On Whitham and related equations - Archive ouverte HAL
Article Dans Une Revue Studies in Applied Mathematics Année : 2018

On Whitham and related equations

Résumé

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.

Dates et versions

hal-01692490 , version 1 (25-01-2018)

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Citer

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