The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect-Reference-Cited by-同舟云学术

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The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect

Published:2022-09-06 Issue:4 Volume:24 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Liu Yue,Yang Xiongfeng^ORCID

Funder

Simons Foundation

National Natural Science Foundation of China

Shanghai Science and Technology Innovation Action Plan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Link

https://link.springer.com/content/pdf/10.1007/s00021-022-00734-y.pdf

Reference27 articles.

1. Alvarez-Samaniego, B., Lannes, D.: Large time existence for 3D water-waves and asymptotics. Invent. Math. 171, 485–541 (2008)

2. Benzoni-Gavage, S., Chiron, D.: Long wave asymptotics for the Euler–Korteweg system. Rev. Mat. Iberoam. 34(1), 245–304 (2018)

3. Benjamin, T., Bona, J., Mahony, J.: Model equations for long waves in nonlinear dispersive media. Philos. Trans. R. Soc. Lond. A 272, 47–78 (1972)

4. Bona, J.L., Chen, M., Saut, J.C.: Boussinesq equations and other systems for small amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory. J. Nonlinear Sci. 12, 283–318 (2002)

5. Bona, J.L., Tzvetkov, N.: Sharp well-posedness results for the BBM equation. Discrete Contin. Dyn. Syst. 23, 1241–1252 (2009)

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1. Well‐posedness of the Green–Naghdi model for an uneven bottom in presence of the Coriolis effect and surface tension;Studies in Applied Mathematics;2024-06-21

2. On the behavior of the solution to the Degasperis-Procesi equation with the Coriolis effect;Discrete and Continuous Dynamical Systems - S;2024

3. Bifurcations and Exact Traveling Wave Solutions of the Generalized Serre–Green–Naghdi System with Weak Coriolis Effect and Surface Tension;International Journal of Bifurcation and Chaos;2023-06-30

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