

Preprint 23/2007
Spectral stability of post-fertilization traveling waves
Gilberto Flores and Ramón G. Plaza
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Submission date: 27. Feb. 2007
Pages: 15
Bibtex
MSC-Numbers: 74J30, 47A10
Keywords and phrases: Evans function, post-fertilization traveling waves, spectral stability
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Abstract:
This paper studies the stability of a family of post-fertilization
traveling waves on eggs proposed by Lane et. al,
consisting of an elastic deformation pulse on the egg's surface, and a
calcium concentration profile. The family is indexed by a coupling
parameter that measures the contraction stress effects on
the egg's surface. It is shown that the corresponding family of Evans
functions for
converges uniformly to the non-vanishing Evans
function of the decoupled waves when
, proving spectral
stability.