Universidad Complutense de Madrid
E-Prints Complutense

On an elliptic system related to desertification studies

Impacto

Downloads

Downloads per month over past year

Díaz Díaz, Jesús Ildefonso and Kyriazopoulos, Paris (2014) On an elliptic system related to desertification studies. RACSAM. Serie A. Matemáticas, 108 . pp. 397-404. ISSN 1578-7303

[img] PDF
Restringido a Repository staff only

178kB
[img]
Preview
PDF
129kB

Official URL: http://link.springer.com/article/10.1007%2Fs13398-012-0108-0#page-1


URLURL Type
http://lspringer.com/Publisher


Abstract

In this communication, we consider the stationary problem of a non-linear parabolic system which arises in the context of dry-land vegetation. In the first part, we examine the existence and multiplicity of biomass stationary solutions, in terms of the precipitation rate parameter p, for a localized simplification of the system, with non-homogeneous rate of biomass loss. In fact, we show that under appropriate conditions on fixed parameters of the problem, multiple positive solutions exist for a range of the parameter p. In the second part, we consider the case of an idealized “oasis”, ω ⊂⊂ Ω, where we study the transition of the surface-water height in a neighborhood of the set ω


Item Type:Article
Uncontrolled Keywords:Multiplicity of positive solutions; Dry-land vegetation
Subjects:Sciences > Mathematics > Differential equations
ID Code:28852
Deposited On:02 Mar 2015 15:44
Last Modified:12 Dec 2018 15:06

Origin of downloads

Repository Staff Only: item control page