Wave-breaking phenomena and persistence properties for the nonlocal rotation-Camassa-Holm equation

DOI10.1007/s10231-019-00882-5zbMath1437.35113OpenAlexW2952733792WikidataQ127683338 ScholiaQ127683338MaRDI QIDQ2297636

Yongsheng Mi, Yue Liu, Min Zhu

Publication date: 20 February 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-019-00882-5

zbMATH Keywords

periodic settingeffect of Earth's rotationeffect of the Coriolis forcelong-crested shallow water waves

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) PDEs in connection with geophysics (35Q86) Euler equations (35Q31)

Related Items

The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of \(sech^2\) solutions ⋮ Local well-posedness and decay for some generalized shallow water equations ⋮ Low regularity of solutions to the rotation-Camassa-Holm type equation with the Coriolis effect ⋮ Noise effects in some stochastic evolution equations: global existence and dependence on initial data ⋮ Nonexistence of the periodic peaked traveling wave solutions for rotation-Camassa-Holm equation ⋮ Qualitative analysis for a new generalized 2-component Camassa-Holm system

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