This paper is concerned with the Cauchy problem for a 3D fluid-particle interaction model in the so-called flowing regime in $\mathbb{R}^{3}$. Under the smallness assumption on both the external potential and the initial perturbation of the stationary solution in some Sobolev spaces, the existence and uniqueness of global smooth solutions in $H^{3}$ of the system are established by using the careful energy method.
Lin ZHENG
,
Shu WANG
. THE GLOBAL EXISTENCE AND UNIQUENESS OF SMOOTH SOLUTIONS TO A FLUID-PARTICLE INTERACTION MODEL IN THE FLOWING REGIME*[J]. Acta mathematica scientia, Series B, 2024
, 44(5)
: 1877
-1885
.
DOI: 10.1007/s10473-024-0513-4
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