Abstract for the talk at 18.01.2007 (15:00 h)

Special Analysis Seminar

Kyungkeun Kang (Sungkyunkwan University, Suwon)

On regularity criteria in conjunction with the pressure of the Navier-Stokes equations

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 formula7 with formula9 and formula11 or if the gradient of the pressure belongs to formula7 with formula15 and formula17 then weak solutions are regular. Local regularity criteria in terms of pressure are also established near a flat boundary as well as in the interior for suitable weak solutions.


01.03.2017, 13:57