ANZIAM J.
45 (2004), 327-332
|
Some remarks on a Neumann boundary value problem arising in fluid dynamics
|
Pedro J. Torres
Dep. de Matemática Aplicada
Universidad de Granada
18071 Granada
Spain
ptorres@ugr.es
|
|
|
Abstract
|
It is proved that the Neumann boundary value
problem, which Mays and Norbury have recently
connected with a certain fluid dynamics equation,
has a positive solution for any positive value of
a particular parameter. Uniform bounds for the
solutions and symmetry on a given range of the
parameter are also introduced. The proofs include
Krasnoselskii's classical fixed-point theorem on
cones of a Banach space and basic comparison
techniques.
|
Download the article in PDF format (size 49 Kb)
|
|
|
|