A covariant and extended model for relativistic magnetofluiddynamics
A non-local theory of superfluidity
We will formulate a macroscopic theory of Superfluidity, using a particular constitutive equation of differential form which we will demonstrate to be equivalent to a non-local relation between the stress and the density.
A numerical scheme for the quantum Boltzmann equation with stiff collision terms
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision terms. A class of asymptotic-preserving schemes was introduced in [F. Filbet and S. Jin,J. Comput. Phys. 229 (2010) 7625–7648] to handle this kind of problems. The idea is to penalize the stiff collision term by a BGK type operator. This method, however, encounters its own difficulty when applied to the quantum Boltzmann equation. To define the quantum Maxwellian...
A numerical scheme for the quantum Boltzmann equation with stiff collision terms⋆
Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision terms. A class of asymptotic-preserving schemes was introduced in [F. Filbet and S. Jin,J. Comput. Phys. 229 (2010) 7625–7648] to handle this kind of problems. The idea is to penalize the stiff collision term by a BGK type operator. This method, however, encounters its own difficulty when applied to the quantum Boltzmann...
An action principle in general relativistic magnetohydrodynamics
Chocs et ondes rotatoires de la magnétohydrodynamique relativiste
Convergent semidiscretization of a nonlinear fourth order parabolic system
A semidiscretization in time of a fourth order nonlinear parabolic system in several space dimensions arising in quantum semiconductor modelling is studied. The system is numerically treated by introducing an additional nonlinear potential. Exploiting the stability of the discretization, convergence is shown in the multi-dimensional case. Under some assumptions on the regularity of the solution, the rate of convergence proves to be optimal.
Convergent semidiscretization of a nonlinear fourth order parabolic system
A semidiscretization in time of a fourth order nonlinear parabolic system in several space dimensions arising in quantum semiconductor modelling is studied. The system is numerically treated by introducing an additional nonlinear potential. Exploiting the stability of the discretization, convergence is shown in the multi-dimensional case. Under some assumptions on the regularity of the solution, the rate of convergence proves to be optimal.
Definite magnetofluid scheme in general relativity
Definite material scheme in relativistic magnetohydrodynamics
Discontinuités des rayons et stricte exceptionnalité en magnétohydrodynamique relativiste
Discontinuities in an arbitrarily moving gas in special relativity
Einstein-Euler equations for matter spacetimes with Gowdy symmetry
We investigate the initial value problem for the Einstein-Euler equations of general relativity under the assumption of Gowdy symmetry on . Given an arbitrary initial data set, we establish the existence of a globally hyperbolic future development and we provide a global foliation of this spacetime in terms of a geometrically defined time-function coinciding with the area of the orbits of the symmetry group. This allows us to construct matter spacetimes with weak regularity which admit, both, impulsive...
Equilibrium fluctuations in relativistic thermoelectric fluids
Evolution of shock waves in relativistic continuum mechanics
Exact solutions of the equations of relativistic hydrodynamics representing potential flows.
Existence and uniqueness theorems for viscous fluids capable of heat conduction in a relativistic theory of non stationary thermodynamics
Existence et unicité des solutions du problème de Cauchy pour un fluide relativiste conducteur de la chaleur
Fronts de combustion en magnétohydrodynamique relativiste
Groupes conformes en relativité générale