J. Burczak, G. Seregin, “$LlogL$-integrability of the velocity gradient for Stokes system with drifts in $L_\infty (BMO^{-1})$”, Zap. Nauchn. Sem. POMI, 2017, Volume 459,Pages 37

$LlogL$-integrability of the velocity gradient for Stokes system with drifts in $L_\infty (BMO^{-1})$

J. Burczak^ab, G. Seregin^cd

^a Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warsaw, Poland
^b Mathematical Institute, University of Oxford, UK
^c Oxford University, UK
^d St. Petersburg Department of Steklov Mathematical Institute, RAS, Russia

Abstract: For any weak solution of the Stokes system with drifts in $L_\infty (BMO^{-1})$, we prove a reverse Hölder inequality and $LlogL$-higher integrability of the velocity gradients.

Key words and phrases: Stokes system with drift, reverse Hölder inequality, higher integrability.

UDC: 517

Received: 18.07.2017

Language: English