Article ID Journal Published Year Pages File Type
4609260 Journal of Differential Equations 2016 19 Pages PDF
Abstract

This paper investigates oscillatory traveling wave solutions to an attractive chemotaxis system. The convective part of this system changes its type when crossing a parabola in the phase space. The oscillatory nature of the traveling wave comes from the fact that one far-field state is in the elliptic region and another in the hyperbolic region. Such traveling wave solutions are shown to be linearly unstable. Detailed construction of some traveling wave solutions is presented.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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