Global existence and stability of mild solutions to the inelastic Boltzmann system for gas mixtures
From MaRDI portal
Publication:3071048
DOI10.1090/S0033-569X-2010-01183-5zbMath1213.35099MaRDI QIDQ3071048
Publication date: 31 January 2011
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/journals/qam/2010-68-04/S0033-569X-2010-01183-5/home.html
mild solutionsLyapunov functionalexistence of solutioninelastic collision operatornonlinear functional approachBony potential
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Boltzmann equations (35Q20)
Related Items
A Rigorous Derivation of a Boltzmann System for a Mixture of Hard-Sphere Gases, Global well-posedness of a binary-ternary Boltzmann equation, On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate
Cites Work
- Unnamed Item
- Unnamed Item
- On the Boltzmann equation for diffusively excited granular media
- Molecular gas dynamics. Theory, techniques, and applications.
- Mathematics of granular materials
- The Boltzmann equation: global existence for a rare gas in an infinite vacuum
- The Boltzmann equation. I. Uniqueness and local existence
- Knudsen layer for gas mixtures
- A consistent BGK-type model for gas mixtures
- \(L^1\) stability estimate for a one-dimensional Boltzmann equation with inelastic collisions.
- Kinetic theory and fluid dynamics
- Self-similar asymptotics for the Boltzmann equation with inelastic and elastic interactions
- Proof of an asymptotic property of self-similar solutions of the Boltzmann equation for granular materials
- Classical solution of the nonlinear Boltzmann equation in all \({\mathbb{R}}^ 3\): asymptotic behavior of solutions.
- On some properties of kinetic and hydrodynamic equations for inelastic interactions.
- Nonlinear functionals of the Boltzmann equation and uniform stability estimates
- Moment inequalities and high-energy tails for Boltzmann equations with inelastic interactions
- Stability estimates of the Boltzmann equation with quantum effects
- Uniform \(L^{1}\)-stability estimate of the Boltzmann equation near a local Maxwellian
- On the one-dimensional Boltzmann equation for granular flows
- Numerical analysis of the shear flow of a binary mixture of hard-sphere gases over a plane wall
- Evaporation and condensation of a binary mixture of vapors on a plane condensed phase: Numerical analysis of the linearized Boltzmann equation
- A kinetic model for a multicomponent gas
- On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability
- Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data
- Newa prioriestimate for the Boltzmann–Enskog equation
- Regularization of the Burnett equations for rapid granular flows via relaxation
- On diffusive equilibria in generalized kinetic theory.