On radial stationary solutions to a model of nonequilibrium growth
Classical Analysis and ODEs
2013-09-24 v1 Mathematical Physics
math.MP
Abstract
We present the formal geometric derivation of a nonequilibrium growth model that takes the form of a parabolic partial differential equation. Subsequently, we study its stationary radial solutions by means of variational techniques. Our results depend on the size of a parameter that plays the role of the strength of forcing. For small forcing we prove the existence and multiplicity of solutions to the elliptic problem. We discuss our results in the context of nonequilibrium statistical mechanics.
Keywords
Cite
@article{arxiv.1309.5658,
title = {On radial stationary solutions to a model of nonequilibrium growth},
author = {Carlos Escudero and Robert Hakl and Ireneo Peral and Pedro J. Torres},
journal= {arXiv preprint arXiv:1309.5658},
year = {2013}
}