On the Green’s formula for a Stokes type problem
Articles
Mindaugas Skujus
Institute of Mathematics and Informatics
Published 2008-12-21
https://doi.org/10.15388/LMR.2008.12
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Keywords

cylindrical outlets to infinity
time-periodic Stokes problem
generalized Green’s formula

How to Cite

Skujus M. (2008) “On the Green’s formula for a Stokes type problem”, Lietuvos matematikos rinkinys, 48(proc. LMS), pp. 72–77. doi: 10.15388/LMR.2008.12.

Abstract

A time-periodic Stokes problem is studied in the domain with cylindrical outlets to infinity. Using the Fourier series the problem is reduced to a sequence of elliptic problem. For each of these elliptic boundary value problems a generalized Green’s formula is constructed. The analogous Green’s formula for the steady Stokes problem was obtained in [1].

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