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

DOI10.1016/S0764-4442(97)82709-7zbMath0920.35114OpenAlexW2089419787MaRDI QIDQ4229966

Pierre-Louis Lions

Publication date: 26 April 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(97)82709-7

zbMATH Keywords

regularitycompactnesssingular Boltzmann collision kernels

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (30)

Boltzmann to Landau from the gradient flow perspective ⋮ On the Boltzmann equation for long-range interactions ⋮ Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation ⋮ A new regularization mechanism for the Boltzmann equation without cut-off ⋮ Global existence of non-cutoff Boltzmann equation in weighted Sobolev space ⋮ On strong convergence to equilibrium for the Boltzmann equation with soft potentials ⋮ The Boltzmann equation without angular cutoff ⋮ Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff ⋮ Coercivity estimates for integro-differential operators ⋮ From Boltzmann's equation to the incompressible Navier-Stokes-Fourier system with long-range interactions ⋮ The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential ⋮ Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off ⋮ On the Landau approximation in plasma physics. ⋮ Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation Without Angular Cutoff ⋮ The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential ⋮ Global classical solutions of the Boltzmann equation without angular cut-off ⋮ Non-cutoff Boltzmann equation with polynomial decay perturbations ⋮ Global hypoelliptic estimates for fractional order kinetic equation ⋮ Global existence and full regularity of the Boltzmann equation without angular cutoff ⋮ Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production ⋮ About \(L^p\) estimates for the spatially homogeneous Boltzmann equation ⋮ Regularizing effect and local existence for the non-cutoff Boltzmann equation ⋮ The weak Harnack inequality for the Boltzmann equation without cut-off ⋮ Entropy Dissipation Estimates for the Landau Equation: General Cross Sections ⋮ Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators ⋮ Around 3D Boltzmann non linear operator without angular cutoff, a new formulation ⋮ Regularity of Non-cutoff Boltzmann Equation with Hard Potential ⋮ On a quantum Boltzmann equation for a gas of photons. ⋮ The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off ⋮ Entropy dissipation estimates for the Landau equation in the Coulomb case and applications

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