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Nonlinear Water Waves: Lecture Notes in Mathematics, cartea 2158

Autor Adrian Constantin, Joachim Escher, Robin Stanley Johnson, Gabriele Villari
en Limba Engleză Paperback – 29 iun 2016
This volumebrings together four lecture courses on modern aspects of water waves. Theintention, through the lectures, is to present quite a range of mathematicalideas, primarily to show what is possible and what, currently, is of particularinterest.
Water wavesof large amplitude can only be fully understood in terms of nonlinear effects,linear theory being not adequate for their description. Taking advantage ofinsights from physical observation, experimental evidence and numericalsimulations, classical and modern mathematical approaches can be used to gaininsight into their dynamics. The book presents several avenues and offers awide range of material of current interest.  
Thelectures provide a useful source for those who want to begin to investigate howmathematics 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 familiarwith one branch of the study of waterwaves, to learn more about other areas.
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Specificații

ISBN-13: 9783319314617
ISBN-10: 3319314610
Pagini: 240
Ilustrații: VII, 228 p. 48 illus., 8 illus. in color.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.37 kg
Ediția:1st edition 2016
Editura: Springer
Colecția Lecture Notes in Mathematics
Seria Lecture Notes in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.


Textul de pe ultima copertă

This volumebrings together four lecture courses on modern aspects of water waves. Theintention, through the lectures, is to present quite a range of mathematicalideas, primarily to show what is possible and what, currently, is of particularinterest.
Water wavesof large amplitude can only be fully understood in terms of nonlinear effects,linear theory being not adequate for their description. Taking advantage ofinsights from physical observation, experimental evidence and numericalsimulations, classical and modern mathematical approaches can be used to gaininsight into their dynamics. The book presents several avenues and offers awide range of material of current interest. Due to the interdisciplinary natureof the subject, the book should be of interest to mathematicians (pure andapplied), physicists and engineers.
Thelectures provide a useful source for those who want to begin to investigate howmathematics 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 familiarwith one branch of the study of water waves, to learn more about other areas.The lectures cover background material as well as aspects that represent thestate-of-the-art. We therefore commend this collection of lectures to both thenovice and the expert.

Caracteristici

Equally interesting for mathematicians (pure and applied), physicists and engineers due to the interdisciplinary nature of the subject Covers background material as well as aspects that represent the state-of-the-art therefore recommended both for the novice and the expert The discussions cover a wide range of open