On the space-time permeated by a viscous, compressible, thermally conducting, self-gravitating fluid with infinite electrical conductivity and constant magnetic permeability
Ondes de détonation en magnétohydrodynamique relativiste
Ondes et discontinuités en magnéto-hydrodynamique anisotrope relativiste
Probability in quantum mechanics.
Quantum Euler-Poisson systems: Existence of stationary states
A one-dimensional quantum Euler-Poisson system for semiconductors for the electron density and the electrostatic potential in bounded intervals is considered. The existence and uniqueness of strong solutions with positive electron density is shown for quite general (possibly non-convex or non-monotone) pressure-density functions under a “subsonic” condition, i.e. assuming sufficiently small current densities. The proof is based on a reformulation of the dispersive third-order equation for the electron...
Quelques univers magnéto-hydrodynamiques du type de Gödel
Relativistic magnetofluids and space-like conformal mapping
Relativistic Relative Deformation And Vorticity Applied To Magnetohydrodynamics
Relativistic relative deformation and vorticity applied to magnetohydrodynamic.
Relaxation-time limits of global solutions in full quantum hydrodynamic model for semiconductors
This paper is concerned with the global well-posedness and relaxation-time limits for the solutions in the full quantum hydrodynamic model, which can be used to analyze the thermal and quantum influences on the transport of carriers in semiconductor devices. For the Cauchy problem in , we prove the global existence, uniqueness and exponential decay estimate of smooth solutions, when the initial data are small perturbations of an equilibrium state. Moreover, we show that the solutions converge into...
Semiclassical limit and well-posedness of nonlinear Schrödinger-Poisson systems.
Semiclassical Limit of the cubic nonlinear Schrödinger Equation concerning a superfluid passing an obstacle
In this paper, we study the semiclassical limit of the cubic nonlinear Schrödinger equation with the Neumann boundary condition in an exterior domain. We prove that before the formation of singularities in the limit system, the quantum density and the quantum momentum converge to the unique solution of the compressible Euler equation with the slip boundary condition as the scaling parameter approaches
Shock waves and general relativity
Shock-wave explosions in general relativity
Simplified models of quantum fluids in nuclear physics
We revisit a hydrodynamical model, derived by Wong from Time-Dependent-Hartree-Fock approximation, to obtain a simplified version of nuclear matter. We obtain well-posed problems of Navier-Stokes-Poisson-Yukawa type, with some unusual features due to quantum aspects, for which one can prove local existence. In the case of a one-dimensional nuclear slab, we can prove a result of global existence, by using a formal analogy with some model of nonlinear "viscoelastic" rods.
Some exact representations for the mass current in He-A and their zero temperature implications
Some remarks on conservative symmetric-hyperbolic systems governing relativistic theories
Stability of shock waves in relativistic radiation hydrodynamics
Study of nonlinear wave processes in plasmas using the formalism of a special Lorentz transformation for a space-independent frame.
Sulla propagazione delle onde nella termoidrodinamica relativista.