Abstract
We study the periodic homogenization of the non-stationary Stokes equations. The fundamental homogenization theorem and correc- tor theorem are proved under a very general assumption on the viscosity coefficients and data. The proofs are based on a weak formulation suitable for an application of classical Tartar's method of oscillating test functions. Such a weak formulation is derived by adapting an argument in Teman's book [Navier-Stokes Equations: Theory and Numerical Analysis, North- Holland, Amsterdam, 1984].
| Original language | English |
|---|---|
| Pages (from-to) | 1041-1069 |
| Number of pages | 29 |
| Journal | Journal of the Korean Mathematical Society |
| Volume | 46 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2009 Sep 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Homogenization of the non-stationary stokes equations with periodic viscosity. / Choe, Hi Jun; Kim, Hyunseok.
In: Journal of the Korean Mathematical Society, Vol. 46, No. 5, 01.09.2009, p. 1041-1069.Research output: Contribution to journal › Article
TY - JOUR
T1 - Homogenization of the non-stationary stokes equations with periodic viscosity
AU - Choe, Hi Jun
AU - Kim, Hyunseok
PY - 2009/9/1
Y1 - 2009/9/1
N2 - We study the periodic homogenization of the non-stationary Stokes equations. The fundamental homogenization theorem and correc- tor theorem are proved under a very general assumption on the viscosity coefficients and data. The proofs are based on a weak formulation suitable for an application of classical Tartar's method of oscillating test functions. Such a weak formulation is derived by adapting an argument in Teman's book [Navier-Stokes Equations: Theory and Numerical Analysis, North- Holland, Amsterdam, 1984].
AB - We study the periodic homogenization of the non-stationary Stokes equations. The fundamental homogenization theorem and correc- tor theorem are proved under a very general assumption on the viscosity coefficients and data. The proofs are based on a weak formulation suitable for an application of classical Tartar's method of oscillating test functions. Such a weak formulation is derived by adapting an argument in Teman's book [Navier-Stokes Equations: Theory and Numerical Analysis, North- Holland, Amsterdam, 1984].
UR - http://www.scopus.com/inward/record.url?scp=70349667672&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349667672&partnerID=8YFLogxK
U2 - 10.4134/JKMS.2009.46.5.1041
DO - 10.4134/JKMS.2009.46.5.1041
M3 - Article
VL - 46
SP - 1041
EP - 1069
JO - Journal of the Korean Mathematical Society
JF - Journal of the Korean Mathematical Society
SN - 0304-9914
IS - 5
ER -