- 96-127 Komech A., Spohn H.
- Soliton-Like Asymptotics for a Classical Particle
Interacting with a Scalar Wave Field
Apr 11, 96
(auto. generated ps),
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Abstract. We consider a scalar wave field translation invariantly coupled
to a single particle. This Hamiltonian system admits soliton-like
solutions, where the particle and comoving field travel with
constant velocity. We prove that a solution of finite energy
converges, in suitable local energy seminorms, to some soliton-like
solutions in the long time limit $t\to\pm\infty$.