18 résultats avec le mot-clé: 'regularity theory spatially homogeneous boltzmann equation cut'
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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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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Yang, Regularity of entropy solutions for spatially homogeneous Boltzmann equation without angular cutoff, Kinetic Related Models 1 (2008) 453–489.
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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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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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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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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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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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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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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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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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Keywords: Boltzmann equation; spatially homogeneous; hard potentials; measure solutions; equilibrium; exponential rate of convergence; eternal solution; global-in-time
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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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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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Laboratoire Analyse Comparée des Pouvoirs (EA 3350)• Université Paris-Est Marne-la-Vallée • http://acp.univ-mlv.fr/?. Jeudi
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Villani, Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation, Preprint. [Tr,
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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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