Classical Solutions of Hyperbolic Systems of PDEs with Kinetic Structure

DOI10.1137/19M1244160zbMath1436.35258WikidataQ114074263 ScholiaQ114074263MaRDI QIDQ5107194

Mikhail Perepelitsa

Publication date: 17 April 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

symmetric hyperbolic systemsmoment closureskinetic formalism

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• \(L^{2}\) formulation of multidimensional scalar conservation laws
• Functional analysis, Sobolev spaces and partial differential equations
• A kinetic construction of global solutions of first order quasilinear equations
• The Boltzmann equation and its applications
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
• Moment closure hierarchies for kinetic theories.
• Linear evolution equations of hyperbolic type. II
• Averaged Multivalued Solutions for Scalar Conservation Laws
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Symmetric hyperbolic linear differential equations
• Hyperbolic Conservation Laws in Continuum Physics
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