Improved local existence result of the Green-Naghdi equations with the Coriolis effect

DOI10.1016/j.na.2023.113438zbMath1530.35316OpenAlexW4388688497MaRDI QIDQ6185369

Bashar Khorbatly

Publication date: 8 January 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2023.113438

zbMATH Keywords

well-posednessGreen-Naghdi equationsCoriolis effect

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) First-order nonlinear hyperbolic equations (35L60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Internal waves for incompressible inviscid fluids (76B55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)

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