Cover Image

On the large amplitude solution of the Boltzmann equation with large external potential and boundary effects

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kim, Jong-in, Lee, Donghyun
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global solutions in $L^{p}_{v}L^{\infty}_{x}$ for the Boltzmann equation in bounded domains
by: Deng, Dingqun, et al.
Published: (2025)

Asymptotic behavior of large-amplitude solutions to the Boltzmann equation with soft interactions in $L^p_v L^\infty_x$ spaces
by: Kim, Jong-in, et al.
Published: (2026)

The Mixed Convex-Concave effect on the regularity of a Boltzmann solution
by: An, Gayoung, et al.
Published: (2023)

High-velocity tails of the inelastic and the multi-species mixture Boltzmann equations
by: An, Gayoung, et al.
Published: (2022)

Optimal $C^{\frac{1}{2}}$ regularity of the Boltzmann equation in non-convex domains
by: An, Gayoung, et al.
Published: (2025)

Quantitative pointwise estimates of the cooling process for inelastic Boltzmann equation
by: An, Gayoung, et al.
Published: (2024)

Global weak solutions of 3D compressible magnetohydrodynamic equations subject to large external potential forces with discontinuous initial data and vacuum
by: Chen, Geyuan, et al.
Published: (2025)

On large periodic traveling wave solutions to the free boundary Stokes and Navier-Stokes equations
by: Banihashemi, Seyed Abdolhamid, et al.
Published: (2026)

Hölder regularity of solutions of the steady Boltzmann equation with soft potentials
by: Wu, Kung-Chien, et al.
Published: (2024)

Macroscopic estimate of the linear Boltzmann and Landau equations with Specular reflection boundary
by: Chen, Hongxu, et al.
Published: (2023)

Boltzmann equation with mixed boundary condition
by: Chen, Hongxu, et al.
Published: (2024)

Normalized solutions on large smooth domains to the Schrödinger equations with potential and combined nonlinearities: The Sobolev critical case
by: Lin, Xiaolu, et al.
Published: (2024)

Sharp regularization effect for the non-cutoff Boltzmann equation with hard potentials
by: Chen, Jun-Ling, et al.
Published: (2023)

Space-time structure and particle-fluid duality of solutions for Boltzmann equation with hard potentials
by: Lin, Yu-Chu, et al.
Published: (2024)

Fisher information for solutions of the Boltzmann equation
by: Imbert, Cyril
Published: (2025)

Vortex-carrying solitary gravity waves of large amplitude
by: Chen, Robin Ming, et al.
Published: (2024)

Global regularity for solutions of magnetohydrodynamic equations with large initial data
by: Xu, Xiangsheng
Published: (2024)

On the global stability and large time behavior of solutions of the Boussinesq equations
by: Jiang, Song, et al.
Published: (2025)

Quantitative periodic homogenization of parabolic equations with large drift and potential
by: Sinha, Kshitij
Published: (2025)

Global renormalized solutions for hard potential non-cutoff Boltzmann equation without defect measure
by: Luo, Yi-Long, et al.
Published: (2026)

Nishida-Smoller type large solutions for the compressible Navier-Stokes equations with slip boundary conditions in 3D exterior domains
by: Xie, Minghong, et al.
Published: (2025)

Existence of solutions to Dirichlet boundary value problems of the stationary relativistic Boltzmann equation
by: Wang, Yi, et al.
Published: (2024)

The Boltzmann equation with non-isothermal Maxwell boundary conditions
by: Medina, R
Published: (2026)

On the local Maxwellians solving the Boltzmann equation with boundary condition
by: Dolmaire, Théophile
Published: (2025)

Solutions to a moving boundary problem on the Boltzmann equation
by: Duan, Renjun, et al.
Published: (2018)

Dynamical Billiard and a long-time behavior of the Boltzmann equation in general 3D toroidal domains
by: Ko, Gyounghun, et al.
Published: (2023)

Ergodic pairs for fractional Hamilton-Jacobi equations on bounded domains: large solutions
by: Quaas, Alexander, et al.
Published: (2026)

Global smooth solutions to 2D semilinear wave equations with large data
by: Ding, Bingbing, et al.
Published: (2023)

The Boltzmann equation on smooth and cylindrical domains with Maxwell boundary conditions
by: Rodriguez, Richard Medina
Published: (2025)

Local well-posedness for the Boltzmann equation with hard potentials
by: Li, Hao-Guang, et al.
Published: (2026)

Propagation of chaos for the Boltzmann equation with very soft potentials
by: Tabary, Côme
Published: (2026)

Nishida-Smoller type large solutions and exponential growth for the compressible Navier-Stokes equations with slip boundary conditions in 3D bounded domain
by: Xu, Saiguo, et al.
Published: (2025)

On the Boltzmann equation with soft potentials: Existence, uniqueness and smoothing effect of mild solutions
by: He, Ling-Bing, et al.
Published: (2024)

Porous medium type reaction-diffusion equation: large time behaviors and regularity of free boundary
by: He, Qingyou
Published: (2024)

Global smooth solutions to Navier-Stokes equations with large initial data in critical space
by: Li, Haina, et al.
Published: (2025)

Three-dimensional time-periodic problem on the Boltzmann equation with external force
by: Duan, Renjun, et al.
Published: (2026)

On the Cauchy problem of the Boltzmann equation with a very soft potential
by: Deng, Dingqun
Published: (2018)

Uniqueness of solutions to MFG systems with large discount
by: Cirant, Marco, et al.
Published: (2025)

Global existence and uniqueness of weak solutions for the MHD equations with large $L^3$-initial values
by: Lai, Baishun, et al.
Published: (2026)

Global in-time rough large data solution to complex-valued semilinear damped evolution equations
by: Chen, Wenhui, et al.
Published: (2025)