대한수학회지 (Journal of the Korean Mathematical Society)

  • 제46권5호
  • /
  • Pages.1041-1069
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  • 2009
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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HOMOGENIZATION OF THE NON-STATIONARY STOKES EQUATIONS WITH PERIODIC VISCOSITY

  • 발행 : 2009.09.01
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초록

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

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피인용 문헌

  1. Periodic homogenization of the non-stationary Navier–Stokes type equations vol.28, pp.3-4, 2017, https://doi.org/10.1007/s13370-016-0463-7