Spectral stability of post-fertilization traveling waves
Gilberto Flores and Ramón G. Plaza
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Submission date: 27. Feb. 2007
MSC-Numbers: 74J30, 47A10
Keywords and phrases: Evans function, post-fertilization traveling waves, spectral stability
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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.