G. Seregin

activity

20042009

most citedLiouville theorems for the Navier-Stokes equations and applications

3 citations · 9 across the 9 of their papers we have counts for

collaborators

Showing 2009Show all

3 papers · 1 filter

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 $L_{3}$ -norm of the velocity field as time $t$ approaches blow-up time $T$ . 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…