@Article{CMR-38-4,
author = {Feng, Cheng},
title = {Zero Viscosity-Diffusivity Limit for the Incompressible Boussinesq Equations in Gevrey Class},
journal = {Communications in Mathematical Research },
year = {2022},
volume = {38},
number = {4},
pages = {579--604},
abstract = {<p style="text-align: justify;">In this paper, we study the zero viscosity-diffusivity limit for the
incompressible Boussinesq equations in a periodic domain in the framework of
Gevrey class. We first prove that there exists an interval of time, independent of
the viscosity coefficient and the diffusivity coefficient, for the solutions to the
viscous incompressible Boussinesq equations. Then, based on these uniform
estimates, we show that the solutions of the viscous incompressible Boussinesq
equations converge to that of the ideal incompressible Boussinesq equations as
the viscosity and diffusivity coefficients go to zero. Moreover, the convergence
rate is also given.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2021-0075},
url = {https://global-sci.com/article/81498/zero-viscosity-diffusivity-limit-for-the-incompressible-boussinesq-equations-in-gevrey-class}
}