Introduction to Hydrodynamic Stability
Supervisor: Sergey Suslov
Description: Various fluid flows surround us in everyday life. It is amazing how different they can be even if the conditions in which they occur seem to be very similar. You fill a pot with water and put it on a cook-top to boil. Water stays still for a while, but all of a sudden it starts moving, some rising, some sinking. You are hosing the garden and the water jet is almost perfectly round near the nozzle. Why does it break a few centimetres away from it? You are bored painting a fence: so tedious. Why doesn't the paint flow smoothly all along the paling if poured on it from top? All these examples are illustrations of phenomena known as hydrodynamic instabilities. Modern mathematics can predict and explain them. In this course you will be able to learn how.
Prerequisites: You should be fluent with the material of at least the following courses: "Mathematical Modelling for Dynamics", "Vector Calculus and Mathematical Modelling of Fluid Flows", "Partial Differential Equations". Working knowledge of LaTeX and of programming languages ("Fortran" or "C") or "Matlab" (or similar) as well as symbolic software ("Maple", "Mathematica", "Reduce" or similar) can be of help.
Main text: Introduction to Hydrodynamic Stability by P.G. Drazin, CUP 2002
Some potential study topics
| What is Maths? Ron Addie | Attitude and belief Patricia Cretchley | Computer Algebra Ed Patricia Cretchley | Assessment issues Patricia Cretchley |
| Education research? Patricia Cretchley | Bridge gaps Patricia Cretchley | Gender equity Patricia Cretchley | Teaching geometry Patricia Cretchley |
| Math history Patricia Cretchley | Gen Lin Models Peter Dunn | Bayesian stats Paul Fahey | Survey sampling Ashley Plank |
| Maths Methods Tony Roberts | Quantum Computing Tony Roberts | Water waves Tony Roberts | Games theory Tony Roberts |
| Parallel numerics Tony Roberts | Hydro stability Sergey Suslov | Math Biology Sergey Suslov | Banach spaces Oleksiy Yevdokimov |
| Fundamental Maths Education Oleksiy Yevdokimov | Number history Oleksiy Yevdokimov |