55 citations · 86 across the 6 of their papers we have counts for
6 papers
On global attraction to quantum stationary states. Dirac equation with mean field interaction
Alexander Komech, Andrew Komech
We consider a U(1)-invariant nonlinear Dirac equation in dimension , interacting with itself via the mean field mechanism. We analyze the long-time asymptotics of solutions an…
Global attraction to solitary waves for Klein-Gordon equation with mean field interaction
Alexander Komech, Andrew Komech
We consider a U(1)-invariant nonlinear Klein-Gordon equation in dimension one or larger, self-interacting via the mean field mechanism. We analyze the long-time asymptotics of fini…
On global attraction to solitary waves for the Klein-Gordon field coupled to several nonlinear oscillators
Alexander Komech, Andrew Komech
The global attraction is established for all finite energy solutions to a model -invariant nonlinear Klein-Gordon equation in one dimension coupled to a finite numbe…
Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field
Alexander Komech, Andrew Komech
The long-time asymptotics is analyzed for all finite energy solutions to a model U(1)-invariant nonlinear Klein-Gordon equation in one dimension, with the nonlinearity concentrated…
On Global Attraction to Solitary Waves for the Klein-Gordon Equation Coupled to Nonlinear Oscillator
Alexander Komech, Andrew Komech
The long-time asymptotics is analyzed for all finite energy solutions to a model U(1)-invariant nonlinear Klein-Gordon equation in one dimension, with the nonlinearity concentrated…
Global well-posedness for the Schroedinger equation coupled to a nonlinear oscillator
Alexander Komech, Andrew Komech
The Schroedinger equation with the nonlinearity concentrated at a single point proves to be an interesting and important model for the analysis of long-time behavior of solutions,…