Applied Wave Mathematics II : Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity. 1st ed. 2019

種類:

電子ブック

責任表示:

edited by Arkadi Berezovski, Tarmo Soomere

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2019

著者名:

• Berezovski, Arkadi.
• Soomere, Tarmo.
• SpringerLink (Online service)

シリーズ名:

Mathematics of Planet Earth ; 6

ISBN:

9783030299514 [3030299511]    

注記:

CENS, CMA and the CENS-CMA Project -- Waves in Solids -- Overview -- Deformation Waves in Solids -- The Perturbation Technique for Wave Interaction in Prestressed Material -- Waves in Inhomogeneous Solids -- Mesoscopic Theory -- Overview -- Dynamics of Internal Variables from the Mesoscopic Background for the Example of Liquid Crystals and Ferrofluids -- Towards a Description of Twist Waves in Mesoscopic Continuum Physics -- Exploiting the Dissipation Inequality -- Overview -- Weakly Nonlocal Non-equilibrium Thermodynamics – Variational Principles and Second Law -- Waves in Fluids -- Overview -- Long Ship Waves in Shallow Water Bodies -- Modelling of Ship Waves from High-speed Vessels -- New Trends in the Analytical Theory of Long Sea Wave Runup -- Mathematical Methods -- Overview -- The Pseudospectral Method and Discrete Spectral Analysis -- Foundations of Finite Element Methods for Wave Equations of Maxwell Type -- An Introduction to the Theory of Scalar Conservation Laws with Spatially Discontinuous Flux F
This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended fo

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