Approximation et temps de vie des solutions des équations d'Euler isentropiques en dimension deux d'espace
Asymptotic behavior of solutions to the compressible Navier-Stokes equations on the half space
Asymptotic behavior of the solutions to a one-dimensional motion of compressible viscous fluids
We study the one-dimensional motion of the viscous gas represented by the system , , with the initial and the boundary conditions , . We are concerned with the external forces, namely the function , which do not become small for large time . The main purpose is to show how the solution to this problem behaves around the stationary one, and the proof is based on an elementary -energy method.
Asymptotic Behaviour of the density for one-dimensional navier-stokes equations.
Asymptotic Expansions of the Pressure and the Free Boundary for Flows through Porous Media.
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.
Compactness of bounded quasientropy solutions to the system of equations of an isothermal gas.
Decay estimates for the compressible Navier-Stokes equations in unbounded domains.
Description of the multi-dimensional finite volume solver EULER
This paper is aimed at the description of the multi-dimensional finite volume solver EULER, which has been developed for the numerical solution of the compressible Euler equations during several last years. The present overview of numerical schemes and the explanation of numerical techniques and tricks which have been used for EULER could be of certain interest not only for registered users but also for numerical mathematicians who have decided to implement a finite volume solver themselves. This...
Directional coarsening and smoothing for anisotropic Navier-Stokes problems.
Dynamics of Singularity Surfaces for Compressible Navier-Stokes Flows in Two Space Dimensions
We prove the global existence of solutions of the Navier-Stokes equations of compressible, barotropic flow in two space dimensions with piecewise smooth initial data. These solutions remain piecewise smooth for all time, retaining simple jump discontinuities in the density and in the divergence of the velocity across a smooth curve, which is convected with the flow. The strengths of these discontinuities are shown to decay exponentially in time, more rapidly for larger acoustic speeds and smaller...
Elastic wave propagation in fluid-saturated porous media. Part I. The existence and uniqueness theorems
Elastic wave propagation in fluid-saturated porous media. Part II. The Galerkin procedures
Equations of magnetohydrodynamics of compressible fluid: Periodic solutions
The authors prove the global existence and exponential stability of solutions of the given system of equations under the condition that the initial velocities and the external forces are small and the initial density is not far from a constant one. If the external forces are periodic, then solutions periodic with the same period are obtained. The investigated system of equations is a bit non-standard - for example the displacement current in the Maxwell equations is not neglected.
Equazioni stocastiche di un gas viscoso
Existence globale dans des espaces critiques pour le système de Navier-Stokes compressible
Existence of a global solution to a model problem of atmosphere dynamics.
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 solutions for compressible fluid models of Korteweg type