Existence and uniqueness of the global conservative weak solutions to the rotation-Camassa-Holm equation

DOI10.1016/j.jde.2018.10.012zbMath1411.35072OpenAlexW2897993647MaRDI QIDQ1720287

Yue Liu, Xinyu Tu, Chun-Lai Mu

Publication date: 8 February 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.10.012

zbMATH Keywords

Coriolis effect

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (17)

Group Analysis of Some Camassa–Holm-Type Equations ⋮ Continuous dependence on data under the Lipschitz metric for the rotation-Camassa-Holm equation ⋮ Wave breaking for shallow water models with time decaying solutions ⋮ Uniqueness and generic regularity of global weak conservative solutions to the Constantin-Lannes equation ⋮ Curvature blow-up and peakons for the Camassa-Holm type equation ⋮ Persistence and asymptotic analysis of solutions of nonlinear wave equations ⋮ Low regularity of solutions to the rotation-Camassa-Holm type equation with the Coriolis effect ⋮ Generic regularity of conservative solutions to the rotational Camassa-Holm equation ⋮ Wave breaking and global existence for the generalized periodic Camassa-Holm equation with the weak dissipation ⋮ Existence and uniqueness of the global conservative weak solutions to the cubic Camassa-Holm-type equation ⋮ Non-uniform dependence and well-posedness for the rotation-Camassa-Holm equation on the torus ⋮ Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation ⋮ Symmetric waves are traveling waves for the rotation-Camassa-Holm equation ⋮ On the Cauchy problem for the shallow-water model with the Coriolis effect ⋮ Non-uniform dependence on initial data for the rotation-Camassa-Holm equation ⋮ The dynamic properties of solutions for a nonlinear shallow water equation ⋮ Nonexistence of periodic peaked traveling wave solutions to a rotation \(\mu \)-Camassa-Holm equation with Coriolis effect

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