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A note on well-posedness of bidirectional Whitham equation
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway..
2019 (English)In: Applied Mathematics Letters, ISSN 0893-9659, E-ISSN 1873-5452, Vol. 98, p. 215-223Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
PERGAMON-ELSEVIER SCIENCE LTD , 2019. Vol. 98, p. 215-223
Keywords [en]
Whitham-type equations, Dispersive equations, Well-posedness
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-260153DOI: 10.1016/j.aml.2019.06.015ISI: 000483423900032Scopus ID: 2-s2.0-85067842931OAI: oai:DiVA.org:kth-260153DiVA, id: diva2:1356229
Note

QC 20191001

Available from: 2019-10-01 Created: 2019-10-01 Last updated: 2019-10-01Bibliographically approved

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Pei, Long

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