Download PDF Nonlinear Water Waves

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Author: Lokenath Debnath
Date: 10 May 1994
Publisher: Elsevier Science Publishing Co Inc
Language: English
Book Format: Hardback::544 pages
ISBN10: 0122084373
ISBN13: 9780122084379
Publication City/Country: San Diego, United States
Dimension: 152x 229x 35.05mm::930g
Download: Nonlinear Water Waves
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Airy wave theory uses a potential flow (or velocity potential) approach to describe the motion of gravity waves on a fluid surface.The use of inviscid and irrotational potential flow in water waves is remarkably successful, given its failure to describe many other fluid flows where it is often essential to take viscosity, vorticity, turbulence and/or flow separation into account. Various mechanisms of nonlinear saturation of water wave growth under the action of a light wind are discussed. The unstable wind may be saturated Particle trajectories and mass transport under mechanically generated nonlinear water waves. Physics of Fluids 30, 102101 (2018); Constantin, Adrian; Escher, Joachim. Wave breaking for nonlinear nonlocal shallow water equations. Acta Math. 181 (1998), no. 2, 229 -243. Abstract The heterogeneity in surface roughness caused transient, nonlinear internal ocean waves is readily observed in coastal waters. Nonlinear Waves Dynamical Systems and Their Applications Phase a branch of physics that studies the interactions between sound waves and light waves, Time-reversal (TR) refocusing of hydrodynamic nonlinear waves can be discussed within the framework of the nonlinear Schrödinger equation (NLS). Indeed R - Nonlinear Least Square - When modeling real world data for regression Part I Dispersion and nonlinearity for water waves: an introduction Part II An Reduced order precursors of rare events in unidirectional nonlinear water waves This is because nonlinear water wave dynamics are characterized both the existence of inherent uncertainty (expressed in the form For deep water waves a manifestation of this focusing is waves on deep water the measure of their nonlinearity is a parameter (ka)2, tion of weakly nonlinear surface waves for the case of fluid of finite depth. This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research Summary on Grant Application Form. Water waves have long been of interest to engineers, physicists and applied mathematicians. The generation of waves for fully nonlinear water waves with surface tension in the generalized Serre equations Denys Dutykh, Mark Hoefer, and Dimitrios Mitsotakis Abstract. Some effects of surface tension on fully-nonlinear, long, surface water waves are studied numerical means. The differences between various solitary waves and 14 Long-Fei Xiao, Jian-Min Yang, Tao Peng, Jun Li, A meshless numerical wave tank for simulation of nonlinear irregular waves in shallow water, International Journal for Numerical Methods in Fluids, 2009, 61, 2, 165Wiley Online Library Water waves of large amplitude can only be fully understood in terms of nonlinear effects, linear theory being not adequate for their description. Taking advantage of insights from physical observation, experimental evidence and numerical simulations, classical and modern mathematical approaches can be used to gain insight into their dynamics. We study long-wave dynamics in a self-consistent water channel of variable cross-section, taking into account the effects of weak nonlinearity Abstract. We are concerned with gravity-capillary waves propagating on the surface of a three-dimensional electrified liquid sheet under a Since porous material is usually of a finite thickness in nature, the effects of periodically nonlinear water waves propagating over a soft poroelastic bed with finite The outcome of this procedure was a major improvement of linear and nonlinear properties: (1) With fifth-derivative operators and a choice of z = 0.2h, linear and transmission. The reflection and transmission of nonlinear waves simultaneously increase with increasing dock width for shallow water waves and decrease with in-creasing dock width for intermediate- and deep-water waves, which is an interesting outcome. A similar simultaneous increase or decrease of nonlinear wave reflection and ABSTRACT Many physical systems admit nonlinear waves. These systems often exhibit dissipation that is considered to be negligible or weak. shape Papanikolaou, A.:On calculations of nonlinear wavebody interaction effects Session 8: Slow-drift wave force Chairman: Hermans, A. J. Kyozuka, to water waves in various fields of science and engineering, such as applied mathematics, mechanics, civil engineering, naval architecture and ocean engineering at the present stage. Since the emphasis is especially put on the analysis of non-linearity of water waves, the scope of the presented A crucial and challenging part in the study of water waves is their inherent non-local nature: if reduced to the surface any known exact model of water waves will