Nonlinear Water Waves

Cetraro, Italy 2013
1. Auflage 2016
ISBN: 978-3-319-31461-7
Verlag: Springer Nature Switzerland

Buch, Englisch, Band 2158, 228 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 3693 g

Reihe: Lecture Notes in Mathematics

This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest.

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. The book presents several avenues and offers a wide range of material of current interest.  

The lectures provide a useful source for those who want to begin to investigate how mathematics can be used to improve our understanding of water wave phenomena. In addition, some of the material can be used by those who are already familiar with one branch of the study of waterwaves, to learn more about other areas.

Zielgruppe

Research

Autoren/Hrsg.

Constantin, Adrian

Escher, Joachim

Villari, Gabriele

Johnson, Robin Stanley

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Adrian Constantin: Exact travelling periodic water waves in two-dimensional irrotational flows.- Joachim Escher: Breaking Water Waves.- Robin Stanley Johnson: Asymptotic methods for weakly nonlinear and other water waves.- Gabriele Villari: A survival kit in phase plane analysis: some basic models and problems.