Class at Faculty of Mathematics and Physics |
NMMO536
Syllabus
1. Physical background.
2. Mathematical preliminaries.
3. A priori estimates.
4. Variational solutions.
5. Pressure estimates.
6. Fundamental ideas presented on the weak compactness problem.
7. Construction of approximation of solutions.
8. Limit passages -- existence of a solution.
Annotation
Foundations of mathematical theory of dynamics of viscous compressible fluids. Introduction of basic mathematical concepts -- function spaces and other tools from functional analysis.
Discussion of simple models and the existence of variational solutions.