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math.AP2009
A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations
G. Seregin
In the present note, we address the question about behavior of -norm of the velocity field as time approaches blow-up time . It is known that the upper limit of the abo…
math.AP2009★ 3 cited
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker-Planck equations
Peter Constantin, Gregory Seregin
We provide a proof of global regularity of solutions of coupled Navier-Stokes equations and Fokker-Planck equations, in two spatial dimensions, in the absence of boundaries. The pr…
math.AP2009
Holder Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing
Peter Constantin, Gregory Seregin
We discuss the regularity of solutions of 2D incompressible Navier-Stokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by th…