Special Session 27: Recent Trends in Navier-Stokes Equations, Euler Equations, and Related Problems
Regularity criteria for solutions of the Navier-Stokes equations in terms of the derivatives of several fundamental quantities along the streamlines.
Petr Kucera
Czech Technical University Czech Rep
Co-Author(s):
Abstract:
In this talk, we deal with the conditional regularity of the weak solutions of the Navier-Stokes equations on a bounded domain. In the first part of the talk, we study an optimal regularity criterion based on the control of the energy flow. In the next part, we study the regularity criteria which are based on the directional derivatives of
several fundamental quantities along the streamlines, the pressure, the velocity field, and the Bernoulli pressure.