Applied Mathematics Seminars Spring 2008

All seminars (unless otherwise stated) will take place on Mondays at 3.00 pm in Room 500 which is located on the 5th floor of the Mathematics Department. See Where to Find Us for further details. There will be tea afterwards in room 606.

If you require any more information on the Applied seminars please contact Professor Ted Johnson e-mail: erj AT math.ucl.ac.uk or tel: 020-7679-2854.

Extra seminar - 27 May 2008 (4.00pm Room 500) 

Professor A. Ramm - Dept. of Mathematics, Kansas State University, USA

Creating materials with a desired refraction index

Many-body scattering problem is solved asymptotically when the size of the particles tends to

zero and the number of the particles tends to infinity. A method is given for calculation of the 

number of small particles and their boundary impedances such that embedding of these particles 

in a bounded domain, filled with known material, results in creating a new material with a desired refraction coefficient. The new material may be created so that it has negative refraction, that 

is, the group velocity in this material is directed opposite to the phase velocity. Another possible application consists of creating the new material with some desired wave-focusing properies. For example, one can create a new material which scatters plane wave mostly in a fixed given solid 

angle. In this application it is assumed that the incident plane wave has a fixed frequency and 

a fixed incident direction. An inverse scattering problem with scattering data given at a fixed 

wave number and at a fixed incident direction is formulated and solved.

Please click here for CREATING MATERIALS WITH A DESIRED REFRACTION INDEX downloadable PDF for this event

Extra seminar - 28 April 2008

Professor Lev Ostrovsky - Institute of Applied Physics of Russian Acad. Sci. 

Laboratory Modeling of Hydrodynamic Motions in Upper Ocean

This presentation outlines some modern aspects of upper ocean dynamics which have been modeled in the laboratory facilities of the Institute of Applied Physics of Russian Acad. Sci. These facilities include the large thermostratified tank with a thermocline-type stratification, a closed (oval) wind tank (working section 6 m long) and some smaller installations. Among the problems to be briefly described are:

- Construction and parameters of the tanks;

- Damping of internal waves on turbulence;

- Effect of stratification on turbulent flows and wakes;

- Interaction of surface waves with current; group synchronism effect;

- Propagation of nonlinear surface wave trains;

- Cascade mechanism of ripple modulation.

When possible, experimental data will be compared with theoretical models.

Please click here for LABORATORY MODELING OF HYDRODYNAMIC MOTIONS IN UPPER OCEAN     downloadable PDF for this event

04 February 2008

Professor Roger Grimshaw - Loughborough

Long-time solutions of the Ostrovsky equation

11 February 2008


18 February 2008

Dr Peter Davidson - Cambridge

Structure formation in rotating turbulence

25 February 2008

Dr Christopher Goodyer - Leeds 

Numerical modelling of elastohydrodynamic lubrication

03 March 2008 

Professor Alexander Gorban - Leicester

Invariant manifolds for model reduction

10 March 2008

Professor Julius Kaplunov - Brunel 

Localised dynamic phenomena in elastic solids

17 March 2008

Dr Rainer Hollerbach - Leeds

Instabilities of Stewartson Layers and Taylor Columns