Nonlinear Water Waves - Constantin, Adrian;Escher, Joachim;Johnson, Robin Stanley
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
Adrian Constantin ist Professor für Mathematik an der Universität Wien. Er diplomierte 1992 an der Universität Nizza, promovierte 1996 an der New York University und habilitierte sich 1999 an der Universität Zürich. Er war Mathematik-Lehrstuhlinhaber an der Universität Lund (2000-2008 ), am Trinity College Dublin (2004-2008), am King's College London (2012-2014) und seit 2008 ist er Universitätsprofessor für Partielle Differentialgleichungen an der Universität Wien. 2022 wurde er in die deutsche Nationale Akademie der Wissenschaften Leopoldina aufgenommen, und seit 2022 ist er auch korrespondierendes Mitglied der Österreichischen Akademie der Wissenschaften.