Alexander Gardner

1964 ◽  
Vol 10 (2) ◽  
pp. 60
Keyword(s):  
Alexander Gardner

John Keay. The Tartan Turban: In Search of Alexander Gardner

Asian Affairs ◽  
2017 ◽  
Vol 48 (3) ◽  
pp. 561-562
Author(s):  
Rosie Llewellyn-Jones
Keyword(s):  
Alexander Gardner

Alexander Gardner in Review

2010 ◽  
Vol 34 (4) ◽  
pp. 356-367 ◽  
Author(s):  
Anne E. Peterson
Keyword(s):  
Alexander Gardner

Stability of non-monotone waves in a three-species reaction—diffusion model

1999 ◽  
Vol 129 (1) ◽  
pp. 125-152 ◽  
Author(s):  
Patrick D. Miller
Keyword(s):  
Linear Equations ◽  
Reaction Diffusion ◽  
Translation Invariance ◽  
System Modelling ◽  
Zero Eigenvalue ◽  
Reaction Diffusion Model ◽  
Fast And Slow Waves ◽  
Alexander Gardner ◽  
Linearized Operator

A stability theorem is proved for non-monotone waves in a reaction–diffusion system modelling three competing species, where few stability results currently exist for systems with more than two species. Asymptotic stability with respect to the nonlinear equations is established by showing that the spectrum of the linearized operator has no unstable eigenvalues and that the zero eigenvalue associated with translation invariance is simple. The result is obtained in a singular regime where strong pattern formation occurs and solutions to the linear equations can be separated into particular solutions related to the fast–slow structure of the underlying wave and its singular limit. In this system both the fast and slow waves can contribute an instability and the global characterization of these solutions must address certain difficulties not present in lower-dimensional systems. The topological index of Alexander, Gardner and Jones is used to count the eigenvalues of the linear operator.

Sign in / Sign up

Export Citation Format

Share Document