From the Newton equation to the wave equation in some simple cases
Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis (2012), From the Newton equation to the wave equation in some simple cases, Networks and Heterogeneous Media, 7, 1, p. 1-41. http://dx.doi.org/10.3934/nhm.2012.7.1
TypeArticle accepté pour publication ou publié
Journal nameNetworks and Heterogeneous Media
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Abstract (EN)We prove that, in some simple situations at least, the one-dimensional wave equation is the limit as the microscopic scale goes to zero of some time-dependent Newton type equation of motion for atomistic systems. We address both some linear and some nonlinear cases.
Subjects / KeywordsMacroscopic limit; Newton equation; nonlinear wave equation
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