Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics write by Ferruccio Colombini. This book was released on 2017-04-25. Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics available in PDF, EPUB and Kindle. The book collects the most relevant results from the INdAM Workshop "Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics" held in Rome, September 14-18, 2015. The contributions discuss recent major advances in the study of nonlinear hyperbolic systems, addressing general theoretical issues such as symmetrizability, singularities, low regularity or dispersive perturbations. It also investigates several physical phenomena where such systems are relevant, such as nonlinear optics, shock theory (stability, relaxation) and fluid mechanics (boundary layers, water waves, Euler equations, geophysical flows, etc.). It is a valuable resource for researchers in these fields.
Geometric Optics for Surface Waves in Nonlinear Elasticity
Geometric Optics for Surface Waves in Nonlinear Elasticity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Optics for Surface Waves in Nonlinear Elasticity write by Jean-François Coulombel. This book was released on 2020-04-03. Geometric Optics for Surface Waves in Nonlinear Elasticity available in PDF, EPUB and Kindle. This work is devoted to the analysis of high frequency solutions to the equations of nonlinear elasticity in a half-space. The authors consider surface waves (or more precisely, Rayleigh waves) arising in the general class of isotropic hyperelastic models, which includes in particular the Saint Venant-Kirchhoff system. Work has been done by a number of authors since the 1980s on the formulation and well-posedness of a nonlinear evolution equation whose (exact) solution gives the leading term of an approximate Rayleigh wave solution to the underlying elasticity equations. This evolution equation, which is referred to as “the amplitude equation”, is an integrodifferential equation of nonlocal Burgers type. The authors begin by reviewing and providing some extensions of the theory of the amplitude equation. The remainder of the paper is devoted to a rigorous proof in 2D that exact, highly oscillatory, Rayleigh wave solutions uε to the nonlinear elasticity equations exist on a fixed time interval independent of the wavelength ε, and that the approximate Rayleigh wave solution provided by the analysis of the amplitude equation is indeed close in a precise sense to uε on a time interval independent of ε. This paper focuses mainly on the case of Rayleigh waves that are pulses, which have profiles with continuous Fourier spectrum, but the authors' method applies equally well to the case of wavetrains, whose Fourier spectrum is discrete.
Self-Exciting Fluid Dynamos
Self-Exciting Fluid Dynamos - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Self-Exciting Fluid Dynamos write by Keith Moffatt. This book was released on 2019-04-25. Self-Exciting Fluid Dynamos available in PDF, EPUB and Kindle. Exploring the origins and evolution of magnetic fields in planets, stars and galaxies, this book gives a basic introduction to magnetohydrodynamics and surveys the observational data, with particular focus on geomagnetism and solar magnetism. Pioneering laboratory experiments that seek to replicate particular aspects of fluid dynamo action are also described. The authors provide a complete treatment of laminar dynamo theory, and of the mean-field electrodynamics that incorporates the effects of random waves and turbulence. Both dynamo theory and its counterpart, the theory of magnetic relaxation, are covered. Topological constraints associated with conservation of magnetic helicity are thoroughly explored and major challenges are addressed in areas such as fast-dynamo theory, accretion-disc dynamo theory and the theory of magnetostrophic turbulence. The book is aimed at graduate-level students in mathematics, physics, Earth sciences and astrophysics, and will be a valuable resource for researchers at all levels.
Applied Mechanics Reviews
Applied Mechanics Reviews - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applied Mechanics Reviews write by . This book was released on 1970. Applied Mechanics Reviews available in PDF, EPUB and Kindle.
Recent Advances in PDEs: Analysis, Numerics and Control
Recent Advances in PDEs: Analysis, Numerics and Control - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Advances in PDEs: Analysis, Numerics and Control write by Anna Doubova. This book was released on 2018-11-02. Recent Advances in PDEs: Analysis, Numerics and Control available in PDF, EPUB and Kindle. This book contains the main results of the talks given at the workshop “Recent Advances in PDEs: Analysis, Numerics and Control”, which took place in Sevilla (Spain) on January 25-27, 2017. The work comprises 12 contributions given by high-level researchers in the partial differential equation (PDE) area to celebrate the 60th anniversary of Enrique Fernández-Cara (University of Sevilla). The main topics covered here are: Control and inverse problems, Analysis of Fluid mechanics and Numerical Analysis. The work is devoted to researchers in these fields.
