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Pattern formation (II): The Turing Instability
Author(s):
Yan
Guo;
Hyung Ju
Hwang
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2855-2866.
MSC (2000):
Primary 35K57, 35Pxx, 92Bxx
Posted:
May 14, 2007
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Additional information
Abstract:
We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the finite number of linear growing modes over a time scale of  where  is the strength of the initial perturbation.
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Additional Information:
Yan
Guo
Affiliation:
Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912
Email:
guoy@dam.brown.edu
Hyung Ju
Hwang
Affiliation:
School of Mathematics, Trinitiy College Dublin, Dublin 2, Ireland & Department of Mathematics, Postech, Pohang 790-784, Korea
Email:
hjhwang@postech.edu
DOI:
10.1090/S0002-9939-07-08850-8
PII:
S 0002-9939(07)08850-8
Received by editor(s):
October 19, 2005
Received by editor(s) in revised form:
May 26, 2006
Posted:
May 14, 2007
Communicated by:
Walter Craig
Copyright of article:
Copyright
2007,
American Mathematical Society
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