Space-time behavior of the solution to the Boltzmann equation with soft potentials
From MaRDI portal
Publication:2122148
DOI10.1016/j.jde.2022.03.024zbMath1487.35279arXiv2112.10096OpenAlexW4221092168MaRDI QIDQ2122148
Ming-Jiea Lyu, Haitao Wang, Kung-Chien Wu, Yu-Chu Lin
Publication date: 6 April 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.10096
Asymptotic behavior of solutions to PDEs (35B40) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)
Related Items (3)
Propagation phenomena of the solution for the relativistic BGK model ⋮ A revisit of the velocity averaging lemma: on the regularity of stationary Boltzmann equation in a bounded convex domain ⋮ On \(C^2\) solution of the free-transport equation in a disk
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-isothermal boundary in the Boltzmann theory and Fourier law
- Regularity of the Boltzmann equation in convex domains
- The initial boundary value problem for the Boltzmann equation with soft potential
- Energy method for Boltzmann equation
- The Boltzmann equation near Maxwellian in the whole space
- Decay and continuity of the Boltzmann equation in bounded domains
- Quantitative pointwise estimate of the solution of the linearized Boltzmann equation
- Large-time behavior of solutions for the Boltzmann equation with hard potentials
- The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous
- The Boltzmann equation with a soft potential. II: Nonlinear, spatially- periodic
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- The first and second fluid approximation to the linearized Boltzmann equation
- The Landau equation in a periodic box
- Optimal time decay of the non cut-off Boltzmann equation in the whole space
- Milne problem for the linear and linearized Boltzmann equations relevant to a binary gas mixture
- Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications
- Exponential decay for soft potentials near Maxwellian
- The Boltzmann equation and thirteen moments
- Convergence rate for the Boltzmann and Landau equations with soft potentials
- The milne and kramers problems for the boltzmann equation of a hard sphere gas
- On the existence of global solutions of mixed problem for non-linear Boltzmann equation
- Regularity of Stationary Solutions to the Linearized Boltzmann Equations
- The Boltzmann Equation with Specular Boundary Condition in Convex Domains
- The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
- EXISTENCE OF BOUNDARY LAYER SOLUTIONS TO THE BOLTZMANN EQUATION
- Stationary solutions of the linearized Boltzmann equation in a half‐space
- The Boltzmann equation in the whole space
- Spatial behavior of the solution to the linearized Boltzmann equation with hard potentials
- Pointwise Behavior of the Linearized Boltzmann Equation on a Torus
This page was built for publication: Space-time behavior of the solution to the Boltzmann equation with soft potentials
