Seminar on partial differential equations

Regularity and uniqueness for a critical Ladyzhenskaya fluid

We consider an incompressible p-law type fluid in a 3D bounded domain. Employing iterative estimate in Nikolskii spaces and reverse Hölder inequality, we establish higher time regularity and uniqueness of weak solution provided the data are more regular.
This is a joint work with M. Bulíček and P. Kaplický.