Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff
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Publication:601091
DOI10.1007/s11868-010-0008-zzbMath1207.35015OpenAlexW2143978869WikidataQ115377604 ScholiaQ115377604MaRDI QIDQ601091
Yoshinori Morimoto, Seiji Ukai
Publication date: 3 November 2010
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-010-0008-z
Smoothness and regularity of solutions to PDEs (35B65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Singularity in context of PDEs (35A21) Boltzmann equations (35Q20)
Related Items (28)
Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation ⋮ The Gelfand-Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum ⋮ Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation ⋮ Shubin regularity for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential ⋮ A new regularization mechanism for the Boltzmann equation without cut-off ⋮ Regularity for the Boltzmann equation conditional to macroscopic bounds ⋮ The Boltzmann equation without angular cutoff ⋮ Smoothing effect and Cauchy problem for radially symmetric homogeneous Boltzmann equation with Debye-Yukawa potential of Shubin class initial datum ⋮ Gevrey regularity of solutions to the non-cutoff homogeneous Boltzmann equation for soft potential with strong singularity ⋮ Local Gevrey regularity for linearized homogeneous Boltzmann equation ⋮ Regularity estimates and open problems in kinetic equations ⋮ The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential ⋮ Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff ⋮ Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules ⋮ Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off ⋮ Gevrey regularity for the noncutoff nonlinear homogeneous Boltzmann equation with strong singularity ⋮ 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 ⋮ Gevrey regularity for solutions of the non-cutoff Boltzmann equation: the spatially inhomogeneous case ⋮ Global existence and full regularity of the Boltzmann equation without angular cutoff ⋮ The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand-Shilov smoothing effect ⋮ Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules ⋮ The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions ⋮ Corrigendum to: ``Gevrey regularity for solutions of the non-cutoff Boltzmann equation: spatially inhomogeneous ⋮ Sharp regularity and Cauchy problem of the spatially homogeneous Boltzmann equation with Debye-Yukawa potential ⋮ Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation ⋮ Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum ⋮ The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
Cites Work
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- Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
- LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES
- Asymptotic Theory of the Boltzmann Equation
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