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Volumn 5, Issue 2, 1998, Pages 265-281

Spatio-temporal patterns in the thermoconvection of a planar nematic layer: I. Weakly nonlinear models

Author keywords

42.70.Dr Surface tensio driven instability; 47.20.Bp Buoyancy driven instability; 47.20.Ky Nonlinearity (including bifurcation theory)

Indexed keywords

BIFURCATION (MATHEMATICS); BUOYANCY; HEAT CONVECTION; HYDRODYNAMICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; POINT DEFECTS; STABILITY; SURFACE TENSION; VECTORS;

EID: 0032290603     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050444     Document Type: Article
Times cited : (9)

References (38)
  • 1
  • 5
    • 0039452923 scopus 로고
    • E. Guyon, P. Pieranski, C.R. Acad. Sci. 274, 656 (1972); E. Dubois-Violette, E. Guyon, P. Pieranski, Mol. Cryst. Liq. Cryst. 26, 193 (1974).
    • (1972) C.R. Acad. Sci. , vol.274 , pp. 656
    • Guyon, E.1    Pieranski, P.2
  • 7
    • 0001151441 scopus 로고
    • and also the contribution of G. Ahlers in [2]
    • See L.I. Berge, G. Ahlers, D.S. Cannell, Phys. Rev. E 48, R3236 (1993), and also the contribution of G. Ahlers in [2].
    • (1993) Phys. Rev. E , vol.48
    • Berge, L.I.1    Ahlers, G.2    Cannell, D.S.3
  • 8
    • 0038860104 scopus 로고
    • E. Dubois-Violette, C.R. Acad. Sci. 273, 923 (1971); E. Dubois-Violette, Solid State Commun. 14, 767 (1974).
    • (1971) C.R. Acad. Sci. , vol.273 , pp. 923
    • Dubois-Violette, E.1
  • 12
    • 0032297448 scopus 로고    scopus 로고
    • second part of this paper (experiments)
    • E. Plaut, L. Pastur, R. Ribotta, second part of this paper (experiments), Eur. Phys. J. B 5, 283 (1998).
    • (1998) Eur. Phys. J. B , vol.5 , pp. 283
    • Plaut, E.1    Pastur, L.2    Ribotta, R.3
  • 13
    • 12044252828 scopus 로고
    • See M.C. Cross, P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993), or A.C. Newell, T. Passot, J. Lega, Annu. Rev. Fluid Mech. 25, 399 (1993).
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851
    • Cross, M.C.1    Hohenberg, P.C.2
  • 16
    • 85033913865 scopus 로고    scopus 로고
    • note
    • = · dS. In [1] was used a different convention which transposes the stress tensor.
  • 18
    • 85033921846 scopus 로고    scopus 로고
    • note
    • In [8] a formula analogous to (3.17) has been given, but it suffered from several misprint errors, and moreover the neutral modes were not explicited.
  • 19
    • 85033926316 scopus 로고    scopus 로고
    • note
    • c = 3.1163/π = 0.9920, less than 1.2%.
  • 20
    • 85033925541 scopus 로고    scopus 로고
    • note
    • Additionally, we do not split in (4.11) the contributions of the couplings according to equation 4.5. If this would be done a much longer diagram would be obtained, which would be more complicated to interpret. Preferentially, the splitting should only be performed a posteriori for the important terms, if one wants to analyze them in details.
  • 21
    • 85033915593 scopus 로고    scopus 로고
    • note
    • z(q) is typically large at intermediate h, since according to equation 3.13 the velocity modulation becomes larger with increasing h in comparison with the director distortion.
  • 28
    • 85033915149 scopus 로고    scopus 로고
    • note
    • 0(k) can get very large for k far from q.
  • 37
    • 85033914776 scopus 로고    scopus 로고
    • Ph.D. thesis, Université d'Orsay
    • E. Plaut, Ph.D. thesis, Université d'Orsay, 1996.
    • (1996)
    • Plaut, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.