Global well-posedness for the two dimensional Navier-Stokes-Vlasov Equations

2012/07/19 by Yu, Cheng
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1207.4718

Abstract

The global well-posedness for the incompressible Navier-Stokes-Vlasov equations in two spatial dimensions is established by a priori estimates, the characteristic method and the semigroup analysis.

Related

• Global weak solutions to the Navier-Stokes-Vlasov equations
• Global well-posedness of one-dimensional compressible Navier-Stokes-Vlasov system
• Global well-posedness for the 2-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces
• Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum
• Global well-posedness for the full compressible Navier-Stokes equations