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Global regularity for a two‐dimensional nonlinear Boussinesq system
Author(s) -
Qin Yuming,
Su Xing,
Wang Yang,
Zhang Jianlin
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4118
Subject(s) - mathematics , nonlinear system , variable (mathematics) , viscosity , boussinesq approximation (buoyancy) , order (exchange) , mathematical analysis , physics , mechanics , thermodynamics , heat transfer , economics , natural convection , finance , quantum mechanics , rayleigh number
In this paper, we first utilize the vanishing diffusivity method to prove the existence of global quasi‐strong solutions and get some higher order estimates, and then prove the global well‐posedness of the two‐dimensional Boussinesq system with variable viscosity for H 3 initial data. Copyright © 2016 John Wiley & Sons, Ltd.