On the propagation of tsunami waves, with emphasis on the tsunami of 2004

Adrian Constantin

doi:10.3934/dcdsb.2009.12.525

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2009, Volume 12, Issue 3: 525-537. Doi: 10.3934/dcdsb.2009.12.525

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On the propagation of tsunami waves, with emphasis on the tsunami of 2004

Adrian Constantin^1,

1.
University of Vienna, Fakultät für Mathematik, Nordbergstraße 15, 1090 Vienna

Received: April 2009

Revised: June 2009

Published: October 2009

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Abstract

In this review paper we discuss the range of validity of nonlinear dispersive integrable equations for the modelling of the propagation of tsunami waves. For the 2004 tsunami the available measurements and the geophyiscal scales involved rule out a connection between integrable nonlinear wave equations and tsunami dynamics.

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Mathematics Subject Classification: 35Q51, 35Q53, 76B15, 76B25.

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