The 3-dimensional oscillon equation
Analysis of PDEs
2013-07-09 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
On a bounded three-dimensional smooth domain, we consider the generalized oscillon equation with Dirichlet boundary conditions, with time-dependent damping and time-dependent squared speed of propagation. Under structural assumptions on the damping and the speed of propagation, which include the relevant physical case of reheating phase of inflation, we establish the existence of a pullback global attractor of optimal regularity, and finite-dimensionality of the kernel sections.
Cite
@article{arxiv.1307.1777,
title = {The 3-dimensional oscillon equation},
author = {Francesco Di Plinio and Gregory S. Duane and Roger Temam},
journal= {arXiv preprint arXiv:1307.1777},
year = {2013}
}