On a class of implicit solutions of the continuity and Euler's equations for 1D systems with long range interactions. II

DOI10.1016/j.physd.2006.12.003zbMath1107.82064OpenAlexW4256210604WikidataQ59241758 ScholiaQ59241758MaRDI QIDQ869703

Philippe Choquard, Joël Wagner

Publication date: 8 March 2007

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2006.12.003

zbMATH Keywords

Coulombian and cosmological models with background densitiesdensity-velocity correlationgeneralized Burgers equation and mean-field dynamicsnon-local Hamiltonian field theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of plasmas (82D10) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Astrophysical cosmology (85A40)

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Single speed solutions of the Vlasov-Poisson equations for Coulombian and Newtonian systems in \(nD\), On a Class of Mean Field Solutions of the Monge Problem for Perfect and Self-Interacting Systems

Cites Work

• The thermodynamic limit for jellium
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• Some problems in the theory of quasilinear equations
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