Diffusion of finite-size particles and application to porous media

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• Dr Maria Bruna, University of Oxford
• Monday 27 February 2017, 15:00-16:00
• Strathcona LT7.

If you have a question about this talk, please contact David Smith.

We discuss nonlinear Fokker-Planck models describing diffusion processes with particle interactions. These models are motivated by the study of many particle systems in biology, and arise as the population-level description of a stochastic particle-based model. In particular, we consider a system of impenetrable diffusing spheres and use the method of matched asymptotic expansions to obtain a systematic model reduction. In the second part of the talk, we discuss how this method can be used to derive an effective transport equation for diffusion in a disordered porous medium. A nice feature of this approach is that it can easily account for macroscopic gradients in porosity.

This talk is part of the Applied Mathematics Seminar Series series.

This talk is included in these lists:

• Applied Mathematics Seminar Series
• School of Mathematics Events
• Strathcona LT7

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