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Volumn 18, Issue 6, 2005, Pages 2815-2825

A new proof on axisymmetric equilibria of a three-dimensional Smoluchowski equation

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EID: 26944494507     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/18/6/021     Document Type: Article
Times cited : (44)

References (21)
  • 1
    • 2742559065 scopus 로고
    • A constitutive equation for liquid crystalline polymer solutions
    • Bhave A V, Menon R K, Armstrong R C and Brown R A 1993 A constitutive equation for liquid crystalline polymer solutions J. Rheol. 37 413-41
    • (1993) J. Rheol. , vol.37 , Issue.3 , pp. 413-441
    • Bhave, A.V.1    Menon, R.K.2    Armstrong, R.C.3    Brown, R.A.4
  • 5
    • 11844304961 scopus 로고    scopus 로고
    • Note on the number of steady states for a two-dimensional Smoluchowski equation
    • Constantin P and Vukadinovic J 2005 Note on the number of steady states for a two-dimensional Smoluchowski equation Nonlinearity 18 441-3
    • (2005) Nonlinearity , vol.18 , Issue.1 , pp. 441-443
    • Constantin, P.1    Vukadinovic, J.2
  • 6
    • 36549098370 scopus 로고
    • The effect of steady flow fields on the isotropic-nematic phase transition of rigid rod-like polymers
    • Doi H M and Larson R G 1990 The effect of steady flow fields on the isotropic-nematic phase transition of rigid rod-like polymers J. Chem. Phys. 92 792-800
    • (1990) J. Chem. Phys. , vol.92 , Issue.1 , pp. 792-800
    • Doi, H.M.1    Larson, R.G.2
  • 9
    • 26944484957 scopus 로고    scopus 로고
    • A note on the Onsager model of nematic phase transitions
    • Fatkullin I and Slastikov V 2005 A note on the Onsager model of nematic phase transitions Commun. Math. Sci. 3 21-6
    • (2005) Commun. Math. Sci. , vol.3 , pp. 21-26
    • Fatkullin, I.1    Slastikov, V.2
  • 10
    • 0034207380 scopus 로고    scopus 로고
    • Exact banded patterns from a Doi-Marrucci-Greco model of nematic liquid crystal polymers
    • Forest M G, Wang Q and Zhou H 2000 Exact banded patterns from a Doi-Marrucci-Greco model of nematic liquid crystal polymers Phys. Rev. E 61 6655-62
    • (2000) Phys. Rev. , vol.61 , Issue.6 , pp. 6655-6662
    • Forest, M.G.1    Wang, Q.2    Zhou, H.3
  • 11
    • 0034037116 scopus 로고    scopus 로고
    • Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows
    • Forest M G, Wang Q and Zhou H 2000 Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows Phys. Fluids 12 490-8
    • (2000) Phys. Fluids , vol.12 , Issue.3 , pp. 490-498
    • Forest, M.G.1    Wang, Q.2    Zhou, H.3
  • 12
    • 0035011165 scopus 로고    scopus 로고
    • On the flow-phase diagram for discotic liquid crystals in uniaxial extension and compression
    • Forest M G, Wang Q and Zhou H 2001 On the flow-phase diagram for discotic liquid crystals in uniaxial extension and compression Liq. Cryst. 28 717-20
    • (2001) Liq. Cryst. , vol.28 , Issue.5 , pp. 717-720
    • Forest, M.G.1    Wang, Q.2    Zhou, H.3
  • 13
    • 1842481276 scopus 로고    scopus 로고
    • The weak shear kinetic phase diagram for nematic polymers
    • Forest M G, Wang Q and Zhou R 2004 The weak shear kinetic phase diagram for nematic polymers Rheol. Acta 43 17-37
    • (2004) Rheol. Acta , vol.43 , Issue.1 , pp. 17-37
    • Forest, M.G.1    Wang, Q.2    Zhou, R.3
  • 14
    • 41349096618 scopus 로고    scopus 로고
    • Symmetries of the Doi kinetic theory for nematic polymers of arbitrary aspect ratio: At rest and in linear flows
    • Forest M G, Zhou R and Wang Q 2002 Symmetries of the Doi kinetic theory for nematic polymers of arbitrary aspect ratio: at rest and in linear flows Phys. Rev. E 66 031712
    • (2002) Phys. Rev. , vol.66 , pp. 031712
    • Forest, M.G.1    Zhou, R.2    Wang, Q.3
  • 15
    • 0037283001 scopus 로고    scopus 로고
    • Full-tensor alignment criteria for sheared nematic polymers
    • Forest M G, Zhou R and Wang Q 2003 Full-tensor alignment criteria for sheared nematic polymers J. Rheol. 47 105-27
    • (2003) J. Rheol. , vol.47 , Issue.1 , pp. 105-127
    • Forest, M.G.1    Zhou, R.2    Wang, Q.3
  • 16
    • 0026257072 scopus 로고
    • Effect of molecular elasticity on out-of-plane orientations in shearing flows of liquid-crystalline polymers
    • Larson R and Ottinger H 1991 Effect of molecular elasticity on out-of-plane orientations in shearing flows of liquid-crystalline polymers Macromolecules 24 6270-82
    • (1991) Macromolecules , vol.24 , Issue.23 , pp. 6270-6282
    • Larson, R.1    Ottinger, H.2
  • 17
    • 26944448390 scopus 로고    scopus 로고
    • Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential
    • Liu H, Zhang H and Zhang P 2005 Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential Commun. Math. Sci. 3 201-18
    • (2005) Commun. Math. Sci. , vol.3 , pp. 201-218
    • Liu, H.1    Zhang, H.2    Zhang, P.3
  • 18
    • 11844283929 scopus 로고    scopus 로고
    • The structure of equilibrium solutions of the one-dimensional Doi equation
    • Luo C, Zhang H and Zhang P 2005 The structure of equilibrium solutions of the one-dimensional Doi equation Nonlinearity 18 379-89
    • (2005) Nonlinearity , vol.18 , Issue.1 , pp. 379-389
    • Luo, C.1    Zhang, H.2    Zhang, P.3
  • 19
    • 0000655513 scopus 로고
    • A simple molecular statistical theory of the nematic crystalline-liquid phase. I
    • Maier W and Saupe A 1959 A simple molecular statistical theory of the nematic crystalline-liquid phase. I Z. Naturf. a 14 882-9
    • (1959) Z. Naturf. , vol.14 , pp. 882-889
    • Maier, W.1    Saupe, A.2
  • 20
    • 84971301149 scopus 로고
    • The effects of shape on the interaction of colloidal particles
    • Onsager L 1949 The effects of shape on the interaction of colloidal particles Ann. N. Y. Acad. Sci. 51 627-59
    • (1949) Ann. N. Y. Acad. Sci. , vol.51 , pp. 627-659
    • Onsager, L.1
  • 21
    • 0000134530 scopus 로고    scopus 로고
    • Comparative studies on closure approximations in flows of liquid crystal polymers. I. Elongational flows
    • Wang Q 1997 Comparative studies on closure approximations in flows of liquid crystal polymers. I. Elongational flows J. Non-Newtonian Fluid Mech. 72 141-62
    • (1997) J. Non-Newtonian Fluid Mech. , vol.72 , Issue.2-3 , pp. 141-162
    • Wang, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.