Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model

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Asymptotic Analysis for a Vlasov-Fokker-Planck/ Compressible Navier-Stokes System of Equations (2008, methodology): “More recently, some properties of this model were investigated by J. Carrillo and T. Goudon in [ 11 ].”
Global Solutions to the Coupled Chemotaxis-Fluid Equations (2010, methodology): “For that, refer to [16, 6, 26, 25, 13, 3, 14] for the study of the Vlasov-FokkerPlanck equation coupled with the compressible or incompressible Navier-Stokes or Stokes equations, where the main tool used to prove the global existence of weak solutions or hydrodynamical limit is the existing entropy ”
A coupled chemotaxis-fluid model: Global existence (2011, methodology): “However, attention has recently been focused on coupled kinetic-fluid systems firstly introduced in [3] which have a similar mathematical flavor; also refer to [10,6] about the studies of the Vlasov–Fokker–Planck equation coupled with the compressible or incompressible Navier–Stokes or Stokes equati”
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior (2010, methodology): “However, attention has recently been focused on coupled kinetic–fluid systems firstly introduced in [6] which have a similar mathematical flavor; also refer to [12, 9] about the studies of the Vlasov-Fokker-Planck equation coupled with the compressible or incompressible Navier-Stokes or Stokes equat”