Some remarks on a Neumann boundary value problem arising in fluid dynamics

• Autores: P. J. Torres
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 45, Nº 3, 2004, págs. 327-332
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.