On the Boltzmann equation for long-range interactions (Q4790277)

scientific article; zbMATH DE number 1860550

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English	On the Boltzmann equation for long-range interactions	scientific article; zbMATH DE number 1860550

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instance of

scholarly article

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title

On the Boltzmann equation for long-range interactions (English)

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zbMATH Open document ID

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Radjesvarane Alexandre

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Cédric Villani

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published in

Communications on Pure and Applied Mathematics

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publication date

28 January 2003

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Mathematics Subject Classification ID

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/cpa.10012

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OpenAlex ID

W2023023275

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cites work

Sur l'opérateur de Boltzmann non linéaire 3D sans troncature angulaire

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Une définition des solutions renormalisées pour l'équation de Boltzmann sans troncature angulaire

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Around 3D Boltzmann non linear operator without angular cutoff, a new formulation

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Entropy dissipation and long-range interactions

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Intermolecular forces of infinite range and the Boltzmann equation

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Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation

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The acoustic limit for the Boltzmann equation

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Renormalised solutions of nonlinear parabolic problems with <i>L</i><sup>1</sup> data: existence and uniqueness

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Existence et unicité de la solution renormalisée d'un problème parabolique non linéaire assez général

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Q5585271

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THE FOKKER-PLANCK ASYMPTOTICS OF THE BOLTZMANN COLLISION OPERATOR IN THE COULOMB CASE

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On asymptotics of the Boltzmann equation when the collisions become grazing

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About the regularizing properties of the non-cut-off Kac equation

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Regularization for the non-cutoff 2D radially symmetric boltzmann equation with a velocity dependent cross section

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Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules

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On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

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On the Fokker-Planck-Boltzmann equation

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On the Cauchy problem for Boltzmann equations: Global existence and weak stability

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Ordinary differential equations, transport theory and Sobolev spaces

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Global solutions of Boltzmann's equation and the entropy inequality

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\(L^ p\) regularity of velocity averages

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Regularity of the moments of the solution of a transport equation

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On Boltzmann equations and Fokker-Planck asymptotics: Influence of grazing collisions

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Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II

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Compactness in Boltzmann's equation via Fourier integral operators and applications. III

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On Boltzmann and Landau equations

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Régularité et compacité pour des noyaux de collision de Boltzmann sans troncature angulaire

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From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II

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Boltzmann collision operator with inverse‐power intermolecular potentials, I

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On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations

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Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation without cut-off

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Regularity in the boltzmann equation and the radon transform

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The geometry of binary collisions and generalized Radon transforms

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Mathematics(1 entry)

mardi Publication:4790277