Digest of the Non Linear Science Network, Volume 1, Number 6 June 1, 2002 Today's editor: Angel Jorba Today's topics: Masters Course in Complex Fluids at Aberystwyth Workshop, Dynamical Systems Methods in Nonlinear Wave Equations PhD Scolarship, Norwegian University of Science and Technology Submissions to nls-net must be addressed to: Comments and suggestions are also welcome. General information about nls-net can be found at: http://www.maia.ub.es/cgi-bin/mailman/listinfo/nls-net/ This is a service created and maintained in collaboration with the American Institute of Mathematical Sciences (AIMS) http://www.aimsciences.org/ ------ Subject: Masters Course in Complex Fluids at Aberystwyth From: T. N. Phillips Date: Mon, 20 May 2002 11:19:42 +0100 M.Sc. in Mathematics Complex Fluids: Modelling, Simulation and Industrial Applications The Department of Mathematics at the University of Wales Aberystwyth has received funding from the EPSRC for a new Masters level course in Complex Fluids. The Applied Mathematics Group has an international reputation in the study of complex fluids and enjoys strong links with industrial companies. There are several studentships available. Informal enquiries may be made to the Departmental Postgraduate Admissions Officer, Dr. V. C. Mavron (vcm@aber.ac.uk, 01970 622766) or the Course Director, Professor T. N. Phillips (tnp@aber.ac.uk, 01970 622769). An understanding of the properties and behaviour of complex fluids is a necessary prerequisite for many industrial processes such as injection moulding, blow moulding, extrusion, coating and fibre spinning in the polymer industry, and many similar processes in the food industry that are used in producing a wide range of processed foods. There are also applications of complex fluids in the oil industry where an understanding of the rheological behaviour of fluids is important in drilling, enhanced oil recovery and in lubrication processes. Add to these the detergent industry, the pharmaceutical industry and a growing interest in medicine (for example, the properties of blood flow in the human body), and one can see that rheology impinges very significantly on numerous aspects of modern life. The study of complex fluids is an interdisciplinary research field which calls upon engineering, physical chemistry, physics and mathematics. The study of complex fluids is important in many applications in science and engineering especially with the plethora of new materials and products being designed, produced and processed today. Professor T.N. Phillips Department of Mathematics, University of Wales, Aberystwyth, SY23 3BZ, U.K. ------ Subject: Workshop, Dynamical Systems Methods in Nonlinear Wave Equations From: Vassilis Rothos Date: Mon, 20 May 2002 13:20:03 +0100 WORKSHOP DYNAMICAL SYSTEMS METHODS IN NONLINEAR WAVE EQUATIONS Center of Nonlinear Mathematics and its Applications Loughborough University, UK Thursday 4th- Friday 5th July 2002 The purpose of the workshop is to focus attention upon certain famous and still outstanding open problems in nonlinear waves: Bifurcation phenomena in PDEs-Applications, Stability of multi-bump pulses and wavetrains, Invariant tori and periodic orbits for PDEs, Solitons and breathers in nonlinear lattices. The connections with other problems in mathematics and the applied sciences is a central theme of the planned workshop. Provisional timetable is from 10.00-18.00 (Thursday) and 10.00-17.00 (Friday). Organizers: Vassilis Rothos & Roger Grimshaw Sponsored by the LMS and the EPSRC Invited speakers: D. Bambusi (University of Milan, Italy). A. Doelman (University of Amsterdam, The Netherlands). E. Doktorov (B.I. Stepanov Institute of Physics, Minsk, Belarus). J.C. Eilbeck (Heriot--Watt University, UK). J. Engelbrecht (Est. Acad. Sci, Tallinn, Estonia). M. Groves (Loughborough University, UK). G. Iooss (INLN, Nice, France). D. Pelinovsky (McMaster University, Canada). E. Pelinovsky (IAP, NN, Russia). B. Sandstede (Ohio State University, USA). S. Turitsyn (Aston University, UK) A. Yew (Ohio State University, USA). Registration for the workshop is free. Spaces are limited, so early registration is encouraged. Further details and updated information can be found on our web page at http://www.lboro.ac.uk/departments/ma/events/waves_2002/Waves2002.htm ------ Subject: PhD Scolarship, Norwegian University of Science and Technology From: Arvid Nass Date: Mon, 27 May 2002 17:04:43 +0200 The Department of Mathematical Sciences, NTNU, offers a three year doctoral scholarship within the field of nonlinear dynamic systems. The research work is focused mainly on a theoretical and numerical investigation of the interrelationship between chaotic and stochastic response of nonlinear dynamic systems. Initial results indicate the possibility of developing numerical solution techniques that can be used to predict chaotic behaviour of deterministic systems by introducing Gaussian white noise as an additional excitation process. The presence of white noise as an additional excitation makes it possible to express the response process as a (component of a) Markov diffusion process, which satisfies a stochastic differential equation. In recent years a numerical solution technique based on what is known as the principle of path integration (PI) has been developed for calculating the response statistics of nonlinear dynamic systems driven by white noise. The PI technique has turned out to be well suited for the purpose of calculating the quantities that may be relevant for investigating the relationship between chaotic and stochastic response. This opens the door for the development of alternative techniques of analysis of chaotic response of nonlinear dynamic systems. We are looking for a candidate who's main background is within one (or more) of the following areas: 1) Dynamic systems, 2) Stochastic processes, 3) Numerical analysis, and who has some knowledge of the others. For more information about this position and how to apply, please contact Professor Arvid Naess, tlf. +47 735 97053, or Email: arvidn@math.ntnu.no. The application deadline is June 28, 2002. ------