1 supersymmetric theories on a compact Euclidean manifold of the form S1 × ℳ3. Par...
A two-dimensional and dissipative Rayleigh-Bénard convection can be approximated by Lorenz model, w...
We prove the existence of domain walls for the Bénard-Rayleigh convection problem. Our approach reli...
International audienceWe prove the existence of domain walls for the Bénard-Rayleigh convection prob...
International audienceWe prove the existence of domain walls for the Bénard-Rayleigh convection in t...
The paper concerns the radially symmetric Cauchy–Dirichlet and Cauchy–Neumann problems for the porou...
The Rayleigh–Bénard system with stress-free boundary conditions is shown to have a global attractor ...
Based on an extension of the Lorenz truncation scheme, a chaotic mathematical model is developed to ...
The localization problem of compact invariant sets of a nonlinear system of ordinary differential eq...
This is the third in a sequel in our study of Rayleigh-Bénard convection at large Prandtl number. Mo...
A numerical experiment allows us to know the amplitudes of several modes of convection for super-cri...
The onset of convection in systems that are heated via current dissipation in the lower bound-ary or...
This is the third in a series of our study of Rayleigh-Bénard convection at large Prandtl number. He...
We use a local energy method to study the spatial localization of the supports of the solutions of a...
We construct a determining form for the 2D Rayleigh-B\'enard (RB) system in a strip with solid horiz...
2siWe study 4d N= 1 supersymmetric theories on a compact Euclidean manifold of the form S1 × ℳ3. Par...
A two-dimensional and dissipative Rayleigh-Bénard convection can be approximated by Lorenz model, w...
We prove the existence of domain walls for the Bénard-Rayleigh convection problem. Our approach reli...
International audienceWe prove the existence of domain walls for the Bénard-Rayleigh convection prob...
International audienceWe prove the existence of domain walls for the Bénard-Rayleigh convection in t...
The paper concerns the radially symmetric Cauchy–Dirichlet and Cauchy–Neumann problems for the porou...
The Rayleigh–Bénard system with stress-free boundary conditions is shown to have a global attractor ...
Based on an extension of the Lorenz truncation scheme, a chaotic mathematical model is developed to ...
The localization problem of compact invariant sets of a nonlinear system of ordinary differential eq...
This is the third in a sequel in our study of Rayleigh-Bénard convection at large Prandtl number. Mo...
A numerical experiment allows us to know the amplitudes of several modes of convection for super-cri...
The onset of convection in systems that are heated via current dissipation in the lower bound-ary or...
This is the third in a series of our study of Rayleigh-Bénard convection at large Prandtl number. He...
We use a local energy method to study the spatial localization of the supports of the solutions of a...
We construct a determining form for the 2D Rayleigh-B\'enard (RB) system in a strip with solid horiz...
2siWe study 4d N= 1 supersymmetric theories on a compact Euclidean manifold of the form S1 × ℳ3. Par...
A two-dimensional and dissipative Rayleigh-Bénard convection can be approximated by Lorenz model, w...