摘要
We prove the global existence of classical solutions to a fluid-particle interaction model in R^3, namely, compressible Navier-Stokes-Smoluchowski equations, when the initial data are close to the stationary state(ρ*, 0, η*) and the external potential satisfies the smallness assumption. Furthermore, optimal decay rates of classical solutions in H^3-framework are obtained.
We prove the global existence of classical solutions to a fluid-particle interaction model in R^3, namely, compressible Navier-Stokes-Smoluchowski equations, when the initial data are close to the stationary state(ρ_*, 0, η_*) and the external potential satisfies the smallness assumption. Furthermore, optimal decay rates of classical solutions in H^3-framework are obtained.
作者
Shijin DING
Bingyuan HUANG
Quanrong LI
丁时进;黄丙远;黎泉荣(South China Research Center for Applied Mathematics and Interdisciplinary Studies,School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China;School of Mathematics and Statistics,Hanshan Normal University,Chaozhou 521041,China;College of Mathematics and Statistics,Shenzhen University,Shenzhen 518060,China)
基金
supported by the National Natural Science Foundation of China(11371152,11771155,11571117 and 11871005)
the Natural Science Foundation of Guangdong Province(2017A030313003)
supported by the Natural Science Foundation of Guangdong Province(2018A030310008)
the Doctoral Scientific Research Foundation of Hanshan Normal University(QD20171002)
the Educational Commission of Guangdong Province(2017KTSCX124)
