Schauder estimates for steady compressible Navier-Stokes equations in bounded domains
Semi-linearized compressible Navier-Stokes equations perturbed by noise.
Shock capturing and related numerical methods in computational fluid dynamics.
Singular limits for the compressible Euler equation in an exterior domain.
Singular limits for the compressible Euler equation in an exterior domain
Singular limits in fluidynamics
Sobre flujos subsónicos alrededor de un obstáculo simétrico.
Solution globale de l'équation d'un gaz visqueux isotherme dans l'espace entier avec une grande force extérieure dérivant d'un potentiel
Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces
A mathematical model of a fluid flow in a single-piston pump is formulated and solved. Variation of pressure and rate of flow in suction and delivery piping respectively is described by linearized Euler equations for barotropic fluid. A new phenomenon is introduced by a boundary condition with discontinuous coefficient describing function of a valve. The system of Euler equations is converted to a second order equation in the space where is length of the pipe. The existence, unicity and stability...
Solution of a mathematical model of a single piston pump with a more detailed description of the valve function
In this paper a mathematical model of a fluid flow in a tube with a valve and a pump is solved. The function of the valve is described in more detail than in [3], thus making the model more complete.
Solutions classiques globales des équations d'Euler pour un fluide parfait compressible
Soit , , , et les variables usuelles qui décrivent l’état d’un fluide en coordonnées eulériennes. Le domaine physique occupé par le fluide est a priori tout entier, mais peut être nul en dehors d’un compact . On choisit l’équation d’état d’un gaz parfait, , où est une constante. Le cas est celui du gaz mono-atomique.Dans la limite , les collisions sont rares et on est tenté d’approcher le mouvement des particules par un mouvement rectiligne uniforme : le champ de vitesse obéit alors...
Solutions faibles pour des problèmes d’interaction fluide-structure
Nous présentons dans cette note une nouvelle façon d’aborder les questions d’existence de solutions faibles pour certains problèmes d’interaction fluide-structure. Dans l’état actuel, cette approche permet de traiter le cas de solides rigides ou très faiblement déformables, immergés dans un fluide visqueux incompressible ou dans un fluide visqueux compressible dont l’évolution est isentropique.
Some elementary inequalities in gas dynamics equation.
Some multiple-part Wiener-Hopf problems in mathematical physics
Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.
Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method
In [18]–[19], P.L. Lions studied (among others) the compactness and regularity of weak solutions to steady compressible Navier-Stokes equations in the isentropic regime with arbitrary large external data, in particular, in bounded domains. Here we investigate the same problem, combining his ideas with the method of decomposition proposed by Padula and myself in [29]. We find the compactness of the incompressible part of the velocity field and we give a new proof of the compactness of the “effective...
Some stability results for reactive Navier-Stokes-Poisson systems
We review the main results concerning the global existence and the stability of solutions for some models of viscous compressible self-gravitating fluids used in classical astrophysics.
Spectral properties of compressible stratified flows.
Spectral-finite element method for compressible fluid flows