[PDF] Top 20 Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
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Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
... cut-off is studied in various aspects (different type of collision kernels, Cauchy theory in exponentially weighted spaces, regularity of the solutions ...the Cauchy theory ... Voir le document complet
69
Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
... of Cauchy theory and exponential stability for the inhomogeneous Boltzmann equation without angular ...of hard potentials type interactions (with a ... Voir le document complet
70
Cauchy problem and exponential stability for the inhomogeneous Landau equation
... [14] for the homogeneous Boltzmann equation for hard potentials with ...latter theory has then been developed and extend in an abstract setting by Gualdani, ... Voir le document complet
44
Ab initio multimode linewidth theory for arbitrary inhomogeneous laser cavities
... laser theory [ 1 – 5 ]. It arises from quantum and thermal fluctuations [ 6 , 7 ] and depends on many parameters of the laser (materials, geometry, losses, pumping, ...linewidth theory. In ... Voir le document complet
23
On the cut-off phenomenon for the transitivity of randomly generated subgroups
... points for the neighbor generating transposi- tions The goal of this section is to prove Theorem 2, namely that there is a flared transition phenomenon for the existence of a fixed point in the neighbor ... Voir le document complet
39
The Cauchy problem for the Benjamin-Ono equation in $L^2$ revisited
... Saut and Tzvetkov [23] proved that the flow map associated to BO, when it exists, fails to be C 2 in any Sobolev space H s (R), s ∈ ...Koch and Tzvetkov [14] who showed that the flow map fails even to be ... Voir le document complet
30
Uniform resolvent estimates for a non-dissipative Helmholtz equation
... assumptions and above all a different ...non-constant and Γ is any bounded submanifold of dimension d ∈ J0, n − 1K in R n ...E for the classical flow were allowed under assumption ( ... Voir le document complet
28
Gradient estimates for a degenerate parabolic equation with gradient absorption and applications
... (1.8) for t > s ≥ 0 and ϑ ∈ C 0 ∞ (R N ...the estimates (1.6), (1.7), and not the existence of a viscosity solution to ...(1.6) and (1.7) directly and instead use an ... Voir le document complet
28
A sharp Cauchy theory for the 2D gravity-capillary waves
... Burq for suggesting me the problem and sharing many fruitful discussions together with Claude Zuily, whom I warmly ...Alazard and Thibault de Poyferré for direct and indirect ... Voir le document complet
48
On the Cauchy problem for Hartree equation in the Wiener algebra
... p for all p ∈ [1, d d−γ ). Conversely, for p ∈ [1, ∞), we can always find γ ∈ (0, d) such that K, defined by ...the Cauchy problem ...that for all f ∈ W and for all t ∈ [0, T ... Voir le document complet
13
A spatially homogeneous Boltzmann equation for elastic, inelastic, and coalescing collisions
... (1.1) for any bounded measure λ ∈ M 1 (0, +∞) and any vector v 0 ∈ R 3 ...coalescing and inelastic collisions) is dominated (under assumption ...[48], and we do it without any structure ... Voir le document complet
46
Cauchy problem for the incompressible Navier-Stokes equation with an external force and Gevrey smoothing effect for the Prandtl equation
... theories and the justification of Prandtl’s boundary layer theory remain as the challenging problems in the mathematical theory of fluid ...solutions for the initial-boundary value problems, ... Voir le document complet
147
Dispersive and Strichartz estimates for the wave equation inside cylindrical convex domains
... R´ esum´ e Estimations de dispersion et de Strichartz dans un domaine cylindrique con- vexe: Dans ce travail, nous allons ´ etablir des estimations de dispersion et des applications aux in´ egalit´ es de Strichartz pour ... Voir le document complet
100
ON THE CAUCHY PROBLEM FOR A DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION WITH NONVANISHING BOUNDARY CONDITIONS
... 2. Local existence in Zhidkov spaces In this section, we give the proof of Theorem 1.1 . 2.1. Preliminaries on Zhidkov spaces. Before presenting our main results, we give some pre- liminaries. We start by recalling the ... Voir le document complet
27
Global solution and smoothing effect for a non-local regularization of an hyperbolic equation
... necessary for the maximum ...general for λ > 2. However, the regularizing effect is still true for λ > 2, a property which is probably not verified if λ < ...clear and needs an ... Voir le document complet
24
Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the Torus
... 2019 BOLTZMANN EQUATION ON THE ...equilibrium for the spatially inhomogeneous lin- ear relaxation Boltzmann equation in Boltzmann entropy and related entropy ... Voir le document complet
18
The periodic Boltzmann semiconductor equation
... archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or ...teaching and research institutions in France or abroad, or from public or private ... Voir le document complet
34
On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation
... methods for the Boltzmann equation are nowadays rather popular in the deterministic numerical solution of the Boltzmann equation (see [4] for an introduction and [2, 7–9, ... Voir le document complet
7
The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions
... result for the associated dissipative (quasilinear) Schrödinger equation (see Theorem ...LLG equation with a jump initial condition, and the stability of the self-similar solutions found in ... Voir le document complet
41
Multiple-Relaxation-Time Lattice Boltzmann scheme for fractional advection–diffusion equation
... solutions and random walk approximations valid when its parameters satisfy incompatible ...hold for p p p = 0 0 0 or 1 1 1 supplemented by specific space dependent ...walks and exact solutions ... Voir le document complet
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