The main subject of this course is the theory of reaction-diffusion equations.
We learn some systems of reaction-diffusion equations.
This course follows Advanced courses in Analysis C1.
Understanding of the basic theory of reaction-diffusion systems
reaction-diffusion systems, steady states, stability, dynamics
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Standard lecture course
Course schedule | Required learning | |
---|---|---|
Class 1 | Order-preserving properties of reaction-diffusion systems | Details will be provided during each class session |
Class 2 | Reduction of domains | Details will be provided during each class session |
Class 3 | Diffusion-induced instability | Details will be provided during each class session |
Class 4 | Gradient and skew-gradient systems | Details will be provided during each class session |
Class 5 | Lotka-Volterra equation | Details will be provided during each class session |
Class 6 | FitzHugh-Nagumo equation | Details will be provided during each class session |
Class 7 | Gierer-Meinhardt equation | Details will be provided during each class session |
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
none
Reaction-diffusion equations, Eiji Yanagida, University of Tokyo Press
Assignments (100%).
Advanced topics in analysis C1.