A graduate course of Fluid Dynamical Systems has been introduced by Rui A. P. Perdigão at TU Wien, Austria, where the lectures are held. Rui Perdigão’s course is also available in condensed form through international workshops and seminar series booked in advance, directly with Rui Perdigão or through Meteoceanics Education.
The general course program encompasses a brief review on fluid dynamics and physics of complexity, then progressing to an in-depth presentation of the recent fundamental contributions from the coordinator, shaping this field into its present unified form:
Fluid Dynamical Systems entail a generalised class of dynamical systems beyond the classical stochastic-deterministic paradigms, bringing out a unified mathematical physics of complexity and fluids, advancing theoretical thermodynamics, analytical mechanics, information theory and differential geometry in a unified framework.
Scientific applications range across the dynamics and predictability of complex systems, from quantum electrohydrodynamics to the coevolutionary earth system and astrophysical dynamical systems, shedding fundamental mechanisms and governing principles across spatiotemporal scales.
Special relevance arises from its central role in providing fundamental physical understanding and dynamic predictability to critical phenomena such as extreme events, including “black swan” behaviour unforeseen from past data records and from the ensemble of possibilities spun by classical dynamical system theories.
Mathematical applications range from advancing the kinematic geometry of space-time manifolds to the non-local differential geometry of fractal structures, and providing a more fundamental analytical background to probability theory, nonlinear statistics and information theory.
Engineering applications include dynamic model design and decision support in the wake of environmental hazards and fluid-structure interaction challenges in a coevolutionary world. Moreover, they include structural-functional design and traffic optimisation for telecommunication and transportation networks.
The promotional poster for the course is presented below:
For further information: