Author: Zhang, Zengyan
Title: Existence of traveling wave solutions of a hyperbolic system
Advisors: Lin, Yanping (AMA)
Wang, Zhi-an (AMA)
Degree: M.Phil.
Year: 2017
Subject: Hong Kong Polytechnic University -- Dissertations
Differential equations, Partial
Differential equations, Nonlinear
Department: Department of Applied Mathematics
Pages: xii, 48 pages : illustrations
Language: English
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.
Rights: All rights reserved
Access: open access

Files in This Item:
File Description SizeFormat 
991021962222303411.pdfFor All Users884.96 kBAdobe PDFView/Open

Copyright Undertaking

As a bona fide Library user, I declare that:

  1. I will abide by the rules and legal ordinances governing copyright regarding the use of the Database.
  2. I will use the Database for the purpose of my research or private study only and not for circulation or further reproduction or any other purpose.
  3. I agree to indemnify and hold the University harmless from and against any loss, damage, cost, liability or expenses arising from copyright infringement or unauthorized usage.

By downloading any item(s) listed above, you acknowledge that you have read and understood the copyright undertaking as stated above, and agree to be bound by all of its terms.

Show full item record

Please use this identifier to cite or link to this item: