A NOTE ON WELL-POSEDNESS OF BIDIRECTIONAL WHITHAM EQUATION
Journal article, Peer reviewed
Accepted version
Åpne
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http://hdl.handle.net/11250/2636914Utgivelsesdato
2019Metadata
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- Institutt for matematiske fag [2528]
- Publikasjoner fra CRIStin - NTNU [38685]
Sammendrag
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.