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We study the periodic homogenization of the non-stationary Stokes
equations. The fundamental homogenization theorem and corrector
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].
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참고문헌 (14)
참고문헌 신청
A. Bensoussan / 1978 / Asymptotic Analysis for Periodic Structures / North-Holland
A. Bensoussan / 2002 / Regularity Results for Nonlinear Elliptic Systems and Applications / Applied Mathematical Sciences 151
C. Conca / 1985 / On the application of the homogenization theory to a class of problems arising in fluid mechanics / J. Math. Pures Appl. 64 (1) : 31 ~ 75
D. Cioranescu / 1999 / An Introduction to Homogenization, Oxford Lecture Series in Mathematics and its Applications / The Clarendon Press, Oxford University Press
E. S´anchez-Palencia / 1980 / Nonhomogeneous Media and Vibration Theory / Lecture Notes in Phys. 127
A. Bensoussan / 2002 / Regularity Results for Nonlinear Elliptic Systems and Applications / Applied Mathematical Sciences 151
C. Conca / 1985 / On the application of the homogenization theory to a class of problems arising in fluid mechanics / J. Math. Pures Appl. 64 (1) : 31 ~ 75
D. Cioranescu / 1999 / An Introduction to Homogenization, Oxford Lecture Series in Mathematics and its Applications / The Clarendon Press, Oxford University Press
E. S´anchez-Palencia / 1980 / Nonhomogeneous Media and Vibration Theory / Lecture Notes in Phys. 127
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