@Article{JMS-57-1,
author = {K.C., Jang, Durga and Regmi, Dipendra and Tao, Lizheng and Wu, Jiahong},
title = {The 2D Boussinesq-Navier-Stokes Equations with Logarithmically Supercritical Dissipation},
journal = {Journal of Mathematical Study},
year = {2024},
volume = {57},
number = {1},
pages = {101--132},
abstract = {<div style="text-align: justify;">We study the global well-posedness of the initial-value problem for the 2D Boussinesq-Navier-Stokes equations with dissipation given by an operator $\mathcal{L}$ that can be defined through both an integral kernel and a Fourier multiplier.&nbsp; When the operator $\mathcal{L}$ is represented by $\frac{|\xi|}{a(|\xi|)}$ with $a$ satisfying $ \lim_{|\xi|\to \infty} \frac{a(|\xi|)}{|\xi|^\sigma} = 0$ for any $\sigma&gt;0$, we obtain the global well-posedness.&nbsp; A special consequence is the global well-posedness of 2D Boussinesq-Navier-Stokes equations when the dissipation is logarithmically supercritical.</div>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v57n1.24.06},
url = {https://global-sci.com/article/91127/the-2d-boussinesq-navier-stokes-equations-with-logarithmically-supercritical-dissipation}
}