0000000001072850

AUTHOR

Didier Pilod

0000-0002-2391-381x

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On Whitham and Related Equations

2017

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.

010101 applied mathematicsPhysicsRange (mathematics)Nonlinear Sciences::Exactly Solvable and Integrable SystemsWhitham equationApplied Mathematics010102 general mathematicsMathematical analysis0101 mathematicsNonlinear Sciences::Pattern Formation and Solitons01 natural sciencesStudies in Applied Mathematics
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