On radial stationary solutions to a model of non-equilibrium growth

0393489 - MÚ 2014 RIV GB eng J - Journal Article
Escudero, C. - Hakl, Robert - Peral, I. - Torres, P.J.
On radial stationary solutions to a model of non-equilibrium growth.
European Journal of Applied Mathematics. Roč. 24, č. 3 (2013), s. 437-453. ISSN 0956-7925. E-ISSN 1469-4425
Institutional support: RVO:67985840
Keywords : non-equilibrium growth * radial solutions * variational methods
Subject RIV: BA - General Mathematics
Impact factor: 1.081, year: 2013
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8897362

We present the formal geometric derivation of a non-equilibrium 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 non-equilibrium statistical mechanics.
Permanent Link: http://hdl.handle.net/11104/0222206