Multiscale analysis for interacting particles: relaxation systems and scalar conservation laws.

DOI10.1023/A:1004670308361zbMath1080.82566MaRDI QIDQ1964515

Markos A. Katsoulakis, Athanassios E. Tzavaras

Publication date: 20 February 2000

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

zbMATH Keywords

rates of convergenceinteracting particle systemsmultiple scalesscalar conservation lawsrelaxation systemscorrelation function methodsemidiscrete schemes

Mathematics Subject Classification ID

Special processes (60K99) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (5)

Weak solutions for equations defined by accretive operators. II: Relaxation limits. ⋮ Addendum to: ``Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws ⋮ On renormalized dissipative solutions for conservation laws ⋮ Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems ⋮ Hydrodynamic limits for kinetic equations and the diffusive approximation of radiative transport for acoustic waves

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