We show that if a singularity of suitable weak solutions to Navier-Stokes equations occurs, then either p or at least two of ∂iv i , i = 1, 2, 3, have neither upper bounds nor lower bounds in any neighbourhood of the singularity. In the case of axially symmetric solutions, we prove that either p or ∂rvr is not bounded both below and above near a singular point, if it exists.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics