Global weak solutions of the Boltzmann equation

DOI10.1007/s10955-004-8786-4zbMath1097.82022OpenAlexW2025256747MaRDI QIDQ2575537

Carlo Cercignani

Publication date: 12 December 2005

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-004-8786-4

zbMATH Keywords

convergenceglobal solutionequilibriumBoltzmann equationenergy conservationhard spheresanalytical approachone-dimensional problemnonlinear solution

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (11)

Divergence-free positive symmetric tensors and fluid dynamics ⋮ Estimating the solutions of the Boltzmann equation ⋮ The Enskog process ⋮ THEORY OF TRANSPORT PROCESSES AND THE METHOD OF THE NONEQUILIBRIUM STATISTICAL OPERATOR ⋮ Galilean theory of dispersion for kinetic equations ⋮ Weak solutions of the Boltzmann equation without angle cutoff ⋮ Global weak solutions and uniform \(L^p\)-stability of the Boltzmann-Enskog equation ⋮ Strong solutions of the Boltzmann equation in one spatial dimension ⋮ Hydrodynamic limits: Some improvements of the relative entropy method ⋮ Virial estimates for hard spheres ⋮ Entropy inequality and hydrodynamic limits for the Boltzmann equation

Cites Work

• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Weak solutions of the Boltzmann equation and energy conservation
• Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions

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