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18 résultats avec le mot-clé: 'regularity theory spatially homogeneous boltzmann equation cut'

Regularity theory for the spatially homogeneous Boltzmann equation with cut-off

We develop the regularity theory of the spatially homogeneous Boltzmann equa- tion with cut-off and hard potentials (for instance, hard spheres), by (i) revisit- ing the L p -theory

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About ${L}^{p}$ estimates for the spatially homogeneous Boltzmann equation

Villani, Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation without cut-off, Rev. Wennberg, On moments and uniqueness for solutions to

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RadjesvaraneAlexandre ,YoshinoreMorimoto ,SeijiUkai ,Chao-JiangXu ,TongYang RegularityofsolutionsfortheBoltzmannequationwithoutangularcutoff

Yang, Regularity of entropy solutions for spatially homogeneous Boltzmann equation without angular cutoff, Kinetic Related Models 1 (2008) 453–489.

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Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation

The rest of the paper is arranged as follows: In Section 2, we introduce the spectral ana- lysis of the linear and nonlinear Boltzmann operators, and transform the nonlinear

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Quantitative uniform in time chaos propagation for Boltzmann collision processes

This yields the first chaos propagation result for the spatially homogeneous Boltzmann equation for true (without cut-off) Maxwell molecules whose “Master equation” shares

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On the spatially homogeneous Boltzmann equation

A second part of the paper is devoted to the time discretization of the Boltzmann equation, the main results being estimates of the rate of convergence for the

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Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff

Furthermore, we apply the similar analytic technique for the Sobolev space regularity to the nonlinear equation, and prove the smoothing property of solutions for the

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Boltzmann's Kernel and the Spatially Homogeneous Boltzmann Equation

The following table summarizes what is known on the existence of lower bounds for the solution of (1): The sign [ ] means that the result is known to hold only for a mollied version

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Exponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off

Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials.. Spectral gap and coercivity estimates for linearized Boltzmann

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SHARP REGULARITY AND CAUCHY PROBLEM OF THE SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION WITH DEBYE-YUKAWA POTENTIAL

On the other hand, Lekrine and Xu proved in [11] the property of Gevrey smoothing effect for the weak solutions to the Cauchy problem associated to the radially symmetric

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Homogeneous Boltzmann Equation

For the case with finite energy, the above stability estimates give a better convergence description on the solution obtained in the previous literatures, which extends the

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On measure solutions of the Boltzmann equation, Part II: Rate of convergence to equilibrium

Keywords: Boltzmann equation; spatially homogeneous; hard potentials; measure solutions; equilibrium; exponential rate of convergence; eternal solution; global-in-time

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Le Fonds de Gestion de l'Espace Rural : vers une nouvelle politique de l'espace rural?

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

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GEVREY REGULARITY FOR SOLUTION OF THE SPATIALLY HOMOGENEOUS LANDAU EQUATION

In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules case.. Here

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Espace et rapports sociaux de domination : chantiers de recherche

Laboratoire Analyse Comparée des Pouvoirs (EA 3350)• Université Paris-Est Marne-la-Vallée • http://acp.univ-mlv.fr/?. Jeudi

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1 Collision kernels and entropy production

Villani, Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation, Preprint. [Tr,

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A spatially homogeneous Boltzmann equation for elastic, inelastic, and coalescing collisions

Existence, uniqueness and qualitative behavior of the solution to a spatially homogeneous Boltzmann equation for particles undergoing elastic, inelastic and coalescing collisions

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Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation

SOBOLEV REGULARIZING EFFECT FOR KAC’S EQUATION In this section, we prove the regularity in weighted Sobolev spaces of the weak solutions for the Cauchy problem of the Kac’s

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