Abstract.
We estimate L p spatial-temporal decay rates of solutions of the linearized equations of incompressible flow in a 2D exterior domain. When a domain has a boundary, pressure term makes an obstacle since we do not have enough information on the pressure term near the boundary. To overcome the difficulty, we use a special form of a test function.
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Communicated by R. Finn
The first author was supported by Korea Research Foundation Grant (KRF-2003-015-C00052), and the second author by KRF-2006-531-C0009.
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Bae, HO., Jin, B.J. Asymptotic Behavior of Stokes Solutions in 2D Exterior Domains. J. math. fluid mech. 10, 423–433 (2008). https://doi.org/10.1007/s00021-006-0238-2
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DOI: https://doi.org/10.1007/s00021-006-0238-2