Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation

DOI10.1016/j.nonrwa.2022.103607zbMath1494.76075OpenAlexW4223920388MaRDI QIDQ2147498

Lvqiao Liu

Publication date: 20 June 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103607

zbMATH Keywords

Gevrey regularityweighted estimatenon-cutoff Boltzmann equationMaxwellian molecule

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff
• Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff
• The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential
• Smoothing estimates for Boltzmann equation with full-range interactions: spatially homogeneous case
• The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions
• Regularizing effect and local existence for the non-cutoff Boltzmann equation
• Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
• Propagation of Gevrey regularity for solutions of Landau equations
• Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff
• Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations. II. Non cutoff case and non Maxwellian molecules
• Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
• Ultra-analytic effect of Cauchy problem for a class of kinetic equations
• Global \(L^ p\)-properties for the spatially homogeneous Boltzmann equation
• On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
• Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas
• Entropy dissipation and long-range interactions
• Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
• About \(L^p\) estimates for the spatially homogeneous Boltzmann equation
• About the regularizing properties of the non-cut-off Kac equation
• Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation
• The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
• Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
• Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations
• Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
• Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff
• Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
• Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
• Régularité et compacité pour des noyaux de collision de Boltzmann sans troncature angulaire
• Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules
• Regularity of Non-cutoff Boltzmann Equation with Hard Potential
• LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES
• Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators

This page was built for publication: Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation