On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation (Q1770265)

scientific article; zbMATH DE number 2156016

Language	Label	Description	Also known as
English	On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation	scientific article; zbMATH DE number 2156016

Statements

instance of

scholarly article

0 references

title

On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation (English)

0 references

published in

Inventiones Mathematicae

0 references

publication date

14 April 2005

0 references

author

Laurent Desvillettes

0 references

Cédric Villani

0 references

describes a project that uses

Boltzmann

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1007/s00222-004-0389-9

0 references

cites work

On the Boltzmann equation for long-range interactions

0 references

On the Landau approximation in plasma physics.

0 references

Stability in \(L^ 1\) for the spatially homogeneous Boltzmann equation

0 references

Boltzmann asymptotics with diffuse reflection boundary conditions

0 references

Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials

0 references

Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation

0 references

Q5526923

0 references

Equilibration Rate for the Linear Inhomogeneous Relaxation-Time Boltzmann Equation for Charged Particles

0 references

The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous

0 references

Strict entropy production bounds and stability of the rate of convergence to equilibrium for the Boltzmann equation

0 references

Entropy production estimates for Boltzmann equations with physically realistic collision kernels

0 references

Determination of the spectral gap for Kac's master equation and related stochastic evolution.

0 references

Q4210479

0 references

Q4492758

0 references

Modeling and computational methods for kinetic equations

0 references

Entropy dissipation rate and convergence in kinetic equations

0 references

Convergence to equilibrium in large time for Boltzmann and B.G.K. equations

0 references

On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications

0 references

On the trend to global equilibrium in spatially inhomogeneous entropy-dissipating systems: The linear Fokker-Planck equation

0 references

On a variant of Korn's inequality arising in statistical mechanics

0 references

Bounds for Kac's master equation

0 references

On the Cauchy problem for Boltzmann equations: Global existence and weak stability

0 references

High order numerical methods for the space non-homogeneous Boltzmann equation.

0 references

Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on \(\mathbb R^2\)

0 references

The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels

0 references

The Landau equation in a periodic box

0 references

Classical solutions to the Boltzmann equation for molecules with an angular cutoff

0 references

The Vlasov-Maxwell-Boltzmann system near Maxwellians

0 references

\(L^ p\)-estimates for the nonlinear spatially homogeneous Boltzmann equation

0 references

Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians

0 references

Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential

0 references

Spectral gap for Kac's model of Boltzmann equation.

0 references

Q3236483

0 references

From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II

0 references

Spatial Decay Solutions of the Boltzmann Equation: Converse Properties of Long Time Limiting Behavior

0 references

Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas

0 references

Quantitative Lower Bounds for the Full Boltzmann Equation, Part I: Periodic Boundary Conditions

0 references

Regularity theory for the spatially homogeneous Boltzmann equation with cut-off

0 references

A Maxwellian lower bound for solutions to the Boltzmann equation

0 references

Global solutions of the Boltzmann equation in a bounded convex domain

0 references

Q4002759

0 references

Q3358031

0 references

Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation

0 references

On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds.

0 references

Q6133405

0 references

On the existence of global solutions of mixed problem for non-linear Boltzmann equation

0 references

Fisher information estimates for Boltzmann's collision operator

0 references

Q4422852

0 references

Q4409400

0 references

Cercignani's conjecture is sometimes true and always almost true

0 references

Q4805362

0 references

Stability and exponential convergence in Lp for the spatially homogeneous Boltzmann equation

0 references

Stability and exponential convergence for Boltzmann equation

0 references

Identifiers

zbMATH Open document ID

1162.82316

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

10.1007/S00222-004-0389-9

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1770265