Structure And Dynamics Of Nonlinear Waves In Fluids Proceedings Of The Iutam Isimm Symposium

Author : Kirchgassner K,Mielke Alexander
Publisher : World Scientific
Page : 428 pages
File Size : 41,9 Mb
Release : 1995-08-31
Category : Electronic
ISBN : 9789814549776

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Structure And Dynamics Of Nonlinear Waves In Fluids: Proceedings Of The Iutam/isimm Symposium by Kirchgassner K,Mielke Alexander Pdf

This symposium brought together mechanicians, physicists and applied mathematicians to discuss the interdisciplinary topic of nonlinear wave motion, which displays effects that give rise to a multitude of unanswered questions. Nonlinear waves in fluids in particular display all the prominent nonlinear phenomena such as chaos, turbulence and pattern formation. Amongst the topics emphasized in these proceedings are: travelling fronts, solitary waves and periodic waves (dissipative and conservative); temporal and spatial asymptotics of perturbations of waves; bifurcations, stability and local dynamics of waves; interaction between different waves, and between waves and the mean flow; wave breaking, nonlinear effects on focussing and diffraction; modulation and envelope equations (their derivation and validity); and numerical and experimental results.

Author : Alexander Mielke,K. Kirchgässner
Publisher : World Scientific Publishing Company Incorporated
Page : 418 pages
File Size : 42,9 Mb
Release : 1995
Category : Science
ISBN : 981022124X

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Proceedings of the IUTAM/ISIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids by Alexander Mielke,K. Kirchgässner Pdf

Author : A.C. King,Y.D. Shikhmurzaev
Publisher : Springer Science & Business Media
Page : 371 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401007962

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IUTAM Symposium on Free Surface Flows by A.C. King,Y.D. Shikhmurzaev Pdf

Free surface flows arise in the natural world, physical and biological sciences and in some areas of modern technology and engineering. Exam ples include the breaking of sea waves on a harbour wall, the transport of sloshing fluids in partly filled containers, and the design of micronozzles for high speed ink-jet printing. Apart from the intrinsic mathematical challenge in describing and solving the governing equations, there are usually important environmental, safety and engineering features which need to be analysed and controlled. A rich variety of techniques has been developed over the past two decades to facilitate this analysis; singular perturbations, dynamical systems, and the development of sophisticated numerical codes. The extreme and sometimes violent nature of some free surface flows taxes these methods to the limit. The work presented at the symposium addressed these limits and can be loosely classified into four areas: (i) Axisymmetric free surface flows. There are a variety of problems in the printing, glass, fertiliser and fine chemical industries in which threads of fluid are made and controlled. Presentations were made in the areas of pinch-off for inviscid and viscous threads of fluid, recoil effects after droplet formation and the control of instability by forced vibration. (ii) Dynamic wetting. The motion of three phase contact lines, which are formed at the junction between two fluids and a solid, plays an important role in fluid mechanics.

Author : Guido Schneider,Hannes Uecker
Publisher : American Mathematical Soc.
Page : 575 pages
File Size : 55,8 Mb
Release : 2017-10-26
Category : Differential equations, Nonlinear
ISBN : 9781470436131

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Nonlinear PDEs: A Dynamical Systems Approach by Guido Schneider,Hannes Uecker Pdf

This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs. The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrödinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given. The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.

Author : A. Doelman
Publisher : American Mathematical Soc.
Page : 122 pages
File Size : 45,7 Mb
Release : 2009
Category : Approximation theory
ISBN : 9780821842935

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The Dynamics of Modulated Wave Trains by A. Doelman Pdf

The authors investigate the dynamics of weakly-modulated nonlinear wave trains. For reaction-diffusion systems and for the complex Ginzburg-Landau equation, they establish rigorously that slowly varying modulations of wave trains are well approximated by solutions to the Burgers equation over the natural time scale. In addition to the validity of the Burgers equation, they show that the viscous shock profiles in the Burgers equation for the wave number can be found as genuine modulated waves in the underlying reaction-diffusion system. In other words, they establish the existence and stability of waves that are time-periodic in appropriately moving coordinate frames which separate regions in physical space that are occupied by wave trains of different, but almost identical, wave number. The speed of these shocks is determined by the Rankine-Hugoniot condition where the flux is given by the nonlinear dispersion relation of the wave trains. The group velocities of the wave trains in a frame moving with the interface are directed toward the interface. Using pulse-interaction theory, the authors also consider similar shock profiles for wave trains with large wave number, that is, for an infinite sequence of widely separated pulses. The results presented here are applied to the FitzHugh-Nagumo equation and to hydrodynamic stability problems.

