For 2D Navier-Stokes near Couette, ν^{1/2}-small perturbations in H^log_x L^2_y undergo enhanced dissipation at rate ν^{1/3} and inviscid damping, with L^2 initial data sufficient for any threshold exponent above 1/2.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Enhanced dissipation for the 2D Couette flow in critical space
For 2D Navier-Stokes near Couette, ν^{1/2}-small perturbations in H^log_x L^2_y undergo enhanced dissipation at rate ν^{1/3} and inviscid damping, with L^2 initial data sufficient for any threshold exponent above 1/2.