Workshop on Extreme Events Max Planck Institut for Complex System Dresden, 30 October-2 November 2006 Workshop on Kinetic Theory and Mechanics of Continuous.

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Presentation transcript:

Workshop on Extreme Events Max Planck Institut for Complex System Dresden, 30 October-2 November 2006 Workshop on Kinetic Theory and Mechanics of Continuous Media Department of Mathematics, University of Naples, 9-10 November 2006 Analysis of the tsunami event in Algeria 2003 S. Dobrokhotov (1), B. Tirozzi (2), P. Zhevandrov (3), F. Raicich (4) (1) Institute for Problems in Mechanics, RAS, Moscow, Russia (2) Department of Physics, University “La Sapienza”, Rome, Italy (3) Escuela de Ciencias Fisico-Matematicas, Morelia, Mich., Mexico (4) CNR, Institute of Marine Sciences, Trieste, Italy

Valencia Barcelona Ibiza Earthquake data (USGS): t0: 18:44:19 GMT, 21 may 2003 USGS: epicenter 36.96°N, 3.63°E, M=6.9, hf=12 km Borerro: epicenter 36.90°N, 3.71°E, M=6.8, hf=10 km, strike=56°

Euristic formula for the run-up used by Pelinovsky and Ivanov: but no proofs available!

Ellipsoidal deformation M = 6.9 h f = 12 km (Pelinovsky et al., 2001) a = 34 km b = 12 km b 56° a Coordinates: model gridpoints

(Dobrokhotov et al., 2006) a 1 = km -1 Gaussian*cosine deformation = 0 a 2 = km -1 b 1 = km -2 b 2 = km -2 = 56° Coordinates: model gridpoints

Acknowledgements The observed sea-level data for Ibiza are kindly provided by Dr. B. Perez, Puertos del Estado, Madrid, Spain.

Linear theory of the scattering of localized waves on a beach with constant slope.

Example: Scattering of a packet on a beach with constant slope

The asymptotic formulas