In this paper, we prove the global well-posedness of the 2D Boussinesq equations with three kinds of partial dissipation; among these the initial data $(u_0,\theta_0)$ is required such that its own and the derivative of one of its directions $(x,y)$ are assumed to be $L^2(\mathbb R^2)$. Our results only need the lower regularity of the initial data, which ensures the uniqueness of the solutions.
Xueting Jin
,
Yuelong Xiao
,
Huan Yu
. GLOBAL WELL-POSEDNESS OF THE 2D BOUSSINESQ EQUATIONS WITH PARTIAL DISSIPATION[J]. Acta mathematica scientia, Series B, 2022
, 42(4)
: 1293
-1309
.
DOI: 10.1007/s10473-022-0403-6
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