Nonlinear PDE models in life and social sciences

11 Jul 2018, 10:30
New Law School/--100 (University of Sydney)

New Law School/--100

University of Sydney



Nonlinear PDE models in life and social sciences

  • Helene Ranetbauer (University of Vienna)
  • Jan Haskovec (KAUST, KSA)


In the last years, there has been a fast development in the PDE (partial differential equation) models applied to life and social sciences. The models are typically derived from microscopic approaches like individual or lattice based models, discrete network structures, or based on fundamental physical laws. They usually exhibit an underlying energy structure, being gradient flows with respect to a suitable metric, which makes them an attractive object for mathematical research. Despite many recent advances in their study, important questions concerning for instance well-posedness or efficient numerical approximation remain open. The main objective of this minisymposium is to bring together experts working in the respective areas of PDE modelling, focusing on applications in pedestrian dynamics, crowded transport phenomena, cell movement and biological network formation.
The presentations will include analytical aspects, modelling problems and numerical results. More specifically, they will range from gradient flow theory on the micro- and macroscopic level, dynamics on discrete networks, derivation of the corresponding mean-field limits to efficient numerical methods. The speakers will report on the newest progress in their fields, exchange ideas and highlight novel mathematical problems.

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