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
Existence of strong solutions for nonisothermal Korteweg system
This work is devoted to the study of the initial boundary value problem for a general non isothermal model of capillary fluids derived by J. E Dunn and J. Serrin (1985) in [9, 16], which can be used as a phase transition model.We distinguish two cases, when the physical coefficients depend only on the density, and the general case. In the first case we can work in critical scaling spaces, and we prove global existence of solution and uniqueness for data close to a stable equilibrium. For general...
Existence Theorem in the variational problem for compressible inviscid Fluids.
Existence theorems for compressible viscous fluids having zero shear viscosity