Thissymposiumwasorganisedtoprovidecross-linkingofresearchact- ities in the following areas of Applied Mathematics, Continuum Mechanics and Theoretical Physics: Perturbation problems for partial di?erential equations and their - plications in mechanics; Homogenisation theory in models of composite structures; Fracture. Mathematical models of cracks in solids; Wave propagation, scattering; Models of photonic and phononic band gap composite materials; Models of dislocations in lattice structures; Asymptotic and numerical models of imperfect interfaces. Thetopicscoveredinthisvolumerepresenttheresultsoftherecentwork in wave propagation and scattering, asymptotics for eigenvalue problems, analysis of localised defect modes , mathematical models of cracks and damage in solids, homogenisation approximations and models of comp- ites, modelsofplatesandshells, analysisofphysical?eldsnearnon-smooth boundaries, modelling of gas and ?uid ?ows, non-linear waves, models of combustion and advanced numerical methods. All the papers included in this volume have been carefully refereed. The Appendix, at the end of the volume, includes the complete programme of the meeting. The International Scienti?c Committee responsible for the Symposium comprised of the following: Prof. A.B. Movchan (UK) - Chairman, Prof. I.D. Abrahams (UK), Prof. A. Aslanyan (Russia), Prof. D. Bigoni (Italy), Prof. H. Gao (Germany/USA), Prof. K.Z. Markov (Bulgaria), Prof. R.C. McPhedran (Australia), Prof. J. Salencon (France), Prof. W. Wendland (Germany). On behalf of the Scienti?c Committee, I would like to acknowledge the ?nancial support for the Symposium from International Union of Theoretical and Applied Mechanics, 1 A.B. Movchan (ed.), IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, 1 2.
