Applied wave mathematics: selected topics in solids, fluids, and mathematical methods

This edited volume addresses the importance of mathematics in wave-related research, and its tutorial style contributions provide educational material for courses or seminars. It presents highlights from research carried out at the Centre for Nonlinear Studies in Tallinn, Estonia, the Centre of Mathematics forApplications in Oslo, Norway, and by visitors from the EU project CENS-CMA. The example applications discussed include wave propagation in inhomogeneous solids, liquid crystals in mesoscopic physics, and long ship waves in shallow water bodies. Other contributions focus on specific mathematical approaches, namely the pseudospectral method, the treatment of Maxwell equations, and scalar conservation laws. INDICE: CENS, CMA and the CENS-CMA Project: J.Engelbrecht et al.- Part I.Waves in Solids.- Overview: A.Berezovski.- Deformation Waves in Solids: J.Engelbrecht.- The Perturbation Technique for Wave Interaction in Prestressed Material: A.Ravasoo.- Waves in Inhomogeneous Solids: A.Berezovski et al.- Part II. Mesoscopic Theory.- Overview: W.Muschik.- Dynamics of Internal Variables from the Mesoscopic Background for the Example of Liquid Crystals and Ferrofluids: Ch.Papenfuss.- Towards a Description of Twist Waves in Mesoscopic Continuum Physics: H.Herrmann.- Part III.- Exploiting the Dissipation Inequality.- Overview: W. Muschik.- Weakly Nonlocal Non-equilibrium Thermodynamics - Variational Principles and Second Law: P.Van.- Part IV. Waves in Fluids.- Overview: T.Soomere.- Long Ship Waves in Shallow Water Bodies: T.Soomere.- Modelling of Ship Waves from High-speed Vessels: T.Torsvik.- New Trends in the Analytical Theory ofLong Sea Wave Runup: I.Didenkulova.- Part V. Mathematical Methods.- Overview:E.Quak.- The Pseudospectral Method and Discrete Spectral Analysis: A.Salupere.- Foundations of Finite Element Methods for Wave Equations of Maxwell Type: S.H.Christiansen.- An Introduction to the Theory of Scalar Conservation Laws with Spatially Discontinuous Flux Functions: N.H.Risebro.- Index

• ISBN: 978-3-642-00584-8
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 471
• Fecha Publicación: 03/09/2009
• Nº Volúmenes: 1
• Idioma: Inglés