3 edition of Mathematical studies in nonlinear wave propagation found in the catalog.
Mathematical studies in nonlinear wave propagation
NSF-CBMS Regional Research Conference on Mathematical Methods in Nonlinear Wave Propagation (2002 North Carolina A&T State University)
Includes bibliographical references
|Statement||Dominic P. Clemence, Guoqing Tang, editors|
|Series||Contemporary mathematics -- 379, Contemporary mathematics (American Mathematical Society) -- v. 379|
|Contributions||Clemence, Dominic P., 1959-, Tang, Guoqing, 1959-|
|LC Classifications||QA927 .N74 2002|
|The Physical Object|
|Pagination||x, 211 p. :|
|Number of Pages||211|
|LC Control Number||2005041238|
The SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest, focusing on the subjects of physical, engineering, financial, and life sciences. Learn more about SIAM's founding journal and how to submit your work, or subscribe to the journal. Nonlinear Case 67 Canonical Form of a Second-Order PDE 70 Riemann's Method of Integration 73 Problems CHAPTER THREE The Wave Equation PART I ONE-DIMENSIONAL WAVE EQUATION 85 Factorization of the Wave Equation and Characteristic Curves 85 Vibrating String as a Combined IV and B V Problem 90 D'Alembert's Solution to the IV Problem
1. Introduction. Nonlinear water waves are one of the important research objects in the field of coastal and ocean engineering,which plays a critical role in the prediction of working performance regarding offshore and deep-water structures such as marine vessels, floating offshore platforms, wave energy converters and floating wind is imperative to develop an efficient, accurate. 11 minutes ago Propagation of nonlinear waves in waveguides is a field that has received an ever increasing interest in the last few decades. , HostName: problem for the unloaded cylindrical guide; there the boundary condition is that 3 must be zero when r = .
Reviews: Interesting and welcome little book provides an excellent introduction to the mathematics of linear wave propagation This book provides a good introduction to the fascinating topic of linear wave propagation for a reader who has a sound mathematical background but no special familiarity with either the physical or mathematical aspects of wave propagation phenomena. One of the most methodical treatments of electromagnetic wave propagation, radiation, and scatteringincluding new applications and ideas Presented in two parts, this book takes an analytical approach on the subject and emphasizes new ideas and applications used today. Part one covers fundamentals of electromagnetic wave propagation, radiation, and scattering. It provides ample end .
Improving Americas health
Cases on property
future of the diminished responsibility defence to murder
rise of Chingis Khan and his conquest of North China
The moral judgement of the child
The Maple City Creamery and Cold Storage
Bicyclings best tours
The book is suitable for a diverse audience of mathematical specialists interested in fiber optic communications and other nonlinear phenomena. It is also suitable for engineers and other scientists interested in the mathematics of nonlinear wave propagation. Free Online Library: Mathematical studies in nonlinear wave propagation; proceedings.(Brief Article, Book Review) by "SciTech Book News"; Publishing industry Library and information science Science and technology, general Books Book reviews.
Recent Mathematical Methods in Nonlinear Wave Propagation Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), held in Montecatini Terme, Italy, May 23–31, To ensure availability of the book "Mathematics Of Wave Propagation", 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. This book constructs a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics.
It will be of immense value to researchers in areas of mathematical physics and related fields. In time dependent situations, the partial differential equations most closely associated with wave propagation are of hyperbolic type, and they may Mathematical studies in nonlinear wave propagation book either linear or nonlinear.
However, when parabolic equations are considered whicji have nonlinear terms, then they also can often be regarded as describing wave propagation in the above Cited by: 2.
Mathematical development for nonlinear wave formation and propagation in plasmas within the fluid model Introduction Nonlinear dynamics have attracted a great deal of interests during the last few decades. The studies of nonlinear wave phenomena have taken more than half a.
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.
Nonlinear guided waves are promising candidates for interrogating long waveguide-like structures as they conveniently combine high sensitivity to peculiar structural conditions (defects, quasi-static loads, instability conditions), typical of nonlinear parameters, with large inspection ranges, characteristic of wave propagation in confined media.
