£81.50

Geometric Optics for Surface Waves in Nonlinear Elasticity (Memoirs of the American Mathematical Society)

Light, Optics & Laser

Price data last checked 102 day(s) ago - refreshing...

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

This is the most expensive it has ever been. Walk away.

£82 today · previous high £82 · all-time low £61

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 629 days • 629 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 629 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £82 (560 days, 89.0%)

Price range: £61 - £82

Price levels: 2 different prices over 629 days

Description

About the Author Jean-Francois Coulombel, Universite de Nantes, FranceMark Williams, University of North Carolina, Chapel Hill, NC Product Description 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 $u^{\varepsilon} $ to the nonlinear elasticity equations exist on a fixed time interval independent of the wavelength $\varepsilon $, and that the approximate Rayleigh wave solution provided by the analysis of the amplitude equation is indeed close in a precise sense to $u^{\varepsilon}$ on a time interval independent of $\varepsilon $. 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.

Product Specifications

Format: paperback
ASIN: 1470440377
Category: Books > Subjects > Science, Nature & Maths > Physics > Light, Optics & Laser
Domain: Amazon UK
Release Date: 30 January 2020
Listed Since: 18 December 2019

Barcode

No barcode data available

Geometric Optics for Surface Waves in Nonlinear Elasticity (Memoirs of the American Mathematical Society)

This is the most expensive it has ever been. Walk away.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Nonlinear Waves: A Geometrical Approach: 9 (Series On Analysis, Applications And Computation)

Resonant Scattering and Generation of Waves: Cubically Polarizable Layers (Mathematical Engineering)

Nonlinear Wave Equations: Analytic and Computational Techniques (Contemporary Mathematics)

Applied Wave Mathematics II: Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity: 6 (Mathematics of Planet Earth, 6)

Distributional Nonlinear Wave Equations: Well-Posedness and Stabilizability: 45 (De Gruyter Series in Nonlinear Analysis & Applications, 45)

Physics of Nonlinear Waves (Synthesis Lectures on Wave Phenomena in the Physical Sciences)

Nonlinear Dispersive Equations: Local and Global Analysis (CBMS Regional Conference Series in Mathematics)

Waves and Rays in Elastic Continua

Hyperbolic Equations and Frequency Interactions (IAS/Park City Mathematics Series)

Nonlinear Problems in Mathematical Physics and Related Topics I: In Honor of Professor O. A. Ladyzhenskaya: 1 (International Mathematical Series, 1)

Nonlinear Wave Equations (Contemporary Mathematics): A Conference in Honor of Walter a. Strauss on the Occasion of His Sixtieth Birthday, May 2-3, 1998, Brown University

An Inverse Spectral Problem Related to the Geng-Xue Two-Component Peakon Equation (Memoirs of the American Mathematical Society)

Rays, Waves & Scattering: Topics in Classical Mathematical Physics (Princeton Series in Applied Mathematics): 56

Longwave Instabilities and Patterns in Fluids (Advances in Mathematical Fluid Mechanics)

Advances in Harmonic Analysis and Partial Differential Equations (Trends in Mathematics)

Handbook of Differential Equations:Evolutionary Equations (Handbook of Differential Equations: Evolutionary Equations): Volume 5

Elastic Waves at High Frequencies: Techniques for Radiation and Diffraction of Elastic and Surface Waves (Cambridge Monographs on Mechanics)

Nonlinear Dispersive Equations: Existence and Stability of Solitary and Periodic Travelling Wave Solutions (Mathematical Surveys and Monographs): 156

Shock Waves and Reaction―Diffusion Equations: 258 (Grundlehren der mathematischen Wissenschaften, 258)

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena (Contemporary Mathematics): The 2008-2009 Research Program on Nonlinear Partial ... Academy of Science and Letters Oslo, Norway

Pulses and Other Wave Processes in Fluids: An Asymptotical Approach to Initial Problems: 13 (Modern Approaches in Geophysics, 13)

Shock Waves and Reaction―Diffusion Equations: 258 (Grundlehren der mathematischen Wissenschaften, 258)

Lectures on Nonlinear Evolution Equations: Initial Value Problems

Mathematics of Wave Propagation