Statistical mechanics of nonlinear wave equations

H. P. McKean; K. L. Vaninsky

doi:10.1007/BF02365210

Statistical mechanics of nonlinear wave equations

H. P. McKean, K. L. Vaninsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The recurrences of initial states for nonlinear wave equations of the form √Q+f(Q) = 0 with odd f are studied. The main result refines and generalizes the investigations of Friedlander and is related to the Poincaré theorem for finite dimensional Hamiltonian systems. Bibliography: 7 titles.

Original language	English (US)
Pages (from-to)	1630-1634
Number of pages	5
Journal	Journal of Mathematical Sciences
Volume	94
Issue number	4
DOIs	https://doi.org/10.1007/BF02365210
State	Published - 1999

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/BF02365210

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title = "Statistical mechanics of nonlinear wave equations",

abstract = "The recurrences of initial states for nonlinear wave equations of the form √Q+f(Q) = 0 with odd f are studied. The main result refines and generalizes the investigations of Friedlander and is related to the Poincar{\'e} theorem for finite dimensional Hamiltonian systems. Bibliography: 7 titles.",

author = "McKean, {H. P.} and Vaninsky, {K. L.}",

note = "Funding Information: This work was carried out at the Courant Institute of Mathematical Sciences, with the partial support of the National Science Foundation under NSF Grant No. DMS-9112654 which is gratefully acknowledged by It. McK.: it represents part of the doctoral dissertation of K. V.",

year = "1999",

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AU - Vaninsky, K. L.

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PY - 1999

Y1 - 1999

N2 - The recurrences of initial states for nonlinear wave equations of the form √Q+f(Q) = 0 with odd f are studied. The main result refines and generalizes the investigations of Friedlander and is related to the Poincaré theorem for finite dimensional Hamiltonian systems. Bibliography: 7 titles.

AB - The recurrences of initial states for nonlinear wave equations of the form √Q+f(Q) = 0 with odd f are studied. The main result refines and generalizes the investigations of Friedlander and is related to the Poincaré theorem for finite dimensional Hamiltonian systems. Bibliography: 7 titles.

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Statistical mechanics of nonlinear wave equations

Abstract

ASJC Scopus subject areas

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