A NOTE ON WELL-POSEDNESS OF BIDIRECTIONAL WHITHAM EQUATION

Pei, Long; Wang, Yuexun
Journal article, Peer reviewed
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URI
http://hdl.handle.net/11250/2636914
Date
2019
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Applied Mathematics Letters. 2019, 98 215-223.   10.1016/j.aml.2019.06.015
Abstract
We consider the initial-value problem for the bidirectional Whitham equation, a system which combines the full two-way dispersion relation from the incompressible Euler equations with a canonical shallow-water nonlinearity. We prove local well-posedness in classical Sobolev spaces, using a square-root type transformation to symmetrise the system.
Publisher
Elsevier
Journal
Applied Mathematics Letters
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