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Volumn 285, Issue 3, 2009, Pages 975-990

Inertial manifolds for a Smoluchowski equation on the unit sphere

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EID: 58149492979     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-008-0460-2     Document Type: Article
Times cited : (20)

References (27)
  • 2
    • 44949114989 scopus 로고    scopus 로고
    • Smoluchowski Navier-Stokes systems
    • P. Constantin 2007 Smoluchowski Navier-Stokes systems Contemp. Math. 429 85 109
    • (2007) Contemp. Math. , vol.429 , pp. 85-109
    • Constantin, P.1
  • 3
    • 0003983878 scopus 로고
    • Integral and inertial manifolds for dissipative partial differential equations
    • New York: Springer-Verlag
    • Constantin, P., Foias, C., Nicolaenko, B., Temam, R.: Integral and inertial manifolds for dissipative partial differential equations. Applied Math. Sciences 70, New York: Springer-Verlag, 1989
    • (1989) Applied Math. Sciences , vol.70
    • Constantin, P.1    Foias, C.2    Nicolaenko, B.3    Temam, R.4
  • 4
    • 0003088833 scopus 로고
    • Spectral barriers and inertial manifolds for dissipative partial differential equations
    • P. Constantin C. Foias B. Nicolaenko R. Temam 1988 Spectral barriers and inertial manifolds for dissipative partial differential equations J. Dynam. Diff. Eq. 1 45 73
    • (1988) J. Dynam. Diff. Eq. , vol.1 , pp. 45-73
    • Constantin, P.1    Foias, C.2    Nicolaenko, B.3    Temam, R.4
  • 7
    • 26444613884 scopus 로고    scopus 로고
    • Dissipativity and Gevrey regularity of a Smoluchowski equation
    • 44
    • P. Constantin E.S. Titi J. Vukadinovic 2005 Dissipativity and Gevrey regularity of a Smoluchowski equation Indiana Univ. Math. J. 54 44 949 970
    • (2005) Indiana Univ. Math. J. , vol.54 , pp. 949-970
    • Constantin, P.1    Titi, E.S.2    Vukadinovic, J.3
  • 8
    • 11844304961 scopus 로고    scopus 로고
    • 2004 Note on the number of steady states for a 2D Smoluchowski equation 2005
    • P. Constantin J. Vukadinovic 2005 2004 Note on the number of steady states for a 2D Smoluchowski equation 2005 Nonlinearity 18 441 443
    • (2005) Nonlinearity , vol.18 , pp. 441-443
    • Constantin, P.1    Vukadinovic, J.2
  • 10
    • 0001098077 scopus 로고
    • Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases
    • M. Doi 1981 Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases J. Polym. Sci., Polym. Phys. Ed. 19 229 243
    • (1981) J. Polym. Sci., Polym. Phys. Ed. , vol.19 , pp. 229-243
    • Doi, M.1
  • 12
    • 0000156539 scopus 로고    scopus 로고
    • The rigid rodmodel for nematic polymers: An analysis of the shear flow problem
    • 3
    • F. Faraoni M. Grosso S. Crescitelli P.L. Maffetone 1999 The rigid rodmodel for nematic polymers: An analysis of the shear flow problem J. Rheol. 43 3 829 843
    • (1999) J. Rheol. , vol.43 , pp. 829-843
    • Faraoni, F.1    Grosso, M.2    Crescitelli, S.3    Maffetone, P.L.4
  • 13
    • 26944481099 scopus 로고    scopus 로고
    • Critical points of the Onsager functional on a sphere
    • I. Fatkullin V. Slastikov 2005 Critical points of the Onsager functional on a sphere Nonlinearity 18 2565 2580
    • (2005) Nonlinearity , vol.18 , pp. 2565-2580
    • Fatkullin, I.1    Slastikov, V.2
  • 14
    • 0001047390 scopus 로고
    • Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
    • C. Foias B. Nikolaenko G.R. Sell R. Temam 1988 Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension J. Math. Pures Appl. 67 197 226
    • (1988) J. Math. Pures Appl. , vol.67 , pp. 197-226
    • Foias, C.1    Nikolaenko, B.2    Sell, G.R.3    Temam, R.4
  • 15
