From the Newton equation to the wave equation in some simple cases

DOI10.3934/NHM.2012.7.1zbMath1259.35163OpenAlexW2052793621MaRDI QIDQ1943883

Pierre-Louis Lions, Claude Le Bris, Xavier Blanc

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2012.7.1

zbMATH Keywords

nonlinear wave equationmacroscopic limitNewton equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with fluid mechanics (35Q35) Second-order nonlinear hyperbolic equations (35L70) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) The dynamics of infinite particle systems (70F45)

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