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

Gregory Seregin; Jan Burczak

arxiv: 1707.01986 · v1 · pith:UQ7IIACFnew · submitted 2017-07-06 · 🧮 math.AP

LlogL-integrability of the velocity gradient for Stokes system with drifts in L_infty (BMO⁻¹)

Jan Burczak , Gregory Seregin This is my paper

classification 🧮 math.AP

keywords driftsinftyintegrabilitylloglstokessystemvelocitygradient

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

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LlogL-integrability of the velocity gradient for Stokes system with drifts in L_infty (BMO⁻¹)

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