Cover Image

Global renormalized solutions to Boltzmann systems modeling mixture gases of monatomic and polyatomic species

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Luo, Yi-Long, Nie, Jing-Xin
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Well-posedness and time-asymptotic of Boltzmann equations for monatomic and polyatomic mixtures
by: Alonso, Ricardo, et al.
Published: (2025)

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

Compactness property of the linearized Boltzmann collision operator for a mixture of monatomic and polyatomic species
by: Bernhoff, Niclas
Published: (2023)

Compactness of linearized Boltzmann operators for polyatomic gases
by: Bernhoff, Niclas, et al.
Published: (2024)

Linearized Boltzmann collision operator for a mixture of monatomic and polyatomic chemically reacting species
by: Bernhoff, Niclas
Published: (2024)

Determination of equilibrium parameters of the Marle model for polyatomic gases
by: Hwang, Byung-Hoon
Published: (2023)

Relativistic BGK model of Marle for polyatomic gases near equilibrium
by: Hwang, Byung-Hoon
Published: (2025)

Boltzmann framework for polyatomic gases: review on well-posedness, higher integrability and physical relevance
by: Alonso, Ricardo, et al.
Published: (2025)

Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases
by: Shao, Feng, et al.
Published: (2025)

Moment estimates for polyatomic Boltzmann equation with frozen collisions
by: Alonso, Ricardo, et al.
Published: (2025)

A consistent non-linear Fokker-Planck model for a gas mixture of polyatomic molecules
by: Pirner, Marlies
Published: (2024)

On the modelling of polyatomic molecules in kinetic theory
by: Bisi, Marzia, et al.
Published: (2025)

The non-isothermal Maxwell-Stefan asymptotics of the multi-species Boltzmann equations
by: Chen, Xinqiu, et al.
Published: (2025)

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

Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space
by: Jiang, Ning, et al.
Published: (2021)

Global stability of vacuum for the relativistic Vlasov-Maxwell-Boltzmann system
by: Cao, Chuqi, et al.
Published: (2026)

The half-space problem of evaporation and condensation for polyatomic gases and entropy inequalities
by: Bernhoff, Niclas, et al.
Published: (2025)

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

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

Global existence and stability of solutions for the 2D non-resistive compressible MHD system
by: Zhu, Yi
Published: (2026)

Global regularity and optimal decay estimates of large solutions to the compressible FENE system
by: Luo, Zhaonan, et al.
Published: (2024)

On global smooth solutions to the 2D isentropic and irrotational Chaplygin gases with short pulse data
by: Ding, Bingbing, et al.
Published: (2022)

Global mild solution with polynomial tail for the Boltzmann equation in the whole space
by: Duan, Renjun, et al.
Published: (2022)

Time-asymptotic stability of generic Riemann solutions for Boltzmann equation
by: Wang, Yi, et al.
Published: (2025)

Global existence of smooth solution to evolutionary Faddeev model with short-pulse data
by: Luo, Shaoying, et al.
Published: (2025)

Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity
by: Hou, Fei, et al.
Published: (2018)

On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy
by: Ampatzoglou, Ioakeim, et al.
Published: (2024)

Global existence for an isotropic modification of the Boltzmann equation
by: Snelson, Stanley
Published: (2023)

Hydrodynamic limits from the self-organized kinetic system for body attitude coordination
by: Guo, Naping, et al.
Published: (2023)

Global in time justification of a two-phase averaged system for heat-conducting ideal gases
by: Gonin--Joubert, Pierre
Published: (2026)

Global bifurcation of solutions to elliptic systems with system and domain symmetries
by: Stefaniak, Piotr
Published: (2025)

Equivalence between Superharmonic functions and renormalized solutions for the equations with $(p, q)$-growth
by: Li, Ying, et al.
Published: (2025)

Existence and uniqueness for renormalized solutions to a general noncoercive nonlinear parabolic equation
by: Dang, T. T., et al.
Published: (2024)

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

Global Diffusive Expansion of Boltzmann Equation in exterior Domain
by: Jung, Junhwa
Published: (2023)

Global compressible Euler-Poisson limit of the ionic Vlasov-Poisson-Boltzmann system for all cutoff potentials
by: Ye, Qin, et al.
Published: (2026)

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

Global conservative solution for the periodic $μ$-Camassa-Holm equation
by: Luo, Wei, et al.
Published: (2016)

A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes
by: Borsoni, Thomas, et al.
Published: (2025)

Global solutions of the 2D inhomogeneous incompressible viscoelastic system
by: Ai, Chengfei, et al.
Published: (2026)