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MA8004 - Selected Topics in Applied Analysis

Offering Academic Unit
Department of Mathematics
Credit Units
3
Course Duration
One Semester
Course Offering Term*:
Semester A 2024/25

* The offering term is subject to change without prior notice
 
Course Aims

This course aims to introduce research students to three active fields of research about partial differential equations depending on a parameter, which may go either to zero or to plus infinity, namely: 
Asymptotic analysis
Homogenization
Penalization
This will be done by studying four fundamental boundary value problems in applied mathematics, which also have numerous real-life applications:
1. Stokes equations: existence, uniqueness, and asymptotic analysis in infinite cylinders,
2. Elasticity equations: existence, uniqueness, and asymptotic analysis in thin plates, 
3. Diffusion equation: existence, uniqueness, and homogenization,
4. Obstacle problems: existence, uniqueness, and penalization.
The course is self-contained, save for basic theorems about Sobolev spaces. 

Assessment (Indicative only, please check the detailed course information)

Continuous Assessment: 50%
Examination: 50%
Examination Duration: 3 hours
 
Detailed Course Information

MA8004.pdf

Useful Links

Department of Mathematics