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Temporal decays in [formula omitted]and [formula omitted]for the Stokes flow

Authors
Journal
Journal of Differential Equations
0022-0396
Publisher
Elsevier
Publication Date
Volume
222
Issue
1
Identifiers
DOI: 10.1016/j.jde.2005.01.001
Keywords
  • Incompressible Stokes Flow
  • Temporal Decay
  • Hardy Space
  • [Formula Omitted]

Abstract

Abstract We estimate the time decay rates in L 1 , in the Hardy space and in L ∞ of solutions for the Stokes equations on the half spaces. For the estimates in the Hardy space we adopt the ideas in (Math. Z. 231 (1999) 383; Temporal and spatial decays for the Stokes flows, submitted for publication), and also use the heat kernel and the solution formula for the Stokes equations.

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