Conservative forms of Boltzmann's collision operator : Landau revisited
Conservative forms of Boltzmann's collision operator: Landau revisited
We show that Boltzmann's collision operator can be written explicitly in divergence and double divergence forms. These conservative formulations may be of interest for both theoretical and numerical purposes. We give an application to the asymptotics of grazing collisions.
Construction of the Bethe state for the elliptic quantum group.
Continuous and discrete (classical) Heisenberg spin chain revised.
Continuum limits of particles interacting via diffusion.
Continuum model of the two-component Becker-Döring equations.
Controllability of three-dimensional Navier–Stokes equations and applications
We formulate two results on controllability properties of the 3D Navier–Stokes (NS) system. They concern the approximate controllability and exact controllability in finite-dimensional projections of the problem in question. As a consequence, we obtain the existence of a strong solution of the Cauchy problem for the 3D NS system with an arbitrary initial function and a large class of right-hand sides. We also discuss some qualitative properties of admissible weak solutions for randomly forced NS...
Controlling Griffiths' singularities
Convergence of a continuous BGK model for initial boundary-value problems for conservation laws.
Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in Rd
Convergence of coalescing nonsimple random walks to the Brownian web.
Convergence of critical oriented percolation to super-brownian motion above dimensions
Convergence of gradient-based algorithms for the Hartree-Fock equations
The numerical solution of the Hartree-Fock equations is a central problem in quantum chemistry for which numerous algorithms exist. Attempts to justify these algorithms mathematically have been made, notably in [E. Cancès and C. Le Bris, Math. Mod. Numer. Anal. 34 (2000) 749–774], but, to our knowledge, no complete convergence proof has been published, except for the large-Z result of [M. Griesemer and F. Hantsch, Arch. Rational Mech. Anal. (2011) 170]. In this paper, we prove the convergence of...
Convergence of gradient-based algorithms for the Hartree-Fock equations
The numerical solution of the Hartree-Fock equations is a central problem in quantum chemistry for which numerous algorithms exist. Attempts to justify these algorithms mathematically have been made, notably in [E. Cancès and C. Le Bris, Math. Mod. Numer. Anal. 34 (2000) 749–774], but, to our knowledge, no complete convergence proof has been published, except for the large-Z result of [M. Griesemer and F. Hantsch, Arch. Rational Mech. Anal. (2011) 170]. In this paper, we prove the convergence of...
Convergence of gradient-based algorithms for the Hartree-Fock equations∗
The numerical solution of the Hartree-Fock equations is a central problem in quantum chemistry for which numerous algorithms exist. Attempts to justify these algorithms mathematically have been made, notably in [E. Cancès and C. Le Bris, Math. Mod. Numer. Anal. 34 (2000) 749–774], but, to our knowledge, no complete convergence proof has been published, except for the large-Z result of [M. Griesemer and F. Hantsch, Arch. Rational Mech. Anal. (2011) ...
Convergence of lattice trees to super-Brownian motion above the critical dimension.
Convergence of minimax structures and continuation of critical points for singularly perturbed systems
In the recent literature, the phenomenon of phase separation for binary mixtures of Bose–Einstein condensates can be understood, from a mathematical point of view, as governed by the asymptotic limit of the stationary Gross–Pitaevskii system , as the interspecies scattering length goes to . For this system we consider the associated energy functionals , with -mass constraints, which limit (as ) is strongly irregular. For such functionals, we construct multiple critical points via a common...
Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field
In this paper, we prove the convergence of the current defined from the Schrödinger-Poisson system with the presence of a strong magnetic field toward a dissipative solution of the Euler equations.
Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field
In this paper, we prove the convergence of the current defined from the Schrödinger-Poisson system with the presence of a strong magnetic field toward a dissipative solution of the Euler equations.
Convergence of Two-Dimensional Nyström Discrete-Ordinates in Solving the Linear Transport Equation.