[PDF] Top 20 Exponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off

... HOMOGENEOUS BOLTZMANN EQUATION FOR HARD POTENTIALS WITHOUT CUT-OFF ISABELLE TRISTANI ...with the long time behavior of solutions to the ... Voir le document complet

... of the famous difficulty of the Boltzmann equation without cut-off is to well understand coerciv- ity ...[18], the gain induced is seen and understood ... Voir le document complet

... OF THE THESIS 3 0.1.3 Propagation of chaos for the Boltzmann equation with moderately soft potentials From both physical and numerical standpoints, we also considered propagation ... Voir le document complet

... found, the interesting question is the relaxation rate towards the Fermi-Dirac density ...of the spectral properties of the linearized LFD operator rendering an explicit spectral gap ... Voir le document complet

... is the generator of a strongly continuous semigroup S Λ (t) that satisfies .... To prove Theorem 1.2, our strategy follows the one initiated by Mouhot in [14] for the homogeneous ... Voir le document complet

... particles. The point of view adopted is a statistical one. The fundamental model is the evolution equation for the density of particles of a sufficiently rarefied gas first ... Voir le document complet

... cut-off is studied in various aspects (different type of collision kernels, Cauchy theory in exponentially weighted spaces, regularity of the solutions ...underline the fact that Theorem 1.1 ... Voir le document complet

... want to go one step beyond and provide exponential inequality for a special type of U- processes, of chaos type, under sampling without ...where the only property that matters after ... Voir le document complet

... Corresponding heat transfer rate on the surface caused by both the heat con- duction and the recombination process on the catalytic surface is obtained until the [r] ... Voir le document complet

... manifold, the uniform positivity of hγi T (x, ξ) in Σ for some T > 0 implies that the exponential decay ...in the celebrated articles [30], [3] and [4] of Bardos, Lebeau, Rauch and ... Voir le document complet

... THE INFINITE ATLAS PROCESS: CONVERGENCE TO EQUILIBRIUM AMIR DEMBO ? , MILTON JARA † , AND STEFANO OLLA ‡ ...Abstract. The semi-infinite Atlas process is a one-dimensional system of ... Voir le document complet

... requires to check the above two-sided ...leads to explicit rates of convergence in terms of c, f 1 , f 2 and ...that the existence of the ground states are recovered afterwards ... Voir le document complet

... Finite-time convergence from S r to the origin for ν = 0 with increasing µ i ...ONCLUSION The problem of convergence rate acceleration in homogeneous systems by switching ... Voir le document complet

... that for a l , a 0 large enough with a l a 0 < 0 and ( 1.5 ), the contribution of low fre- quencies is indeed exponentially increasing (see Proposition ...on the model case of a straight waveguide ... Voir le document complet

... where the wave vector k is of the form k = 2mπ/N x (m integer) and φ some phase ...in the expression (8) of γ i , i = 1, 2, 3, 4, having in mind the use of the adjoint method to ... Voir le document complet

... Abstract. The semi-infinite Atlas process is a one-dimensional system of Brownian particles, where only the leftmost particle gets a unit drift to the ...that the latter is attractive ... Voir le document complet

... in the numerical discretization of linear anisotropic convection- diffusion equations on almost general ...0. The boundary Γ = ∂ Ω is divided into two parts Γ = Γ D ∪ Γ N with m(Γ D ) > ...0. The ... Voir le document complet

... when the number of points needed to perform a simulation grows in the case the Boltz- mann operator is used, the above implementation strategies on shared memory systems are not ... Voir le document complet

... of the Scharfetter–Gummel scheme using a proper average of the nonlinear diffusion [3] which guarantees thermodynamic ...applied to a very general class of statistical distribution functions arising ... Voir le document complet

... 2019 BOLTZMANN EQUATION ON THE ...studies convergence to equilibrium for the spatially inhomogeneous lin- ear relaxation Boltzmann equation in ... Voir le document complet