Approximation et temps de vie des solutions des équations d'Euler isentropiques en dimension deux d'espace
Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity.
Approximations of effective coefficients in stochastic homogenization
Asymptotic behavior of a non-Newtonian flow with stick-slip condition.
Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions.
Asymptotic behaviour in planar vortex theory
The asymptotic behaviour of solutions of a class of free-boundary problems arising in vortex theory is discussed.
Asymptotic dynamics in double-diffusive convection
We consider the double-diffusive convection phenomenon and analyze the governing equations. A system of partial differential equations describing the convective flow arising when a layer of fluid with a dissolved solute is heated from below is considered. The problem is placed in a functional analytic setting in order to prove a theorem on existence, uniqueness and continuous dependence on initial data of weak solutions in the class . This theorem enables us to show that the infinite-dimensional...
Asymptotic estimates for a perturbation of the linearization of an equation for compressible viscous fluid flow
We prove a priori estimates for a linear system of partial differential equations originating from the equations for the flow of a barotropic compressible viscous fluid under the influence of the gravity it generates. These estimates will be used in a forthcoming paper to prove the nonlinear stability of the motionless, spherically symmetric equilibrium states of barotropic, self-gravitating viscous fluids with respect to perturbations of zero total angular momentum. These equilibrium states as...
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows
Asymptotic stability of a stationary flowing regime of an ideal incompressible fluid.
Asymptotic-Preserving scheme for a two-fluid Euler-Lorentz model
The present work is devoted to the simulation of a strongly magnetized plasma as a mixture of an ion fluid and an electron fluid. For simplicity reasons, we assume that each fluid is isothermal and is modelized by Euler equations coupled with a term representing the Lorentz force, and we assume that both Euler systems are coupled through a quasi-neutrality constraint of the form ni = ne. The numerical method which is described in the...
Asymptotics for critical nonconvective type equations.
Attractor for a viscous coupled Camassa-Holm equation.
Autour du problème des vortex patches
Baroclinic Kelvin Waves in a Rotating Circular Basin
A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover,...
Benjamin–Ono periodic bifurcating water waves in presence of an essential spectrum
Bifurcation and symmetry in problems of capillary-gravity waves.
Bipolar barotropic non-newtonian compressible fluids
Bipolar Barotropic Non-Newtonian Compressible Fluids
We are interested in a barotropic motion of the non-Newtonian bipolar fluids . We consider a special case where the stress tensor is expressed in the form of potentials depending on eii and . We prove the asymptotic stability of the rest state under the assumption of the regularity of the potential forces.
Bipolar barotropic nonnewtonian fluid
The paper describes the special situation of barotropic nonnewtonian fluid, where stress tensor can be written in the form of potentials which depend on and . For this case, we prove the existence and uniqueness of weak solution.