On the existence of global strong solutions to 2D compressible Navier–Stokes–Smoluchowski equations with large initial data

Publication date: October 2019Source: Nonlinear Analysis: Real World Applications, Volume 49Author(s): Bingkang Huang, Lvqiao Liu, Lan ZhangAbstractThis paper studies a fluid–particle interaction model for the evolution of particles dispersed in fluid. This coupled model consists of the Smoluchowski equation for the particle part, and 2D isentropic compressible Navier–Stokes equations for the fluid part. The global existence of strong solutions to the Cauchy problem of the coupled system with large initial data which may contain vacuum is established.

Source: Nonlinear Analysis: Real World Applications - March 31, 2019 Category: Research Source Type: research