Academic Training Programme
Summer School on Bifurcation and Instabilities in Interfacial Complex Fluid Flows, June 21--July 2, 2010, El Escorial, Madrid. Organised by Serafim Kalliadasis, Uwe Thiele (Univ. Loughborough) and Edgar Knobloch (UC at Berkeley), http://www.multiflow-itn.eu/el_escorial_2010.html
Advanced School on ``Thin Films of Soft Matter", International Centre for Mechanical Sciences, Udine, Italy, July 18-22, 2005, http://www.iutam.org/iutam/Events/index.php/10/2005
Dynamical Systems in Chemical Engineering - CE4-09
To develop a fundamental understanding of nonlinear dynamical systems which in turn are key to understanding of complex phenomena both in nature and in a variety of technological processes in chemical and biological engineering.
The objective of this course is to introduce, develop and apply the basic elements of modern mathematical techniques in particular those of nonlinear dynamics, pattern formation and bifurcation theory. The aim is to expose the students to the basic analytical and numerical tools required for understanding of nonlinear dynamical systems that exhibit complex dynamics in time and/or space. More specifically: multiple coexisting states and hysteresis, onset of oscillations, and aperiodic and chaotic behaviour.
Examples include applications from chemical and biological engineering such as kinetics of autocatalytic and enzyme reactions, exothermic processes and population dynamics. Many such phenomena can be described by relatively simple representative equations that retain essential features of the system, and can be applied for qualitative description of various phenomena in problems of different origin.
Towards the end of the course, some advanced topics are covered, e.g. chaotic dynamical systems and stochastic processes.
Mathematics 1 - CE1-07
This course introduces mathematics as a logical and structured discipline. It aims to ensure that all students acquire the mathematical knowledge and skills required for their first year chemical engineering courses. The course provides a basis for the more advanced mathematical techniques required in later years of the course.