Publication Cover
Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 6
24
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Diffusion in a highly rarefied binary structure of general periodic shape

, &
Pages 635-655 | Received 24 Feb 2007, Accepted 22 May 2007, Published online: 27 Jul 2010

References

  • Cioranescu , D and Murat , F . 1982 and 1983 . “ College de France Seminar, II and III, Paris (1979/1980) and (1980/1981), Res. Notes in Math. 60 and 70 ” . In Un Terme Étrange Venu D'ailleurs, I and II, Nonlinear Partial Differential Equations and their Applications 98–138 – 154–178 . Pitman, London
  • Casado-Diaz , J . 2000 . Two-scale convergence for nonlinear Dirichlet problems in perforated domains . Proc. R. Soc. of Edinb. , 130 A : 249 – 276 .
  • Allaire , G . 1991 . Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I. Abstract framework, a volume distribution of holes . Arch. Rational. Mech. Anal. , 113 : 209 – 259 .
  • Damlamian , A and Donato , P . 1991 . Homogenization with small inclusions of increasingly complicated shapes . SIAM J. Math. Anal. , 22 : 639 – 652 .
  • Mosco , U . 1994 . Composite media and asymptotic Dirichlets forms . J. Functional Anal. , 123 : 368 – 421 .
  • Briane , M and Tchou , N . 2001 . Fibered microstructure for some non-local Dirichlet forms . Ann. Scuola Norm. Sup. Pisa Cl. Sci. , 30 ( 4 ) : 681 – 712 .
  • Bellieud , M and Bouchitté , G . 1998 . Homogenization of elliptic problems in a fibre reinforced structure. Non local effects . Ann. Scuola Norm. Sup. Pis Cl. Sci. , 26 ( 4 ) : 407 – 436 .
  • Bellieud , M and Gruais , I . 2005 . Homogenization of an elastic material reinforced by very stiff or heavy fibres. Non local effects. Memory effects . J. Math. Pures Appl. , 84 : 55 – 96 .
  • Bellieud , M . 2005 . Homogenization of evolution problems for a composite medium with very small and heavy inclusions . ESAIM Control Optim. Calc. Var. , 11 : 266 – 284 .
  • Bentalha , F , Gruais , I and Polisevski , D . 2006 . Homogenization of a conductive suspension in a Stokes-Boussinesq flow. Homogenization of a conductive suspension in a Stokes-Boussinesq flow . Appl. Anal. , 85 : 811 – 830 .
  • 2007 . Homogenization of a diffusion process in a rarefied binary structure . Rev. Roum. Math. Pures Appl. , 52 : 127 – 147 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.