Mathematical Theory of Wave Motion
Author: G. R. Baldock
Publisher:
Published: 1981
Total Pages: 272
ISBN-13:
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Wave Motion
Author: J. Billingham
Publisher: Cambridge University Press
Published: 2001-01-22
Total Pages: 476
ISBN-13: 1316583910
DOWNLOAD EBOOKWaves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.
Water Waves: The Mathematical Theory with Applications
Author: James Johnston Stoker
Publisher: Courier Dover Publications
Published: 2019-04-17
Total Pages: 593
ISBN-13: 0486839923
DOWNLOAD EBOOKFirst published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.
Mathematics of Wave Propagation
Author: Julian L. Davis
Publisher: Princeton University Press
Published: 2021-01-12
Total Pages: 411
ISBN-13: 0691223378
DOWNLOAD EBOOKEarthquakes, a plucked string, ocean waves crashing on the beach, the sound waves that allow us to recognize known voices. Waves are everywhere, and the propagation and classical properties of these apparently disparate phenomena can be described by the same mathematical methods: variational calculus, characteristics theory, and caustics. Taking a medium-by-medium approach, Julian Davis explains the mathematics needed to understand wave propagation in inviscid and viscous fluids, elastic solids, viscoelastic solids, and thermoelastic media, including hyperbolic partial differential equations and characteristics theory, which makes possible geometric solutions to nonlinear wave problems. The result is a clear and unified treatment of wave propagation that makes a diverse body of mathematics accessible to engineers, physicists, and applied mathematicians engaged in research on elasticity, aerodynamics, and fluid mechanics. This book will particularly appeal to those working across specializations and those who seek the truly interdisciplinary understanding necessary to fully grasp waves and their behavior. By proceeding from concrete phenomena (e.g., the Doppler effect, the motion of sinusoidal waves, energy dissipation in viscous fluids, thermal stress) rather than abstract mathematical principles, Davis also creates a one-stop reference that will be prized by students of continuum mechanics and by mathematicians needing information on the physics of waves.
A Modern Introduction to the Mathematical Theory of Water Waves
Author: Robin Stanley Johnson
Publisher: Cambridge University Press
Published: 1997-10-28
Total Pages: 468
ISBN-13: 9780521598323
DOWNLOAD EBOOKThis text considers classical and modern problems in linear and non-linear water-wave theory.
The Energy Method, Stability, and Nonlinear Convection
Author: Brian Straughan
Publisher: Springer Science & Business Media
Published: 2013-04-09
Total Pages: 254
ISBN-13: 1475721943
DOWNLOAD EBOOKSix new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.
Classics of Elastic Wave Theory
Author: Michael A. Pelissier
Publisher: SEG Books
Published: 2007
Total Pages: 10
ISBN-13: 1560801425
DOWNLOAD EBOOKThis volume contains 16 classic essays from the 17th to the 21st centuries on aspects of elastic wave theory.
Wave Propagation in Elastic Solids
Author: J. D. Achenbach
Publisher: Elsevier
Published: 2016-01-21
Total Pages: 440
ISBN-13: 1483163733
DOWNLOAD EBOOKWave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Stability and Wave Motion in Porous Media
Author: Brian Straughan
Publisher: Springer Science & Business Media
Published: 2008-12-10
Total Pages: 445
ISBN-13: 0387765433
DOWNLOAD EBOOKThis book describes several tractable theories for fluid flow in porous media. The important mathematical quations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer. Nonlinear wave motion in porous media is analysed. In particular, waves in an elastic body with voids are investigated while acoustic waves in porous media are also analysed in some detail. A chapter is enclosed on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media. Brian Straughan is a professor at the Department of Mathemactical Sciences at Durham University, United Kingdom.
Introduction to the Physics of Waves
Author: Tim Freegarde
Publisher: Cambridge University Press
Published: 2013
Total Pages: 311
ISBN-13: 0521197570
DOWNLOAD EBOOKBalancing concise mathematical analysis with real-world examples and practical applications, to provide a clear and approachable introduction to wave phenomena.
