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Orbital stability of solitary waves of moderate amplitude in shallow water
Duruk-Mutlubaş, Nilay (University of Vienna. Faculty of Mathematics)
Geyer, Anna (University of Vienna. Faculty of Mathematics)

Data: 2013
Resum: We study the orbital stability of solitary traveling wave solutions of an equation for surface water waves of moderate amplitude in the shallow water regime. Our approach is based on a method proposed by Grillakis, Shatah and Strauss in 1987 [1], and relies on a reformulation of the evolution equation in Hamiltonian form. We deduce stability of solitary waves by proving the convexity of a scalar function, which is based on two nonlinear functionals that are preserved under the flow.
Nota: Agraïments: This work was supported by The Scientific and Technological Research Council of Turkey (TUBITAK) and the WWTF project MA09–003 “The flowbeneath a surface water wave“ of the Vienna Science and Technology Fund. The authors gratefully acknowledge helpful suggestions by Prof. Gasull.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: Solitary waves ; Nonlinear stability
Publicat a: Journal of Differential Equations, Vol. 255 Núm. 2 (2013) , p. 254-263, ISSN 0022-0396

DOI: 10.1016/j.jde.2013.04.010

15 p, 281.6 KB

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