Exact solutions of steady plane MHD aligned flows using - or -coordinates.
Existence and stability of solitary waves of Boussinesq-type equations
Existence and stability of steady waves for the Hasegawa-Mima equation.
Existence and uniqueness for magnetohydrodynamic flows in pipes with viscosity dependent on the temperature.
Existence and uniqueness of global solutions to a model for the flow of an incompressible, barotropic fluid with capillary effects.
Existence by minimisation of solitary water waves on an ocean of infinite depth
Existence de nappes de tourbillon pour l'équation d'Euler sur le plan
Existence de solutions faibles pour un modèle d'écoulement triphasique en milieu poreux
Existence for a stationary model of binary alloy solidification
Existence for the stationary MHD-equations coupled to heat transfer with nonlocal radiation effects
We consider the problem of influencing the motion of an electrically conducting fluid with an applied steady magnetic field. Since the flow is originating from buoyancy, heat transfer has to be included in the model. The stationary system of magnetohydrodynamics is considered, and an approximation of Boussinesq type is used to describe the buoyancy. The heat sources given by the dissipation of current and the viscous friction are not neglected in the fluid. The vessel containing the fluid is embedded...
Existence of a global solution to a model problem of atmosphere dynamics.
Existence of axisymmetric weak solutions of the 3-D Euler equations for near-vortex-sheet initial data.
Existence of global solution for a differential system with initial data in .
Existence of global solutions to the 2-D subcritical dissipative quasi-geostrophic equation and persistency of the initial regularity.
Existence of entropy solutions for a reacting Euler system.
Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Existence of permanent and breaking waves for a shallow water equation : a geometric approach
The existence of global solutions and the phenomenon of blow-up of a solution in finite time for a recently derived shallow water equation are studied. We prove that the only way a classical solution could blow-up is as a breaking wave for which we determine the exact blow-up rate and, in some cases, the blow-up set. Using the correspondence between the shallow water equation and the geodesic flow on the manifold of diffeomorphisms of the line endowed with a weak Riemannian structure, we give sufficient...
Existence of reaction-diffusion-convection waves in unbounded strips.
Existence of solutions for an Oldroyd model of viscoelastic fluids.
Existence of solutions for compressible fluid models of Korteweg type