BOUNDARY CONDITIONS AND EXISTENCE RESULTS FOR LEVERMORE'S MOMENTS SYSTEM

DOI10.1142/S0218202500000094zbMath1010.82031OpenAlexW2079038821MaRDI QIDQ4798785

Perlat, Jean-Philippe, Le Tallec, Patrick

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000094

zbMATH Keywords

Boltzmann equationunique solutionweak boundary conditions14 moment expansion

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) First-order hyperbolic systems (35L40)

Related Items (6)

The Maxwell-Stefan diffusion limit for a kinetic model of mixtures with general cross sections ⋮ ON THE MATHEMATICAL THEORY OF VEHICULAR TRAFFIC FLOW I: FLUID DYNAMIC AND KINETIC MODELLING ⋮ On the Five-Moment Maximum Entropy System of One-Dimensional Boltzmann Equation ⋮ Entropy bounds for the space-time discontinuous Galerkin finite element moment method applied to the BGK-Boltzmann equation ⋮ CFD by first-order PDEs ⋮ Nonlinear nonviscous hydrodynamical models for charge transport in the framework of extended thermodynamic methods

Cites Work

• Coupling Boltzmann and Navier-Stokes equations by half fluxes
• Moment closure hierarchies for kinetic theories.
• Boltzmann Type Schemes for Gas Dynamics and the Entropy Property
• On a domain decomposition for the transport equation: theory and finite element approximation

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