NDLI: Long-time asymptotics for a classical particle interacting with a scalar wave field

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Long-time asymptotics for a classical particle interacting with a scalar wave field

Content Provider	Semantic Scholar
Author	Komechl, Alexander Spohn, Herbert Kunze, Markus
Copyright Year	1997
Abstract	We consider the Harniltonian system consisting of scalar wave field and a single particle coupled in a translation invariant manner. The point particle is subject to a confining external potential. The stationary solutions of the system are a Coulomb type wave field centered at those particle positions for which the external force vanishes. We prove that solutions of finite energy converge, in suitable local energy seminorms, to the set of stationary solutions in the long time limit t f oo. The rate of relaxation to a stable stationary solution is determined by spatial decay of initial data. 'Supported partly by French-Russian A.M.Liapunov Center of Moscow State University, by research grants of RFBR (9601-00527) and of Volkswagen-Stiftung.
Starting Page	157
Ending Page	181
Page Count	25
File Format	PDF HTM / HTML
Volume Number	22
Alternate Webpage(s)	http://mpej.unige.ch/mp_arc/c/96/96-129.ps.gz
Alternate Webpage(s)	http://www.ma.utexas.edu/mp_arc/c/96/96-129.ps.gz
Alternate Webpage(s)	http://www-m5.mathematik.tu-muenchen.de/pers/spohn/110ksk.ps
Alternate Webpage(s)	https://www.mat.univie.ac.at/~komech/articles/k98.pdf
Alternate Webpage(s)	https://doi.org/10.1080/03605309708821264
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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