Partial Differential Equations

Many fundamental laws of physics and chemistry can be formulated as ordinary or partial differential equations. In the social sciences, mechanics, optimization, control theory, economics and life sciences, differential equations and systems of differential equations are often used to model the behavior of complicated systems.

Example of possible thesis projects:

• Management strategies for hydropower plants
• Harvesting strategies and stability of fish population
• Analysis of vibration in rotor systems
• Hidden chaos in a Jeffcott rotor with clearance
• The p-Laplace equation and the stochastic game tug-of-war
• Growth of viscosity subsolutions of nonlinear PDEs in unbounded cylinders
• Existence and uniqueness of solutions to systems of PDEs related to optimization

You may choose to work mainly with the application or with the mathematical theory, or both. If interested, contact: