[PDF] Top 20 Time-Dependent Rescalings and Dispersion for the Boltzmann Equation

... For the notions of dispersion (see [MP] for an application to the Boltzmann equation), we will refer to [IR], [P1], [P2], [CDP] and ...[DR]. The ... Voir le document complet

... In the cases considered previously by Mahieu et ...using the Galerkin finite element method for both the flow and sensitivity ...problems. For simplicity, robustness and ... Voir le document complet

... in time by Euler’s implicit scheme. We use this scheme for its simplic- ity, however we have decided to treat the nonlinear term in an implicit way; we combine this scheme with a spectral method in ... Voir le document complet

... II. DISPERSION AND SCATTERING IN 2D MATHIEU LEWIN AND JULIEN SABIN ...consider the nonlinear Hartree equation for an inter- acting gas containing infinitely many particles ... Voir le document complet

... is the number of electrons, holds in TDRSH and in fact more generally in TDDFT with any hybrid approximation including non- local HF ...that the TRK sum rule holds in TDHF [61–63, 98, 99], and ... Voir le document complet

... Access and use of this website and the material on it are subject to the Terms and Conditions set forth at A Continuous second order sensitivity equation method for ... Voir le document complet

... ). The costs related to the four main routines needed for the evaluation of the operator namely: Fourier transform, coefficients computation, inverse Fourier transform and sum of ... Voir le document complet

... beyond the simple estimates and considerations based on con- servation laws that we have performed in the previous sections, we now solve numerically the Boltzmann equation, in ... Voir le document complet

... difficulty. The robustness one (which some time extends to spatially non homogeneous context) is to argue by ...See the pioneer work by Arkeryd [2] for the case of elastic ...on ... Voir le document complet

... positive for time large enough; ...of the truncated Boltzmann equation ( ...in time; In order to prove this result, we follow the perturbative framework developed in [ 18 ... Voir le document complet

... ] the kinetic Fokker-Planck case is studied and here it is shown that the GCC is not equivalent to exponential convergence to ...Doeblin’s the- orem from Markov process theory (see [ 20 ] ... Voir le document complet

... of the set of C ∞ functions over Q, (78) holds. The conclusion ...of the alternative formulation that is useful when for- mulating shooting algorithms; see Bonnans and Hermant [15] ... Voir le document complet

... emphasizing the strengths and weaknesses of the new MC scheme we suggested in the previous ...to the simple problem of section 2 which motivated the introduction of the ... Voir le document complet

... Gressman and Strain [18] in parallel with Alexan- dre et ...of the famous difficulty of the Boltzmann equation without cut-off is to well understand coerciv- ity ...[6] and [18], ... Voir le document complet

... INHOMOGENEOUS BOLTZMANN EQUATION FOR HARD POTENTIALS WITHOUT CUT-OFF FR ´ ED ´ ERIC H ´ ERAU, DANIELA TONON, AND ISABELLE TRISTANI ...investigate the problems of Cauchy theory ... Voir le document complet

... Complexity and computer time Before addressing the simulation results for the ensemble-averaged physical observables, we briefly analyse the computational cost of the ... Voir le document complet

... 1.1. The model. In the present paper, we investigate the asymptotic behavior of so- lutions to the spatially homogeneous Boltzmann equation without angular cut-off, that is, ... Voir le document complet

... methods for the Boltzmann equation are nowadays rather popular in the deterministic numerical solution of the Boltzmann equation (see [4] for an introduction ... Voir le document complet

... method for solving the Boltzmann model of rarefied gas ...dynamics. The method works by reformulating the original problem through a micro-macro decomposition and successively in ... Voir le document complet

... BGK equation, Euler equations, entropy minimization principle, kinetic- hydrodynamic coupling, numerical ...dynamics, for strongly non-equilibrium situations, fluid models are inappro- priate and one ... Voir le document complet