On a two dimensional nonlocal shallow-water model

DOI10.1016/j.aim.2021.108021zbMath1477.35162OpenAlexW3199333820MaRDI QIDQ2237399

Zhaoyang Yin, Guilong Gui, Yue Liu, Wei Luo

Publication date: 27 October 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2021.108021

zbMATH Keywords

solitary wavesblow-upCamassa-Holm equationshallow water wavesKadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (3)

Formation of singularity of solution to a nonlinear shallow water equation ⋮ A discontinuous Galerkin method for the Camassa‐Holm‐Kadomtsev‐Petviashvili type equations ⋮ Existence of the periodic peaked solitary-wave solutions to the Camassa-Holm-Kadomtsev-Petviashvili equation

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