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Original Articles

Nematodynamics and random homogenization

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Pages 2243-2253 | Received 16 Dec 2014, Accepted 28 Mar 2015, Published online: 27 Apr 2015

References

  • Marchenko VA, Khruslov EYa. Boundary value problems in domains with fine-grain boundary [in Russian]. Kiev: Naukova Dumka; 1974.
  • Bensoussan A, Lions J-L, Papanicolau G. Asymptotic analysis for periodic structures. Amsterdam: North-Holland; 1978.
  • Bakhvalov NS, Panasenko GP. Averaging processes in periodic media. Dordrecht: Kluwer Academic Publisher; 1989.
  • Sánchez-Palencia E. Homogenization techniques for composite media. Berlin: Springer; 1987.
  • Jikov VV, Kozlov SM, Oleinik OA. Homogenization of differential operators and integral functionals. Berlin: Springer; 1994.
  • Marchenko VA, Khruslov EYa. Homogenized models of micro-inhomogeneous media. Kiev: Naukova Dumka; 2005.
  • Chechkin GA, Piatnitski AL, Shamaev AS. Homogenization. Methods and applications. Providence (RI): American Mathematical Society; 2007.
  • De Gennes PG, Prost J. The physics of liquid crystals. Oxford: Clarendon Press; 1993.
  • Lin F-H, Liu C. Existence of solutions for the Ericksen–Leslie system. Arch. Ration. Mech. Anal. 2000;154:135–156.
  • Coutand D, Shkoller S. Well-posedness of the full Ericksen–Leslie model of nematic liquid crystals. C.R. Acad. Sci. Paris. 2001;333:919–924.
  • Shkoller S. Well-posedness and global attractors for liquid crystals on Riemannian manifolds. Commun. Partial Differ. Equ. 2002;27:1103–1137.
  • Lions J.-L. On some questions in boundary value problems of mathematical physics. Contemporary developments in continuum mechanics and partial differential equations. In: Proceedings of the International Symposium on Continuum Mechanics and Partial Differential Equations; 1977; Rio de Janeiro. Amsterdam: North-Holland; 1978. p. 285–346. (North-Holland Mathematics Studies; vol. 30).
  • Ladyzhenskaya OA, Solonnikov VA, Uraltseva NN. Linear and quasilinear equations of parabolic type. Providence (RI): American Mathematical Society; 1968.

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