On symmetric equilibrium of an isothermal gas with a free boundary and a body force.
On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas.
On the barotropic motion of compressible perfect fluids
On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation
We consider a system of balance laws describing the motion of an ionized compressible fluid interacting with magnetic fields and radiation effects. The local-in-time existence of a unique smooth solution for the Cauchy problem is proven. The proof follows from the method of successive approximations.
On the evolution equations of viscous gaseous stars
On the Existence and Uniqueness of Non-homogeneous Motions in Exterior Domains.
On the existence for the Dirichlet problem for the compressible linearized Navier-Stokes system in the -framework
The existence of solutions to the Dirichlet problem for the compressible linearized Navier-Stokes system is proved in a class such that the velocity vector belongs to with r > 3. The proof is done in two steps. First the existence for local problems with constant coefficients is proved by applying the Fourier transform. Next by applying the regularizer technique the existence in a bounded domain is shown.
On the existence of stationary solutions to compressible Navier-Stokes equations
On the exterior steady problem for the equations of a viscous isothermal gas
We prove existence and a representation formula for solutions to the equations describing steady flows of an isothermal, viscous, compressible gas having a positive infimum for the density , moving in an exterior domain, when the speed of the obstacle and the external forces are sufficiently small.
On the Finite Element Approximation of a Cascade Flow Problem.
On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting capillary fluid.
On the global existence theorem for a free boundary problem for equations of a viscous compressible heat conducting fluid
We consider the motion of a viscous compressible heat conducting fluid in ℝ³ bounded by a free surface which is under constant exterior pressure. Assuming that the initial velocity is sufficiently small, the initial density and the initial temperature are close to constants, the external force, the heat sources and the heat flow vanish, we prove the existence of global-in-time solutions which satisfy, at any moment of time, the properties prescribed at the initial moment.
On the global stability of contact discontinuity for compressible Navier-Stokes equations
On the long-time behaviour of compressible fluid flows subjected to highly oscillating external forces
We show that the global-in-time solutions to the compressible Navier-Stokes equations driven by highly oscillating external forces stabilize to globally defined (on the whole real line) solutions of the same system with the driving force given by the integral mean of oscillations. Several stability results will be obtained.
On the motion of nonviscous compressible fluids in domains with boundary
On the regularization of the pressure field in compressible euler equations
On the stability of compressible Navier-Stokes-Korteweg equations
We consider the compressible Navier-Stokes-Korteweg (N-S-K) equations. Through a remarkable identity, we reveal a relationship between the quantum hydrodynamic system and capillary fluids. Using some interesting inequalities from quantum fluids theory, we prove the stability of weak solutions for the N-S-K equations in the periodic domain , when N=2,3.
On the stationary motion of compressible viscous fluids
On the two-dimensional compressible isentropic Navier–Stokes equations
We analyze the compressible isentropic Navier–Stokes equations (Lions, 1998) in the two-dimensional case with . These equations also modelize the shallow water problem in height-flow rate formulation used to solve the flow in lakes and perfectly well-mixed sea. We establish a convergence result for the time-discretized problem when the momentum equation and the continuity equation are solved with the Galerkin method, without adding a penalization term in the continuity equation as it is made in...
On the two-dimensional compressible isentropic Navier–Stokes equations
We analyze the compressible isentropic Navier–Stokes equations (Lions, 1998) in the two-dimensional case with . These equations also modelize the shallow water problem in height-flow rate formulation used to solve the flow in lakes and perfectly well-mixed sea. We establish a convergence result for the time-discretized problem when the momentum equation and the continuity equation are solved with the Galerkin method, without adding a penalization term in the continuity equation as it is made in Lions...