The Water Wave Problem: Asymptotic and Mathematical Analysis
LAU Byblos Campus, Block A 710-711, LAU Beirut Campus, AKSOB 903, and Online via Webex
The Department of Computer Science and Mathematics at the School of Arts and Sciences cordially invites you to the following talk as part of its Seminar Series.
About the event
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In this talk, Dr. Bashar El Khorbatly will start with an overview of the water wave problem and the motivation for studying asymptotic models, then present the derivation of shallow water models for the propagation of large-amplitude surface waves, with emphasis on the Green-Naghdi system, and provide a discussion of their mathematical justification. The KdV equation will subsequently be introduced as an approximate model for long, small-amplitude free-surface waves.
Finally, he will present how fundamental mechanical balance quantities from the Euler equations are captured by the KdV solutions and how their convergence can be quantified in terms of the long-wave parameter.