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Title: Existence of traveling wave solutions of a hyperbolic system
Authors: Zhang, Zengyan
Advisors: Lin, Yanping (AMA)
Wang, Zhi-an (AMA)
Keywords: Differential equations, Partial
Differential equations, Nonlinear
Issue Date: 2017
Publisher: The Hong Kong Polytechnic University
Abstract: In thesis, we establish and prove the existence of traveling wave solutions of a hyperbolic system. This system has various applications in many fields, in particular, biological science, such as chemotactic movement of bacteria, aggregation of microglia in Alzheimer’s disease, tumor angiogenesis and reinforced random walkers, etc.. One of prominent phenomena is the propagating of traveling waves. Numerical simulations will be represented to illustrate the process of forming steadily wave propagation in those applications. In addition, open problems are proposed for further study.
Description: xii, 48 pages : illustrations
PolyU Library Call No.: [THS] LG51 .H577M AMA 2017 Zhang
Rights: All rights reserved.
Appears in Collections:Thesis

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