Abstract
Effect of vorticity coherence on energy-enstrophy bounds for the 3D Navier-Stokes equations
Michael Jolly
Indiana University
Bounding curves in the energy,enstrophy-plane are derived for the 3D Navier-Stokes equations
under an assumption on coherence of the vorticity direction. The analysis in the critical case where the
direction is H\"older continuous with exponent $r=1/2$ results in a curve with extraordinarily large maximal enstrophy, in marked contrast to the subcritical case, $r>1/2$. Joint work with R. Dascaluic and Z. Grujic.
under an assumption on coherence of the vorticity direction. The analysis in the critical case where the
direction is H\"older continuous with exponent $r=1/2$ results in a curve with extraordinarily large maximal enstrophy, in marked contrast to the subcritical case, $r>1/2$. Joint work with R. Dascaluic and Z. Grujic.