Non-cutoff Boltzmann equation with polynomial decay perturbations

DOI10.4171/rmi/1206zbMath1459.35305arXiv1812.05299OpenAlexW3081393076MaRDI QIDQ1998714

Ricardo J. Alonso, Tong Yang, Yoshinori Morimoto, Weiran Sun

Publication date: 7 March 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05299

zbMATH Keywords

coercivityspectral gapcommutator estimatesregularizing effectmoment propagation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boltzmann equations (35Q20)

Related Items (15)

Cutoff Boltzmann equation with polynomial perturbation near Maxwellian ⋮ Local Well-Posedness for the Boltzmann Equation with Very Soft Potential and Polynomially Decaying Initial Data ⋮ Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off ⋮ De Giorgi argument for weighted \(L^2\cap L^{\infty}\) solutions to the non-cutoff Boltzmann equation ⋮ Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials ⋮ Noncutoff Boltzmann equation with soft potentials in the whole space ⋮ Spectral gap formation to kinetic equations with soft potentials in bounded domain ⋮ The Vlasov–Poisson–Boltzmann/Landau System with Polynomial Perturbation Near Maxwellian ⋮ Regularity estimates and open problems in kinetic equations ⋮ Solutions to the non-cutoff Boltzmann equation uniformly near a Maxwellian ⋮ Propagation of Moments and Sharp Convergence Rate for Inhomogeneous Noncutoff Boltzmann Equation with Soft Potentials ⋮ Unnamed Item ⋮ A spectral study of the linearized Boltzmann operator in \(L^2\)-spaces with polynomial and Gaussian weights ⋮ Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation ⋮ The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off

Cites Work

• Unnamed Item
• Unnamed Item
• Global solutions in the critical Besov space for the non-cutoff Boltzmann equation
• Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential
• Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoff
• Global existence and full regularity of the Boltzmann equation without angular cutoff
• Energy method for Boltzmann equation
• The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential
• 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
• Intermolecular forces of infinite range and the Boltzmann equation
• Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials
• Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff
• The mathematical theory of dilute gases
• Hypoelliptic regularity in kinetic equations.
• Boltzmann equation: micro-macro decompositions and positivity of shock profiles
• Entropy dissipation and long-range interactions
• About \(L^p\) estimates for the spatially homogeneous Boltzmann equation
• Perturbation theory for linear operators.
• About the regularizing properties of the non-cut-off Kac equation
• Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
• Local existence with mild regularity for the Boltzmann equation
• THE BOLTZMANN EQUATION WITHOUT ANGULAR CUTOFF IN THE WHOLE SPACE: II, GLOBAL EXISTENCE FOR HARD POTENTIAL
• Global classical solutions of the Boltzmann equation without angular cut-off
• Regularization for the non-cutoff 2D radially symmetric boltzmann equation with a velocity dependent cross section
• Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
• Boltzmann collision operator with inverse‐power intermolecular potentials, I
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• 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
• On the Boltzmann equation for long-range interactions
• The Boltzmann equation in the whole space
• Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus

This page was built for publication: Non-cutoff Boltzmann equation with polynomial decay perturbations