Abstract
We study the global well-posedness of the initial-value problem for the 2D Boussinesq-Navier-Stokes equations with dissipation given by an operator L that can be defined through both an integral kernel and a Fourier multiplier.When the opera-tor L is represented by|ζ|/a(|ζ|) with a satisfying lim|ζ|→∞a(|ζ|)/|ζ|σ=0 for any σ＞0,we obtain the global well-posedness.A special consequence is the global well-posedness of 2D Boussinesq-Navier-Stokes equations when the dissipation is logarithmically supercrit-ical.
基金项目
Presidential Summer Incentive Award ,University of North Georgia(2023-24)
National Science Foundation of USA(DMS 2104682)
National Science Foundation of USA(230974)
NETL
NSTL
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