Introduction to Nonlinear Waves One dimensional linear equation 1 The Wave equation φtt = c2 0∇ 2φ occurs in the classical ﬁelds of acoustics, electromagneti sm and elastic-ity and many familiar “mathematical methods” were develope d on it.
The solution of the one-demensional form, () φtt −c2 0φxx = 0, is almost trivial. () Wave propagation in shape memory alloy rods under impulsive loads. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences() Undular bore transition in bi-directional conservative wave dynamics.
A mathematical model for the problem of wave diffraction by a floating fixed truncated vertical cylinder is formulated based on Boussinesq equations (BEs).
Using Bessel functions in the velocity potentials, the mathematical problem is solved for second-order wave amplitudes by applying a perturbation technique and matching conditions.
On the other hand, computational fluid dynamics (CFD. Math Horizons; Submissions to MAA Periodicals; Guide for Referees; MAA Press (an imprint of the AMS) MAA Notes; MAA Reviews.
Browse; MAA Library Recommendations; Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Meetings. MAA MathFest.
Recent Mathematical Methods in Nonlinear Wave Propagation (Lecture Notes in Mathematics) [Boillat, Guy, Dafermos, Constantin M., Lax, Peter D., Liu, Tai-Ping, Ruggeri, Tommaso] on *FREE* shipping on qualifying offers.
Recent Mathematical Methods in Nonlinear Wave Propagation (Lecture Notes in Mathematics)Author: Guy Boillat. changes, as discussed in the class on nonlinear optics.
Figure () shows the spectrum of a Gaussian pulse subject to SPM during propagation (for δ=2and normalized units). New frequency components are generated by the nonlinear process via four wave mixing (FWM). If we look at the phase of. Wave propagation in weakly nonlinear dispersive systems - Volume 2 Issue 3 - Gordon V.
Miles “ The propagation of nonlinear wave envelopes ”, J. Math. and Phys. 46 (), “ Theoretical and experimental studies of gravity wave interactions ”, Proc. Roy. Soc. Ser. A deﬁnition and to the propagation in ﬂuids like air and water. In such a case acoustics is a part of ﬂuid dynamics.
A major problem of ﬂuid dynamics is that the equations of motion are non-linear. This implies that an exact general solution of these equations is not available. Acoustics is a ﬁrst order approximation in.
The proposed methodology is not restricted to weakly nonlinear systems and can be used to accurately predict wave propagation characteristics of nonlinear structures. This study can provide good support for engineering applications, such as sound and vibration control using tunable band gaps of nonlinear PCs.
Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods.
The SIAM Journal on Applied Mathematics is the founding journal of the Society for Industrial and Applied Mathematics. The first volume of the. Get this from a library. Mathematical studies in nonlinear wave propagation: NSF-CBMS Regional Research Conference on Mathematical Methods in Nonlinear Wave Propagation, North Carolina A & T State University, Greensboro, North Carolina, May[Dominic P Clemence; Guoqing Tang;] -- "The book is suitable for a diverse audience of mathematical.
The intense coherent emission from lasers enabled the study of light propagation in nonlinear media, which spurred many important applications. More recently, the study of electromagnetic wave propagation in periodic media, where linear band structures play an important role, has advanced in new directions.
By breaking certain symmetries, such as time reversal, the medium can support so .In this paper, nonlinearity associated with intense ultrasound is studied by using the one-dimensional motion of nonlinear shock wave in an ideal fluid.
In nonlinear acoustics, the wave speed of different segments of a waveform is different, which causes distortion in the waveform and can result in the formation of a shock (discontinuity). Acoustic pressure of high-intensity waves causes.
A Unified Theory of Nonlinear Wave Propagation in Two-Layer Fluid Systems Journal of the Physical Society of Japan, Vol. 62, No. 6 Statistical and dynamical analysis of internal waves on the continental shelf of the Middle Atlantic Bight from space shuttle photographs.