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.
Sur les fluides relativistes à spin
Sur l'étude du tenseur de Weyl dans un espace-temps contenant un fluide parfait