On Whitham and related equations

Abstract : The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations. In particular, we establish rigorous bounds between solutions of the Whitham and Korteweg–de Vries equations and provide some insights into the dynamics of the Whitham equation in different regimes, some of them being outside the range of validity of the Whitham equation as a water waves model.
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https://hal.archives-ouvertes.fr/hal-01692490
Contributor : Imb - Université de Bourgogne <>
Submitted on : Thursday, January 25, 2018 - 11:11:18 AM
Last modification on : Tuesday, June 18, 2019 - 11:28:15 AM

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Christian Klein, Felipe Linares, Didier Pilod, Jean-Claude Saut. On Whitham and related equations. Studies in Applied Mathematics, Wiley-Blackwell, 2018, 140 (2), pp.133-177. ⟨10.1111/sapm.12194⟩. ⟨hal-01692490⟩

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