Line disclination dynamics in uniaxial nematic liquid crystals

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 53, Issue 1, 2000, Pages 49-71

  Richardson, G ^a,b  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; FLUID DYNAMICS; MATHEMATICAL MODELS;

FIELD EQUATIONS; FLUID VELOCITY; FORMAL ASYMPTOTICS; LINE DISCLINATION DYNAMICS;

NEMATIC LIQUID CRYSTALS;

EID: 0033884122     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmam/53.1.49     Document Type: Article

References (22)

1. F. C. Frank, Discuss. Faraday Soc. 25 (1958) 19.
2. C. W. Oseen, Trans. Faraday Soc. 29 (1933) 883.
3. J. L. Ericksen, Res. Mechanica 21 (1987) 381.
4. _, Arch. rational Mech. Anal. 4 (1960) 231.
5. F. M. Leslie, Adv. Liquid Crystals 4 (1979) 1 .
6. _, Q. Jl Mech. appl. Math. 19 (1966) 357.
7. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (University Press, Oxford 1993).
8. J. L. Ericksen, Arch. rational Mech. Anal. 113 (1991) 97.
9. P. G. de Gennes, Mol. Cryst. Liq. Cryst. 12 (1971) 193.
10. C. Denniston, Phys. Rev. B 54 (1996) 9.
11. L. M. Pismen and J. Rubinstein, Q. appl. Math. 50 (1992) 535.
12. N. J. Mottram and S. J. Hogan, Phil. Trans. R. Soc. to appear.
13. L. Peres and J. Rubinstein, Physica D 64 (1993) 1, 299.
14. S. J. Chapman and G. Richardson, SIAM J. appl. Math. 55 (1995) 1275.
15. J. C. Neu, Physica D 43 (1990) 385.
16. A. Schmid, Physik der Kondensierten Materie 5 (1966) 302.
17. S. Chandrasekhar, Liquid Crystals (University Press, Cambridge 1992).
18. M. S. Berger and Y. Y. Chen, J. Funct. Anal. 82 (1989) 259.
19. M. Van Dyke, Perturbation Methods in Fluid Dynamics §5 (Parabolic Press 1975).
20. C. W. Oseen, Ark. f. Mat. Astr. og Fys. 6 (1910) 29.
21. I. Proudman and J. R. A. Pearson, J. Fluid Mech. 2 (1957) 237.
22. S. Tomotika and T. Aoi, Q. Jl Mech. appl. Math. 3 (1950) 140.