Abstract
The Ostrovsky–Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth. It is a nonlinear evolution equation. In this paper we study the well-posedness for the Cauchy problem associated with this equation in presence of some weak dissipation effects.
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The authors are members of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM).
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Coclite, G.M., di Ruvo, L. Well-posedness of the Ostrovsky–Hunter Equation under the combined effects of dissipation and short-wave dispersion. J. Evol. Equ. 16, 365–389 (2016). https://doi.org/10.1007/s00028-015-0306-2
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DOI: https://doi.org/10.1007/s00028-015-0306-2