Global well-posedness of the \(n\)-dimensional hyper-dissipative Boussinesq system without thermal diffusivity

DOI10.3934/cpaa.2021018zbMath1471.35273OpenAlexW3130263620MaRDI QIDQ2032091

Aibin Zang, Yuelong Xiao, Xuemin Deng

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021018

zbMATH Keywords

Boussinesq equationsFourier seriesspectral decompositionglobal well-posednessvanishing thermal diffusion limit

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hydrology, hydrography, oceanography (86A05) General topics in linear spectral theory for PDEs (35P05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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