B5.2 Applied Partial Differential Equations and B5.3 Viscous Flow recommended.
The aim of the course is to illustrate the techniques of mathematical modelling in their particular application to environmental problems. The mathematical techniques used are drawn from the theory of ordinary differential equations and partial differential equations. The course requires a willingness to become familiar with a range of different scientific disciplines. In particular, familiarity with the concepts of fluid mechanics will be useful.
Prof. Ian Hewitt
Students will have developed a sound knowledge of some of the models studied in mathematical geoscience. They will also get exposure to some modern research topics in the field.
Applications of mathematics to environmental or geophysical problems involving the use of models with ordinary and partial differential equations. Examples to be considered are:
- Climate dynamics (radiative balance, greenhouse effect, ice-albedo feedback, carbon cycle)
- River flows (conservation laws, flood hydrographs, St Venant equations, sediments transport, bed instabilities)
- Glacier dynamics (non-Newtonian flow, mass balance, hydrology, glacier surges)