Michael Struwe

Learn More
Consider axisymmetric strong solutions of the incompressible Navier–Stokes equations in R 3 with nontrivial swirl. Such solutions are not known to be globally defined, but it is shown in ([1], Partial regularity of suitable weak solutions of the Navier–Stokes equations. they could only blow up on the axis of symmetry. Let z denote the axis of symmetry and r(More)
We present new regularity criteria involving the integrability of the pressure for the Navier-Stokes equations in bounded domains with smooth boundaries. We prove that either if the pressure belongs to L γ,q x,t with 3/γ + 2/q ≤ 2 and 3/2 < γ ≤ ∞ or if the gradient of the pressure belongs to L γ,q x,t with 3/γ + 2/q ≤ 2 and 1 < γ ≤ ∞, then weak solutions(More)