Communications in Information and Systems
Volume 13 (2013)
Special Issue in Honor of Marshall Slemrod: Part 1 of 4
Viscous and inviscid models in fluid-particle interaction
Pages: 45 – 78
Some recent developments in the study of fluid-particle interaction models are reviewed. A viscous model governed by the Navier- Stokes-Smoluchowski system and an inviscid model governed by the Euler-Smoluchowski system are presented and analyzed. For the viscous model, results on global existence, asymptotic behavior, singular limits and weak-strong uniqueness are discussed, whereas the analysis on the inviscid model deals with the issue of existence of smooth solutions.
2010 Mathematics Subject Classification
Primary 35Q84. Secondary 35D30.