Author : Anonim
Publisher : Unknown
Page : 812 pages
File Size : 50,6 Mb
Release : 2000
Category : Mathematics
ISBN : UVA:X006088714

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Mathematical Reviews by Anonim Pdf

Author : H.-C. Chang
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 44,6 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9789401719964

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IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow by H.-C. Chang Pdf

The active field of multi-phase flow has undergone fundamental changes in the last decade. Many salient complex interfacial dynamics of such flows are now understood at a basic level with precise mathematical and quantitative characterization. This is quite a departure from the traditional empirical approach. At an IUTAM Symposium at Notre Dame, in 1999, some of the leading researchers in the field gathered to review the progress thus far and to contemplate future directions. Their reports are summarized in this Proceedings. Topics covered include solitary wave dynamics on viscous film flows, sheet formation and drop entrainment in stratified flow, wetting and dewetting dynamics, self-similar drop formation dynamics, waves in bubbly and suspension flow, and bubble dynamics. It is a unique and essential reference for applied mathematicians, physicists, research engineers, and graduate students to keep abreast of the latest theoretical and numerical developments that promise to transform multi-phase flow research.

Author : International Union of Theoretical and Applied Mechanics
Publisher : Unknown
Page : 192 pages
File Size : 48,6 Mb
Release : 1995
Category : Mechanics, Applied
ISBN : UIUC:30112018080926

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Report by International Union of Theoretical and Applied Mechanics Pdf

Author : Anonim
Publisher : Unknown
Page : 840 pages
File Size : 43,9 Mb
Release : 1996
Category : Mechanics, Applied
ISBN : UIUC:30112046050990

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Applied Mechanics Reviews by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1044 pages
File Size : 40,7 Mb
Release : 1995
Category : American literature
ISBN : UOM:39015079622737

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American Book Publishing Record by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 334 pages
File Size : 54,6 Mb
Release : 1997
Category : Research
ISBN : 9282805743

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Scientific Cooperation of the European Union with the Countries of South-East Asia by Anonim Pdf

Author : New York Public Library Staff
Publisher : Macmillan Reference USA
Page : 684 pages
File Size : 53,5 Mb
Release : 1996-07
Category : Reference
ISBN : 0783813201

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Bibliographic Guide to East Asian Studies by New York Public Library Staff Pdf

An aid for reseaching non-western cultures, the Bibliographic Guide to East Asian Studies covers Japan, China, North and South Korea, Honk Kong, and Taiwan, with approximately 3,500 listings from LC MARC tapes and the Oriental Division of The New York Public Library. It includes publications about East Asia; materials published in any of the relevant countries; and publications in the Chinese, Japanese and Korean languages. Listings are transcribed into Anglicised characters. Each entry provides complete bibliographic information, along with the NYPL and/or LC call numbers.

Author : Shigeki Morioka,Leen van Wijngaarden
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401100571

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IUTAM Symposium on Waves in Liquid/Gas and Liquid/Vapour Two-Phase Systems by Shigeki Morioka,Leen van Wijngaarden Pdf

A IUTAM symposium on 'Waves in Liquid/Gas and Liquid/Vapor Two-Phase Systems' was held in Kyoto, Japan, 9-13 May 1994. Sixty-three scientists partici pated coming from ten countries, and forty-two lectures were presented. The list of participants and the program are included in this volume. The symposium was held in response to the request of the participants in the IUTAM symposium 'Adiabatic Waves in Liquid-Vapor System' held at Gottingen in 1989. At that time, the need for another symposium in about five years had been indicated by all the participants. This symposium intends to develop the subject of wave properties in more general liquid-gas two-phase systems. Topics in this symposium may be classified as (1) waves in liquid-gas bubble systems including interfacial effects, (2) waves in gas( vapor )-droplets systems, (3) waves in films or stratified systems, (4) waves with liquid-vapor transition, (5) waves with vapor-liquid transition, (6) wave propagation near the critical point and (7) waves with low pressure effect. As for topic (1), experiments, numerical simulations and analytical approaches to waves in bubly liquids were discussed. The importance of interbubble interactions through the liquid-field is now well established at least in terms of potential theory. There was also a progress concerning the well-posedness of governing equations for void waves. For pressure waves there were some new phenomena, such as bubble cluster formation and the occurrence of three-dimensional structures, in addition to a progress from more qualitative studies to quantitative ones.

Author : Gesellschaft für Angewandte Mathematik und Mechanik
Publisher : Unknown
Page : 342 pages
File Size : 55,7 Mb
Release : 1994
Category : Mathematics
ISBN : UOM:39015053995034

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Rundbrief der Gesellschaft fur Angewandte Mathematik und Mechanik by Gesellschaft für Angewandte Mathematik und Mechanik Pdf

Author : Patrick Lynett
Publisher : World Scientific
Page : 314 pages
File Size : 46,7 Mb
Release : 2009
Category : Science
ISBN : 9789812709042

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Nonlinear Wave Dynamics by Patrick Lynett Pdf

In September 2006, research leaders in the field of coastal engineering, fluid mechanics, and wave theory met at Cornell University to celebrate the 60th birthday of Prof. Philip L-F Liu. This volume is a compilation of the research papers presented at the symposium, and includes both review and new research papers. Topics such as nonlinear wave theory, tsunamis, wave-structure interaction, turbulence, and modeling of complex sediment transport are discussed in this volume. All of the contributing authors are research collaborators of Prof. Liu, and include leaders in coastal engineering such as Maarten Dingemans, Hwung-Hweng Hwung, Nobu Kobayashi, Inigo Losada, Hocine Oumeraci, Costas Synolakis, and Harry Yeh.