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Traveling Front Solutions in Reaction-Diffusion Equations / Masaharu Taniguchi.
- Format:
- Book
- Author/Creator:
- Taniguchi, Masaharu, author.
- Language:
- English
- Subjects (All):
- Reaction-diffusion equations.
- Physical Description:
- 1 online resource (170 pages)
- Place of Publication:
- Tokyo, Japan : Mathematical Society of Japan, 2021.
- Summary:
- The study on traveling fronts in reaction-diffusion equations is the first step to understand various kinds of propagation phenomena in reaction-diffusion models in natural science. One dimensional traveling fronts have been studied from the 1970s, and multidimensional ones have been studied from around 2005.
- Contents:
- Chapter 1. Phase Plane Analysis
- Chapter 2. Existence and the Schauder Estimates of Solutions
- Chapter 3. Properties of Traveling Front Solutions
- Chapter 4. Traveling Fronts for Bistable Nonlinearity II
- Chapter 5. Weak Supersolutions and Weak Subsolutions
- Chapter 6. V-form Traveling Fronts
- Chapter 7. Pyramidal Traveling Fronts
- Appendix A. The Maximum Principles
- References.
- Notes:
- Description based on publisher supplied metadata and other sources.
- Includes bibliographical references.
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