[PDF] Top 20 Contribution to the study of the homogeneous Boltzmann equation

... representations of partial differential equations are powerful tools to study the an- alytic properties of the equation (well-posedness, ...us to use a lot ... Voir le document complet

... converges to a solution f (t) of the truncated Boltzmann equation ( ...order to prove this result, we follow the perturbative framework developed in [ 18 ] and summarized ... Voir le document complet

... estimates to control the fluid part by the mi- croscopic part in Sobolev spaces H s ...main contribution to avoid involving high regularity is based on an adaptation of ... Voir le document complet

... with the homogeneous Dirichlet boundary condition on the zero ...level. The preservation of the zero level set for ...[25]. To justify the convergence to d ... Voir le document complet

... strategies to overcome this difficulty. The robustness one (which some time extends to spatially non homogeneous context) is to argue by ...See the pioneer work by Arkeryd [2] ... Voir le document complet

... thus the Central Limit Theorem does not apply directly, see [10] for ...method The APMC and the CAPMC methods described in the previous Section permit to overcome the stability ... Voir le document complet

... NTRODUCTION The dynamics of rapid granular flows is commonly modelled by a suitable modification of the Boltzmann equation for inelastic hard-spheres interacting through binary ... Voir le document complet

... So, the key point will be to separate the contribution of the long-range interaction from the one of the “moderate-range” interaction by introducing a ... Voir le document complet

... known to exist. The problem of existence of solutions was first studied by Arkeryd in [2] where existence of solutions is proven for not too soft potentials, that is γ > −1 (Goudon ... Voir le document complet

... concerning the type of assembly considered is by Shi and Cheng [11] ...and the conditions of continuity of stresses at the interfaces using an equation of ... Voir le document complet

... stirring the ester slowly dissolved with evolution of heat. The solution was first cooled in running water and when the dissolu­ tion w a 3 complete, a freezing bath was ...used. The ... Voir le document complet

... one of several versions: author’s original, accepted manuscript or the publisher’s ...For the publisher’s version, please access the DOI link ... Voir le document complet

... set to a non constant value (it may depend on time and space): it just has to lie in the interval [− λ RT max −RT , 1], so that it satisfies the assumptions of proposition ...2.3. ... Voir le document complet

... [4] Kuettner, Hilgenfeld, Weiss (2002) Arch Biochem Biophys, 402, 192–200 [5] Lineweaver, Burk (1934) JACS 56(3): 658–666 [6] Miron, Shin, Feigenblat, Weiner, Mirelman, Wilchek, Rabinkov (2002) Anal Biochem, 307, 76–83 ... Voir le document complet

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

... due to he assumptions we made on Φ therefore the Hessian is positive definite so ˜ φ is ...for the proof. Our goal is to get constructive rates of convergence to equilibrium by ... Voir le document complet

... conclude the second part of the Thesis by considering the case of annealed ...address the case of the Chord Length Sampling (CLS) algo- rithm: within the ... Voir le document complet

... on the need to maintain a tracheostomy in this fragile ...regard, the FEES can help in deciding on possible decannulation, but given the complexities of saliva management in the ... Voir le document complet

... in the resolution of the time-dependent problem of particle transport in a media whose composition is ...uncertain. The most common resolution strategy consists in running, at ... Voir le document complet

... like to finish on few questions related to the ones discussed in this paper which we think may be of importance: first, despite the fast convergence rate of the reduced ... Voir le document complet