A simple proof of 𝐿^{𝑞}-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions

Galdi, Giovanni; Kyed, Mads

doi:10.1090/S0002-9939-2012-11640-5

A simple proof of $L^{q}$-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions
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by Giovanni P. Galdi and Mads Kyed PDF

Proc. Amer. Math. Soc. 141 (2013), 1313-1322 Request permission

Abstract:

This is the second of two papers in which simple proofs of $L^{q}$-estimates of solutions to the steady-state three-dimensional Oseen and Stokes equations in a rotating frame of reference are given. In this part, estimates are established in terms of data in homogeneous Sobolev spaces of negative order.

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