On the wave turbulence theory for stratified flows in the ocean

DOI10.1142/S0218202520500037zbMath1442.35461arXiv1709.08266OpenAlexW2985529002WikidataQ126747956 ScholiaQ126747956MaRDI QIDQ5112021

Leslie M. Smith, Minh-Binh Tran, Irene Martínez Gamba

Publication date: 27 May 2020

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08266

zbMATH Keywords

oceanographyquantum Boltzmann equationstratified fluidswave-wave interactionsnear-resonancewave (weak) turbulence theory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Turbulence (76F99) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Weak solutions to PDEs (35D30) Continuation and prolongation of solutions to PDEs (35B60) Stratification effects in inviscid fluids (76B70) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

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