147
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Orientable and Non-Orientable Line Field Models for Uniaxial Nematic Liquid Crystals

&
Pages 221/[573]-233/[585] | Published online: 30 Jan 2009

REFERENCES

  • Frank , F. C. ( 1958 ). Disc. Faraday Soc. , 25 .
  • De Gennes , P. G. & Prost , J. ( 1995 ). The Physics of Liquid Crystals, , 2nd ed. , Oxford University Press : Oxford , New York .
  • Cloutier , S. G. , Eakin , J. N. , Guico , R. S. , Sousa , M. E. , Crawford , G. P. , & Xu , J. M. ( 2006 ). Phys. Rev. E , 73 , 051703 .
  • Mottram , N. J. & Newton , C. ( 2004 ). Introduction to Q-tensor Theory, University of Strathclyde, Department of Mathematics research report, 2004:10. .
  • Vissenberg , M. C. J. M. , Stallinga , S. , & Vertogen , G. ( 1997 ). Phys. Rev. E , 55 , 4367 .
  • Longa , L. , Trebin , H.-R. (1998). Phys. Rev. A , 39, 2160.
  • Ball , J. M. ( 1982 ). Phil. Trans. Royal Soc. London A , 306 , 557 – 611 .
  • Ball , J. M. ( 2001 ). Foundations of Computational Mathematics . In: London Mathematical Society Lecture Note Series , DeVore , R. , Iserles , A. , & Süli , E. (Eds.), Cambridge University Press , Cambridge , Vol. 284 , pp 1 – 20 .
  • Evans , L. C. ( 1998 ). Partial differential equations, Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, RI. .
  • Renardy , M. & Rogers , R. C. ( 2004 ). An introduction to partial differential equations., , Second edition . Texts in Applied Mathematics , 13 . Springer-Verlag : New York .
  • Ball , J. M. & Zarnescu , A. in preparation
  • Bethuel , F. & Chiron, D. ( 2007 ). Perspectives in nonlinear partial differential equations . In: Contemporary Mathematics , Berestycki , H. (Ed.), American Mathematical Society : Providence , RI , Vol. 446 , 125 – 152 .
  • Bethuel , F. , Brezis , H. , Coleman , B. D. & Hélein , F. ( 1992 ). Arch. Rational Mech. Anal. , 118 , no. 2 , 149 – 168 .
  • Milnor , J. M. ( 1965 ). Topology from the differentiable viewpoint. Based on notes by David W. Weaver , The University Press of Virginia , Charlottesville , Va .
  • Hirsch , M. W. ( 1994 ). Differential topology , Graduate Texts in Mathematics , 33 . Springer-Verlag : New York .

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.