From hyperbolic systems to kinetic theory. A personalized quest

zbMath1147.35004MaRDI QIDQ2468821

Luc Tartar

Publication date: 11 February 2008

Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)

zbMATH Keywords

Boltzmann equationRiemann invariantsinteracting particle systemskinetic models\(H\)-measuresrarefaction and shock waves

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Hyperbolic conservation laws (35L65) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (11)

Microcanonical entropy and mesoscale dislocation mechanics and plasticity ⋮ Galilean theory of dispersion for kinetic equations ⋮ Global existence, scattering, rigidity and inverse scattering for some quasilinear hyperbolic systems ⋮ Global solutions of the Boltzmann equation over \({\mathbb{R}^D}\) near global Maxwellians with small mass ⋮ Weak continuity and compactness for nonlinear partial differential equations ⋮ Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in 1 + 1 dimensions ⋮ The Boltzmann Equation over $${{\mathbb R}^{{\mathrm {D}}}}$$ R D : Dispersion Versus Dissipation ⋮ A Viscosity method for the min-max construction of closed geodesics ⋮ Estimates on the weak solution of semilinear hyperbolic systems ⋮ Conservation laws in continuum mechanics ⋮ Global solution to nonlinear Dirac equation for Gross-Neveu model in \(1+1\) dimensions

This page was built for publication: From hyperbolic systems to kinetic theory. A personalized quest