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Long-Time Asymptotics for a Classical ParticleInteracting with a Scalar Wave Field
| Content Provider | Semantic Scholar |
|---|---|
| Author | Komech, Alexander |
| Copyright Year | 2007 |
| Abstract | We consider the Hamiltonian system consisting of scalar wave eld and a single particle coupled in a translation invariant manner. The point particle is subject to a connning external potential. The stationary solutions of the system are a Coulomb type wave eld centered at those particle positions for which the external force vanishes. We prove that solutions of nite energy converge, in suitable local energy seminorms, to the set of stationary solutions in the long time limit t ! 1. The rate of relaxation to a stable stationary solution is determined by spatial decay of initial data. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www-m5.mathematik.tu-muenchen.de/pers/spohn/110ksk.ps |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | ARID1A wt Allele Converge Linear programming relaxation Scalar processor Solutions Stationary process Stationary state |
| Content Type | Text |
| Resource Type | Article |