Noncutoff Boltzmann equation with soft potentials in the whole space

DOI10.2140/paa.2024.6.253arXiv2212.04315OpenAlexW4313677117MaRDI QIDQ6123308

Kleber Carrapatoso, Pierre Gervais

Publication date: 4 March 2024

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.04315

zbMATH Keywords

Boltzmann equationlarge-time behaviornoncutoff kernelssoft-potentials

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cauchy problem and exponential stability for the inhomogeneous Landau 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
• 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
• On the Cauchy problem of the Boltzmann equation with a soft potential
• Rate of convergence to equilibrium for the spatially homogeneous Boltzmann equation with hard potentials
• On the Cauchy problem for the Boltzmann equation in the whole space: Global existence and uniform stability in \(L_{\xi}^{2}(H_{x}^{N})\)
• The Boltzmann equation with a soft potential. II: Nonlinear, spatially- periodic
• Classical solutions to the Boltzmann equation for molecules with an angular cutoff
• Entropy dissipation and long-range interactions
• The first and second fluid approximation to the linearized Boltzmann equation
• Optimal time decay of the non cut-off Boltzmann equation in the whole space
• Non-cutoff Boltzmann equation with polynomial decay perturbations
• Global existence and time decay of the non-cutoff Boltzmann equation with hard potential
• On the Cauchy problem of Boltzmann equation with a very soft potential
• Global existence of non-cutoff Boltzmann equation in weighted Sobolev space
• Cutoff Boltzmann equation with polynomial perturbation near Maxwellian
• Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
• Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
• Local existence with mild regularity for the Boltzmann equation
• The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\)
• Exponential decay for soft potentials near Maxwellian
• 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
• The Boltzmann equation and thirteen moments
• On the classical solutions of the boltzmann equation
• Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• From Boltzmann to incompressible Navier–Stokes in Sobolev spaces with polynomial weight
• Global Mild Solutions of the Landau and <scp>Non‐Cutoff</scp> Boltzmann Equations
• Almost Exponential Decay Near Maxwellian
• Sharp bounds for Boltzmann and Landau collision operators

This page was built for publication: Noncutoff Boltzmann equation with soft potentials in the whole space