Cover Image

Variational derivation of the homogeneous Boltzmann equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Basile, Giada, Benedetto, Dario, Orrieri, Carlo
Format:	Preprint
Published:	2026
Subjects:	Mathematical Physics Probability 35Q20, 82C40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Large time analysis of the rate function associated to the Boltzmann equation: dynamical phase transitions
by: Basile, Giada, et al.
Published: (2024)

Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases
by: Cárdenas, Esteban, et al.
Published: (2023)

Entropic convergence and the linearized limit for the Boltzmann equation with external force
by: Mai, Tina
Published: (2016)

Finite lattice kinetic equations for bosons, fermions, and discrete NLS
by: Lukkarinen, Jani, et al.
Published: (2026)

Hypocoercivity for the non-linear semiconductor Boltzmann equation
by: Pirner, Marlies, et al.
Published: (2024)

Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory
by: Deng, Yu, et al.
Published: (2025)

Essentials of the kinetic theory of multi-agent systems
by: Loy, Nadia, et al.
Published: (2025)

Self-similar profiles for homoenergetic solutions of the Boltzmann equation for non-cutoff Maxwell molecules
by: Kepka, Bernhard
Published: (2021)

A model for slowing particles in random media
by: Golse, François, et al.
Published: (2024)

Individual-Based Foundation of SIR-Type Epidemic Models: mean-field limit and large time behaviour
by: Martalò, Giorgio, et al.
Published: (2025)

Asymptotic Behavior of Degenerate Linear Kinetic Equations with Non-Isothermal Boundary Conditions
by: Bernou, Armand
Published: (2023)

On the Boltzmann-Fermi-Dirac Equation for Hard Potential: Global Existence and Uniqueness, Gaussian Lower Bound, and Moment Estimates
by: An, Gayoung, et al.
Published: (2025)

Relative entropy and modulated free energy without confinement via self-similar transformation
by: Rosenzweig, Matthew, et al.
Published: (2024)

3D hard sphere Boltzmann equation: explicit structure and the transition process from polynomial tail to Gaussian tail
by: Lin, Yu-Chu, et al.
Published: (2024)

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)

Longtime behavior for homoenergetic solutions in the collision dominated regime for hard potentials
by: Kepka, Bernhard
Published: (2022)

Long time derivation of the Boltzmann equation from hard sphere dynamics
by: Deng, Yu, et al.
Published: (2024)

Ill-posedness of the Boltzmann-BGK model in the exponential class
by: Lee, Donghyun, et al.
Published: (2024)

A notion of partial order in the Choose the Leader model
by: Einav, Amit, et al.
Published: (2025)

Generation of chaos in the cumulant hierarchy of the stochastic Kac model
by: Lukkarinen, Jani, et al.
Published: (2024)

Uniform convergence to the equilibrium of the homogeneous Boltzmann-Fermi-Dirac Equation with moderately soft potential
by: Jiang, Ning, et al.
Published: (2025)

The Landau equation and Fisher information
by: Guillen, Nestor, et al.
Published: (2025)

Hydrodynamic limit and Newtonian limit from the relativistic Vlasov-Maxwell-Boltzmann system to the classical Euler-Poisson system
by: Wang, Yong, et al.
Published: (2026)

Kinetic-fluid boundary layers and acoustic limit for the Boltzmann equation with general Maxwell reflection boundary condition
by: Jiang, Ning, et al.
Published: (2025)

Derivation of renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations in an interacting Bose gas
by: Chen, Thomas, et al.
Published: (2024)

The Spatially Homogeneous Boltzmann Equation for Bose-Einstein Particles: Rate of Strong Convergence to Equilibrium
by: Cai, Shuzhe, et al.
Published: (2018)

Convergence to the equilibrium for the kinetic transport equation in the two-dimensional periodic Lorentz Gas
by: Pieroni, Francesca
Published: (2025)

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

Turing instability and 2-D pattern formation in reaction-diffusion systems derived from kinetic theory
by: Boccelli, Stefano, et al.
Published: (2025)

Scattering problem for Vlasov-type equations on the $d$-dimensional torus with Gevrey data
by: Benedetto, Dario, et al.
Published: (2024)

About Lanford's theorem in the half-space with specular reflection
by: Dolmaire, Théophile
Published: (2021)

The fuzzy Landau equation: global well-posedness and Fisher information
by: Gualdani, Maria Pia, et al.
Published: (2025)

Propagation of moments for large data and semiclassical limit to the relativistic Vlasov equation
by: Leopold, Nikolai, et al.
Published: (2022)

The Non-cutoff Boltzmann Equation in Bounded Domains
by: Deng, Dingqun
Published: (2023)

Conservative Formulations of the Standard Enskog and Povzner Equations
by: Chen, Zhe
Published: (2025)

Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision Integrals
by: Charles, Frédérique, et al.
Published: (2024)

The Physisorbate-Layer Problem Arising in Kinetic Theory of Gas-Surface Interaction
by: Aoki, Kazuo, et al.
Published: (2024)

Vanishing angular singularity limit to the hard-sphere Boltzmann equation
by: Jang, Jin Woo, et al.
Published: (2022)

The Lake equation as a supercritical mean-field limit
by: Rosenzweig, Matthew, et al.
Published: (2024)

The Semiclassical Limit of the 2D Dirac--Hartree Equation with Periodic Potentials
by: Lee, Jinyeop, et al.
Published: (2025)