## 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 a 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 a downloadable PDF for this event

### 04 February 2008

Professor Roger Grimshaw - Loughborough

###### Long-time solutions of the Ostrovsky equation

### 11 February 2008

READING WEEK - NO SEMINAR

### 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

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