Nonlinear Water Waves

Cetraro, Italy 2013
Buch | Softcover
VII, 228 Seiten
2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-31461-7 (ISBN)

Lese- und Medienproben

Nonlinear Water Waves - Adrian Constantin, Joachim Escher, Robin Stanley Johnson, Gabriele Villari
48,14 inkl. MwSt

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.

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.

Erscheinungsdatum
Reihe/Serie C.I.M.E. Foundation Subseries
Lecture Notes in Mathematics
Zusatzinfo VII, 228 p. 48 illus., 8 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 385 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte 76B15, 35Q35, 34C05 • Free Boundary • Mathematical Applications in the Physical Sciences • model equations • nonlinear, particle paths • Ordinary differential equations • Partial differential equations • Water Waves
ISBN-10 3-319-31461-0 / 3319314610
ISBN-13 978-3-319-31461-7 / 9783319314617
Zustand Neuware
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