Radiation conditions and scattering theory for -particle hamiltonians (main ideas of the approach)
Radiation conditions and scattering theory for -particle quantum systems
Radiative Heating of a Glass Plate
This paper aims to prove existence and uniqueness of a solution to the coupling of a nonlinear heat equation with nonlinear boundary conditions with the exact radiative transfer equation, assuming the absorption coefficient to be piecewise constant and null for small values of the wavelength as in the paper of N. Siedow, T. Grosan, D. Lochegnies, E. Romero, “Application of a New Method for Radiative Heat Tranfer to Flat Glass Tempering”, J. Am. Ceram. Soc., 88(8):2181-2187 (2005). An important...
Random data Cauchy problem for supercritical Schrödinger equations
Random modulation of solitons for the stochastic Korteweg–de Vries equation
Reaction-diffusion problems in cylinders with no invariance by translation. Part I : small perturbations
Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains.
Reality conditions of loop solitons genus : hyperelliptic am functions.
Rearrangement of lattice particles.
Recent progress on the blow-up problem of Zakharov equations
Recent Results on the Cauchy Problem for Focusing and Defocusing Gross-Pitaevskii Hierarchies
In this paper, we review some of our recent results in the study of the dynamics of interacting Bose gases in the Gross-Pitaevskii (GP) limit. Our investigations focus on the well-posedness of the associated Cauchy problem for the infinite particle system described by the GP hierarchy.
Rectangular potentials in a semi-harmonic background: spectrum, resonances and dwell time.
Recursion in curve geometry.
Recursions of symmetry orbits and reduction without reduction.
Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates
Reduced order controllers for Burgers' equation with a nonlinear observer
A method for reducing controllers for systems described by partial differential equations (PDEs) is applied to Burgers' equation with periodic boundary conditions. This approach differs from the typical approach of reducing the model and then designing the controller, and has developed over the past several years into its current form. In earlier work it was shown that functional gains for the feedback control law served well as a dataset for reduced order basis generation via the proper orthogonal...
Reduced resistive MHD in Tokamaks with general density
The aim of this paper is to derive a general model for reduced viscous and resistive Magnetohydrodynamics (MHD) and to study its mathematical structure. The model is established for arbitrary density profiles in the poloidal section of the toroidal geometry of Tokamaks. The existence of global weak solutions, on the one hand, and the stability of the fundamental mode around initial data, on the other hand, are investigated.
Reduced resistive MHD in Tokamaks with general density
The aim of this paper is to derive a general model for reduced viscous and resistive Magnetohydrodynamics (MHD) and to study its mathematical structure. The model is established for arbitrary density profiles in the poloidal section of the toroidal geometry of Tokamaks. The existence of global weak solutions, on the one hand, and the stability of the fundamental mode around initial data, on the other hand, are investigated.
Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type.
Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon