Publication Cover
Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 2
81
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Heat transfer models for two-component media with interfacial jump

&
Pages 247-260 | Received 22 Jun 2015, Accepted 22 Nov 2015, Published online: 28 Dec 2015

References

  • Poliševski D. Basic homogenization results for a biconnected ℇ-periodic structure. Appl. Anal. 2003;82:301–309.
  • Ene HI, Poliševski D. Model of diffusion in partially fissured media. J. Appl. Math. Phys. 2002;53:1052–1059.
  • Poliševski D. The regularized diffusion in partially fractured porous media. In: Dragos L,editor. Current topics in continuum mechanics. Vol. 2. Bucharest: Academiei; 2003.
  • Poliševski D, Schiltz-Bunoiu R, Stănescu A. Homogenization cases of heat tranfer in structures with interfacial barriers. B. Math. Soc. Sci. Math. 2015;58:463–473.
  • Hummel HK. Homogenization for heat transfer in polycrystals with interfacial resistances. Appl. Anal. 2000;75:403–424.
  • Allaire G. Homogenization and two-scale convergence. SIAM J. Math. Anal. 1992;23:1482–151.
  • Cioranescu D, Donato P. An introduction to homogenization. Vol. 17, Oxford lecture series in mathematics and its applications. New York (NY): Oxford University Press; 1999.
  • Nguetseng G. A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 1989;20:608–623.
  • Auriault JL, Ene H. Macroscopic modelling of heat transfer in composites with interfacial thermal barrier. Int. J. Heat Mass Transfer. 1994;37:2885–2892.
  • Lipton R. Heat conduction in fine scale mixtures with interfacial contact resistance. SIAM J. Appl. Math. 1998;58:55–72.
  • Donato P, Le Nguyen KH, Tardieu R. The periodic unfolding method for a class of imperfect transmission problems. Problems in mathematical analysis. No. 58. J. Math. Sci. (NY). 2011;176:891–927.
  • Donato P, Monsurrò S. Homogenization of two heat conductors with interfacial contact resistance. Anal. Appl. 2004;2:247–273.
  • Monsurrò S. Homogenization of a two-component composite with interfacial thermal barrier. Adv. Math. Sci. Appl. 2003;13:43–63.
  • Heida M. Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities. Appl. Anal. 2012;91:1243–1264.
  • Zhikov VV, Pyatnitskiĭ AL. Homogenization of random singular structures and random measures. Izv. Ross. Akad. Nauk Ser. Mat. 2006;70:23–74.
  • Cioranescu D, Saint Jean-Paulin J. Homogenization in open sets with holes. J. Math. Anal. Appl. 1979;71:590–607.

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.