    • 0011603722 scopus 로고
    • Variétés inertielles des équations differeéntielles dissipatives
    • C. Foias G.R. Sell R. Temam 1985 Variétés inertielles des équations differeéntielles dissipatives C. R. Acad. Sci. Paris I 301 285 288
    • (1985) C. R. Acad. Sci. Paris i , vol.301 , pp. 285-288
    • Foias, C.1    Sell, G.R.2    Temam, R.3
  • 16
    • 0000640733 scopus 로고
    • Inertial manifolds for nonlinear evolutionary equations
    • C. Foias G.R. Sell R. Temam 1988 Inertial manifolds for nonlinear evolutionary equations J. Diff. Eq. 73 309 353
    • (1988) J. Diff. Eq. , vol.73 , pp. 309-353
    • Foias, C.1    Sell, G.R.2    Temam, R.3
  • 17
    • 65549147428 scopus 로고
    • Fokker-Planck-equation approach to flow alignment in liquid crystals
    • S.Z. Hess 1976 Fokker-Planck-equation approach to flow alignment in liquid crystals Z. Naturforsch. A 31 A 1034 1037
    • (1976) Z. Naturforsch. A , vol.31 , pp. 1034-1037
    • Hess, S.Z.1
  • 18
    • 26944448390 scopus 로고    scopus 로고
    • Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential
    • 2
    • H. Liu H. Zhang P. Zhang 2005 Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential Comm. Math. Sci. 3 2 201 218
    • (2005) Comm. Math. Sci. , vol.3 , pp. 201-218
    • Liu, H.1    Zhang, H.2    Zhang, P.3
  • 19
    • 11844283929 scopus 로고    scopus 로고
    • The structure of equilibrium solutions of one dimensional Doi equation
    • C. Luo H. Zhang P. Zhang 2005 The structure of equilibrium solutions of one dimensional Doi equation Nonlinearity 18 379 389
    • (2005) Nonlinearity , vol.18 , pp. 379-389
    • Luo, C.1    Zhang, H.2    Zhang, P.3
  • 20
    • 0029347345 scopus 로고
    • Bifurcation analysis of a molecular model for nematic polymers in shear flows
    • P.L. Maffettone S. Crescitelli 1995 Bifurcation analysis of a molecular model for nematic polymers in shear flows J. Non-Newtonian Fluid Mech. 59 73 91
    • (1995) J. Non-Newtonian Fluid Mech. , vol.59 , pp. 73-91
    • Maffettone, P.L.1    Crescitelli, S.2
  • 21
    • 84968508885 scopus 로고
    • Inertial manifolds for reaction diffusion equations in higher space dimensions
    • J. Mallet-Paret G.R. Sell 1988 Inertial manifolds for reaction diffusion equations in higher space dimensions J. Amer. Math. Soc. 1 805 866
    • (1988) J. Amer. Math. Soc. , vol.1 , pp. 805-866
    • Mallet-Paret, J.1    Sell, G.R.2
  • 22
    • 84942965991 scopus 로고
    • Eine einfache molekular-statistische Theorie der nematischen kristallinflüssigen phase, tail i
    • W. Maier A. Saupe 1959 Eine einfache molekular-statistische Theorie der nematischen kristallinflüssigen phase, tail I Z. Naturforsch. A 14 A 882 889
    • (1959) Z. Naturforsch. A , vol.14 , pp. 882-889
    • Maier, W.1    Saupe, A.2
  • 23
    • 84971301149 scopus 로고
    • The effects of shape on the interaction of colloidal particles
    • L. Onsager 1949 The effects of shape on the interaction of colloidal particles Ann. N. Y. Acad. Sci 51 627 659
    • (1949) Ann. N. Y. Acad. Sci , vol.51 , pp. 627-659
    • Onsager, L.1
  • 24
    • 0000005730 scopus 로고
    • Inertial manifolds and the cone condition
    • J.C. Robinson 1993 Inertial manifolds and the cone condition Dyn. Sys. Appl. 2 311 330
    • (1993) Dyn. Sys. Appl. , vol.2 , pp. 311-330
    • Robinson, J.C.1
  • 25
    • 0000002115 scopus 로고
    • A concise proof of the geometric construction of inertial manifolds
    • J.C. Robinson 1995 A concise proof of the geometric construction of inertial manifolds Phys. Lett. A 200 415 417
    • (1995) Phys. Lett. A , vol.200 , pp. 415-417
    • Robinson, J.C.1


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