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

2009 
CENS, CMA and the CENS-CMA Project: J.Engelbrecht, R.Winther, E.Quak.- 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, M.Berezovski, J. Engelbrecht.- 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 of Long 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
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