Modelling the effect of submarine volcanic eruption on equatorial oceanic flows

Nonlinear Analysis: Real World Applications - Tập 74 - Trang 103956 - 2023
Biswajit Basu1, Manish Kanojia1
1School of Engineering, Trinity College Dublin, Dublin 2, Ireland

Tài liệu tham khảo

Smith, 1988, Seamount statistics in the Pacific Ocean, J. Geophys. Res.: Solid Earth, 93, 2899, 10.1029/JB093iB04p02899 Rubin, 2012, Volcanic eruptions in the deep sea, Oceanography, 25, 142, 10.5670/oceanog.2012.12 Pegler, 2021, Rapid heat discharge during deep-sea eruptions generates megaplumes and disperses tephra, Nature Comm., 12, 1, 10.1038/s41467-021-22439-y Newland, 2022, Dynamics of deep-submarine volcanic eruptions, Sc. Reps., 12, 1 Ocean Info, 2019 Ross, 1994, Volcanic geomorphology of the SESCA and NESCA sites, Escanaba Trough, US Geol. Surv. Bull., 2022, 143 Normark, 2003, Extensive deposits on the Pacific Plate from late pleistocene North American glacial lake outbursts, J. Geol., 111, 617, 10.1086/378334 Cahalan, 2021, Explosive submarine eruptions: The role of condensable gas jets in underwater eruptions, J. Geophys. Res.: Solid Earth, 126, 2169, 10.1029/2020JB020969 McCreary, 1985, Modeling equatorial ocean circulation, Ann. Rev. Fluid Mech., 17, 359, 10.1146/annurev.fl.17.010185.002043 Johnson, 2001, Equatorial Pacific Ocean horizontal velocity, divergence, and upwelling, J. Phys. Ocean., 31, 839, 10.1175/1520-0485(2001)031<0839:EPOHVD>2.0.CO;2 Kessler, 2006, The circulation of the eastern tropical Pacific: A review, Progr. Ocean., 69, 181, 10.1016/j.pocean.2006.03.009 Fedorov, 2009, Equatorial waves, 3680 Constantin, 2012, On the modelling of equatorial waves, Geophys. Res. Lett., 39, L05602, 10.1029/2012GL051169 Martin, 2017, Two-dimensionality of gravity water flows governed by the equatorial f-plane approximation, Ann. Di Mat. Pura Ed Appl. (1923-), 196, 2253, 10.1007/s10231-017-0663-2 Constantin, 2016, Hamiltonian formulation for wave-current interactions in stratified rotational flows, Arch. Ration. Mech. Anal., 221, 1417, 10.1007/s00205-016-0990-2 Ionescu-Kruse, 2017, Periodic equatorial water flows from a Hamiltonian perspective, J. Differential Equations, 262, 4451, 10.1016/j.jde.2017.01.001 Basu, 2022, On the nonlinear three-dimensional models in equatorial ocean flows, Comm. Pure Appl. Anal., 21, 2271, 10.3934/cpaa.2022085 Basu, 2019, Some numerical investigations into a nonlinear three-dimensional model of Pacific equatorial ocean dynamics, Deep-Sea Res. IIs, 160, 7, 10.1016/j.dsr2.2018.11.013 Basu, 2018, On a three-dimensional nonlinear model of Pacific equatorial ocean dynamics: Velocities and flow paths, Oceanography, 31, 51, 10.5670/oceanog.2018.309 Henry, 2019, Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification, J. Differential Equations, 266, 6788, 10.1016/j.jde.2018.11.017 Henry, 2019, Azimuthal equatorial flows with variable density in spherical coordinates, Arch. Ration. Mech. Anal., 233, 497, 10.1007/s00205-019-01362-z Henry, 2020, Stratified equatorial flows in cylindrical coordinates, Nonlinearity, 33, 38, 10.1088/1361-6544/ab801f Constantin, 2015, A Hamiltonian approach to wave-current interactions in two-layer fluids, Phys. Fluids, 27, 10.1063/1.4929457 Constantin, 2019, Equatorial wave–current interactions, Comm. Math. Phys., 370, 1, 10.1007/s00220-019-03483-8 Ivanov, 2017, Hamiltonian model for coupled surface and internal waves in the presence of currents, Nonlin. Anal.: RWA, 34, 316, 10.1016/j.nonrwa.2016.09.010 Martin, 2021, Azimuthal equatorial flows in spherical coordinates with discontinuous stratification, Phys. Fluids, 33, 026, 10.1063/5.0035443 Constantin, 2017, A nonlinear, three-dimensional model for ocean flows, motivated by some observations of the Pacific Equatorial Undercurrent and thermocline, Phys. Fluids, 29, 56, 10.1063/1.4984001 Gill, 1982