摘要
This paper is concerned with the Cauchy problem for a 3D fluid-particle interaction model in the so-called flowing regime inℝ3.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 H3 of the system are established by using the careful energy method.
作者
Lin ZHENG
Shu WANG
郑琳;王术(College of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou,450046,China;School of Mathematics,Statistics and Mechanics,Beijing University of Technology,Beijing,100124,China)
基金
supported by the NSFC(41975129).
