Special Session 7: 

Counterexample of boundary Caccioppoli`s inequality in Navier-Stokes equations

Tongkeun Chang
Yonsei University
Co-Author(s):    Kang, Kyungkeun
We study Caccioppoli`s inequality of the non-stationary Stokes system and Navier-Stokes system. Our analysis is local near boundary and we prove that, in contrast to the interior case, the Caccioppoli`s type inequality of the Stokes system and the Navier-Stokes system, in general, fail.