A remarkable estimate for the solutions of the Boltzmann equation
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Publication:1195685
DOI10.1016/0893-9659(92)90065-HzbMath0762.35090OpenAlexW1981660530MaRDI QIDQ1195685
Publication date: 5 January 1993
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0893-9659(92)90065-h
Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Transport processes in time-dependent statistical mechanics (82C70)
Related Items (13)
Weak solutions of the Boltzmann equation and energy conservation ⋮ Errata: Weak solutions of the Boltzmann equation and energy conservation ⋮ Conditions at infinity for boltzmann's equation. ⋮ Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions ⋮ Galilean theory of dispersion for kinetic equations ⋮ Existence and trend to equilibrium of weak solutions of the boltzmann equation ⋮ Global weak solutions and uniform \(L^p\)-stability of the Boltzmann-Enskog equation ⋮ Strong solutions of the Boltzmann equation in one spatial dimension ⋮ \(L^1\) stability estimate for a one-dimensional Boltzmann equation with inelastic collisions. ⋮ Hydrodynamic limit of granular gases to pressureless Euler in dimension 1 ⋮ Virial estimates for hard spheres ⋮ Modeling Error in L1for a Hierarchy of 1-D Discrete Velocity Models ⋮ Trend to equilibrium of weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions.
Cites Work
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- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Solution globale de l'équation de Boltzmann discrète pour les modèles spatiaux réguliers à 12 où à 20 vitesses (Global solution of the discrete Boltzmann equation for regular models with 12 or 20 velocities)
- Large-time behavior of discrete velocity Boltzmann equations
- Regularity of the moments of the solution of a transport equation
- Existence theorems for certain kinetic equations and large data
- The Boltzmann equation and its applications
- Global existence of solutions for a model Boltzmann equation
- On the Broadwell's model for a simple discrete velocity gas
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