03392nam 22006131a 450 991100474110332120260209204837.01-61197-187-X10.1137/1.9781611971873(CKB)2670000000130794(MH)012983229-4(SSID)ssj0000577550(PQKBManifestationID)12272877(PQKBTitleCode)TC0000577550(PQKBWorkID)10562488(PQKB)11196552(CaBNVSL)gtp00549346(PPN)191737216(SIAM)9781611971873(EXLCZ)992670000000130794CB81SIAM20110825d2011 uy 0engurbn||||m|||atxtccrNonlinear water waves with applications to wave-current interactions and tsunamis /Adrian ConstantinPhiladelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)20111 online resource (xii, 321 p. )ill. (some col.) ;CBMS-NSF Regional conference series in applied mathematics ;81Bibliographic Level Mode of Issuance: Monograph1-61197-186-1 Includes bibliographical references and index.Preface -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Wave-current interactions -- Chapter 4. Fluid kinematics for wave trains -- Chapter 5. Solitary water waves -- Chapter 6. Breaking waves -- Chapter 7. Modeling tsunamis -- Bibliography -- Index.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 interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.CBMS-NSF Regional conference series in applied mathematics ;81.Nonlinear wavesNonlinear wave equationsTsunamisMathematical modelsNonlinear waves.Nonlinear wave equations.TsunamisMathematical models.551.46/3Constantin Adrian477754Society for Industrial and Applied Mathematics.CaBNVSLCaBNVSLCaBNVSLBOOK9911004741103321Nonlinear water waves with applications to wave-current interactions and tsunamis240988UNINAThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress