1.

Record Nr.

UNINA9911004741103321

Autore

Constantin Adrian

Titolo

Nonlinear water waves with applications to wave-current interactions and tsunamis / / Adrian Constantin

Pubbl/distr/stampa

Philadelphia, Pa., : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2011

ISBN

1-61197-187-X

Descrizione fisica

1 online resource (xii, 321 p. ) : ill. (some col.) ;

Collana

CBMS-NSF Regional conference series in applied mathematics ; ; 81

Disciplina

551.46/3

Soggetti

Nonlinear waves

Nonlinear wave equations

Tsunamis - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.