Global well-posedness of classical solutions to a fluid particle interaction model in R3

[摘要] We consider the Cauchy problem of a fluid particle interaction model in R-3, namely, compressible Navier-Stokes equations coupled with Smoluchowski equation. When the initial data (rho(0), u(0), eta(0)) is of small energy around steady state (rho(star), 0, eta(star)), the global well-posedness and large-time behavior of classical solutions are investigated. Vacuum is allowed. (C) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2017-12-15

[关键词] Compressible fluid-particle interaction model;Global classical solution;Large-time behavior;Decay rates