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

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

Published:2012-08-23 Issue:4 Volume:141 Page:1313-1322
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Galdi Giovanni,Kyed Mads

Abstract

This is the second of two papers in which simple proofs of L q 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-04/S0002-9939-2012-11640-5/S0002-9939-2012-11640-5.pdf

Reference12 articles.

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3. Springer Tracts in Natural Philosophy;Galdi, Giovanni P.,1994

4. On the motion of a rigid body in a viscous liquid: a mathematical analysis with applications;Galdi, Giovanni P.,2002

5. Steady flow of a Navier-Stokes fluid around a rotating obstacle;Galdi, Giovanni P.;J. Elasticity,2003

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