London Taught Course Centre for students in mathematical sciences

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LTCC intensive courses take place over two days. Each course is free and open to both students and practitioners. To register, please complete the registration form.

The courses are taught by experts in their respective fields, all working on new research in hot topics in mathematics and the physical sciences.


Intensive Courses 2017-2018 


Thin Liquid Free-Surface Layers - Dr Bernhard Scheichl


Tuesday 7 November 2017, 13.00-17.00: Institute of Education, 20 Bedford Way, WC1H 0AL. Room 784 (7th floor)


Wednesday 8 November 2017, 9.00-13.00: Institute of Education, 20 Bedford Way, WC1H 0AL. Room 537 (5th floor)



Shallow layers of Newtonian liquids exhibiting a free surface are ubiquitous in nature and engineering applications. The two essential disparate streamwise length scales allow for an rigorous asymptotic approach: a streamwise one and a comparatively small typical thickness of the film. The magnitudes of the governing Reynolds, the Froude, and the Weber number, all formed with appropriate reference quantities, introduce further perturbation parameters. Hence, our focus is on single-phase planar or axisymmetric layers over horizontal rigid plates under the action of gravity acting vertically and surface tension at moderate to large Reynolds numbers; effects as resonant gravity waves in two stratified layers of different densities are touched briefly. Specific emphasis is laid on (super-)critical flows exhibiting a boundary layer and, as a more realistic scenario,
developed ones passing the edge of the plate. Viscosity (in combination with a slight plate topography) accounts for the inevitable upstream influence at finite Froude numbers, which may lead to instabilities and the formation of hydraulic jumps. Here the plate edge provides a second source for developed layers so that the intricate combination of both closes a self-consistent flow description. The course surveys earlier and, referring to the last scenario, quite recent findings.



Combustion Theory - Dr Joel Daou


Tuesday 20 March 2018, 9.00-13.00: Department of Mathematics, University College London, 25 Gordon Street, London, WC1H 0AY. (Room 707, 7th Floor)


Wednesday 21 March 2018, 13.00-17.00: Department of Mathematics, University College London, 25 Gordon Street, London, WC1H 0AY. (Room 706, 7th Floor)



The course introduces essential modelling concepts and solution methods used in combustion theory. It is ideal for PhD students, postdocs, and researchers in other fields who wish to have a no-frills pedagogical deep introduction to the subject. The knowledge and skills to be gained should allow the attendees to formulate and solve, mostly analytically, a variety of non-linear problems involving reactive flows, and prepare them to initiate research investigation on scientific topics encountered e.g. in the automobile and aeronautic industries, the energy production sector, and the field of environmental pollution.


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