Applications of Nonlinear Diffusion Equations

Nonlinear diffusion equations can be used to describe processes and behaviours in fields as diverse as biology, heat transfer, ground water modelling, industrial processes, chemical reactions, and mathematical physics. This workshop will focus on two aspects: first, the use of nonlinear equations in modelling various physical problems, in particular in the areas of ground water flow, math biology, and math physics; and second, the use of symmetry techniques to find useful analytic solutions to these types of models.