Relation de Poisson pour l'équation des ondes dans un ouvert non borné. Application au scattering
Relation de Poisson pour l'équation des ondes dans un ouvert non borné
Relation of the spectra of symplectic Rarita-Schwinger and Dirac operators on flat symplectic manifolds
Consider a flat symplectic manifold , , admitting a metaplectic structure. We prove that the symplectic twistor operator maps the eigenvectors of the symplectic Dirac operator, that are not symplectic Killing spinors, to the eigenvectors of the symplectic Rarita-Schwinger operator. If is an eigenvalue of the symplectic Dirac operator such that is not a symplectic Killing number, then is an eigenvalue of the symplectic Rarita-Schwinger operator.
Relations between the boundary values and periods for generalized analytic functions in
Relative determinants of elliptic operators and scattering theory
Relative rearrangement on a finite measure space. Application to weighted spaces and to P.D.E.
Relative rearrangement on a finite measure space. Application to the regularity of weighted monotone rearrangement (Part I)
Relativistic hamiltonian dynamics of singularities of the Liouville equation
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
This paper is concerned with the numerical approximation of the solutions of a two-fluid two-pressure model used in the modelling of two-phase flows. We present a relaxation strategy for easily dealing with both the nonlinearities associated with the pressure laws and the nonconservative terms that are inherently present in the set of convective equations and that couple the two phases. In particular, the proposed approximate Riemann solver is given by explicit formulas, preserves the natural...
Relaxation approximations and bounded variation estimates for some partial differential equations.
Relaxation for Dirichlet problems involving a Dirichlet form.
Relaxation lengths and nonnegative solutions in neutron transport
Relaxation of optimal control problems in Lp-SPACES
We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an Lp-space (p < ∞). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.
Relaxation of optimal control problems in -spaces
We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an -space (). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.
Relaxation of the incompressible porous media equation
It was shown recently by Córdoba, Faraco and Gancedo in [1] that the 2D porous media equation admits weak solutions with compact support in time. The proof, based on the convex integration framework developed for the incompressible Euler equations in [4], uses ideas from the theory of laminates, in particular configurations. In this note we calculate the explicit relaxation of IPM, thus avoiding configurations. We then use this to construct weak solutions to the unstable interface problem (the...
Relaxation oscillations in systems with different time scales
Relaxation schemes for the multicomponent Euler system
We show that it is possible to construct a class of entropic schemes for the multicomponent Euler system describing a gas or fluid homogeneous mixture at thermodynamic equilibrium by applying a relaxation technique. A first order Chapman–Enskog expansion shows that the relaxed system formally converges when the relaxation frequencies go to the infinity toward a multicomponent Navier–Stokes system with the classical Fick and Newton laws, with a thermal diffusion which can be assimilated to a Soret...
Relaxation schemes for the multicomponent Euler system
We show that it is possible to construct a class of entropic schemes for the multicomponent Euler system describing a gas or fluid homogeneous mixture at thermodynamic equilibrium by applying a relaxation technique. A first order Chapman–Enskog expansion shows that the relaxed system formally converges when the relaxation frequencies go to the infinity toward a multicomponent Navier–Stokes system with the classical Fick and Newton laws, with a thermal diffusion which can be assimilated to a Soret...
Relaxations semi-linéaire et cinétique des systèmes de lois de conservation
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...