The main subject of this course is the theory of reaction-diffusion equations.
We learn scalar reaction-diffusion equations.
This course is followed by Advanced courses in Analysis D1.
Understanding of the basic theory of reaction-diffusion equations
reaction-diffusion equations, steady states, stability, dynamics
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
This is a standard lecture course.
Course schedule | Required learning | |
---|---|---|
Class 1 | Reaction-diffusion models | Details will be provided during each class session. |
Class 2 | Characteristic solutions for reaction-diffusion equations | Details will be provided during each class session. |
Class 3 | Fundamental properties of scaler reaction-diffusion equtions | Details will be provided during each class session. |
Class 4 | Scalar reaction-diffusion equations on bounded domains | Details will be provided during each class session. |
Class 5 | Scalar reaction-diffusion equations on intervals | Details will be provided during each class session. |
Class 6 | Fujita equation | Details will be provided during each class session. |
Class 7 | Fisher 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.
Not required
Reaction-diffusion equations, Eiji Yanagida, University of Tokyo Press
Report (100%)
Not required
yanagida[at]math.titech.ac.jp