Patterns on surfaces of revolution in a diffusion problem with variable diffusivity

In this article we study the existence of non-constant stable stationary solutions to the the diffusion equation $u_t=\hbox{div}(a \nabla u)+f(u)$ on a surface of revolution whose border is supplied with zero Neumann boundary condition. Sufficient conditions on the geometry of the surface and on...

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Bibliographic Details
Main Authors: Arnaldo Simal do Nascimento, Maicon Sonego
Format: Article
Language:English
Published: Texas State University 2014-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/238/abstr.html