Extended thermodynamics of ideal gases with 14 fields
Finite element solution of flows through cascades of profiles in a layer of variable thickness
The paper is devoted to the numerical modelling of a subsonic irrotational nonviscous flow past a cascade of profiles in a variable thickness fluid layer. It leads to a nonlinear two-dimensional elliptic problem with nonstandard nonhomogeneous boundary conditions. The problem is discretized by the finite element method. Both theoretical and practical questions of the finite element implementation are studied; convergence of the method, numerical integration, iterative methods for the solution of...
Flow of a radiating gas between concentric cylinders
Fluides légèrement compressibles et limite incompressible
Fluid-structure interaction : analysis of a 3-D compressible model
Free boundary problems for nonstationary Navier-Stokes equations [Book]
Gasdynamic regularity: some classifying geometrical remarks.
Generic solvability for the 3-D Navier-Stokes equations with nonregular force.
Global existence and uniqueness of strong solutions for the magnetohydrodynamic equations.
Global existence for a nuclear fluid in one dimension: the case
We consider a simplified one-dimensional thermal model of nuclear matter, described by a system of Navier-Stokes-Poisson type, with a non monotone equation of state due to an effective nuclear interaction. We prove the existence of globally defined (large) solutions of the corresponding free boundary problem, with an exterior pressure which is not required to be positive, provided sufficient thermal dissipation is present. We give also a partial description of the asymptotic behaviour of the system,...
Global existence for a one-dimensional model in gas dynamics
We prove the existence of a global solution for a one-dimensio- nal Navier-Stokes system for a gas with internal capillarity.
Global existence of 2D slightly compressible viscous magneto-fluid motion.
Global existence of smooth solutions for the compressible viscous fluid flow with radiation in
This paper is concerned with the 3-D Cauchy problem for the compressible viscous fluid flow taking into account the radiation effect. For more general gases including ideal polytropic gas, we prove that there exists a unique smooth solutions in , provided that the initial perturbations are small. Moreover, the time decay rates of the global solutions are obtained for higher-order spatial derivatives of density, velocity, temperature, and the radiative heat flux.
Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics
In this paper, we prove the existence of a global solution to an initial-boundary value problem for 1-D flows of the viscous heat-conducting radiative and reactive gases. The key point here is that the growth exponent of heat conductivity is allowed to be any nonnegative constant; in particular, constant heat conductivity is allowed.
Global existence of solutions of the free boundary problem for the equations of magnetohydrodynamic compressible fluid
Global existence of solutions for equations describing a motion of magnetohydrodynamic compresible fluid in a domain bounded by a free surface is proved. In the exterior domain we have an electromagnetic field which is generated by some currents located on a fixed boundary. We have proved that the domain occupied by the fluid remains close to the initial domain for all time.
Global solution of viscous compressible barotropic multipolar gas in a finite channel with nonzero input and output
The paper contains the proof of global existence of weak solutions of the viscous compressible barotropic gas for the initial-boundary value problem in a finite channel.
Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws.
Global solution to the ideal compressible heat conductive multipolar fluid
Global solution to the isothermal compressible bipolar fluid in a finite channel with nonzero input and output
The paper contains the proof of global existence of weak solutions viscous compressible isothermal bipolar fluid of initial boundary value in a finite channel.
Global solutions of multidimensional approximate Navier-Stokes equations of a viscous gas.