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Volumn 277, Issue 2, 2008, Pages 531-553

On the global existence of smooth solution to the 2-D FENE dumbbell model

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EID: 36448949849     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0385-1     Document Type: Article
Times cited : (73)

References (24)
  • 1
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • Beale J.T., Kato T., Majda A. (1984). Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Comm. Math. Phys. 94: 61-66
    • (1984) Comm. Math. Phys. , vol.94 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 2
    • 21844481531 scopus 로고
    • Équations de transport relatives á des champs de vecteurs non-lipschitziens et mécanique des fluids
    • Bahouri H., Chemin J.Y. (1994). Équations de transport relatives á des champs de vecteurs non-lipschitziens et mécanique des fluids. Arch. Ration. Mech. Anal. 127: 159-181
    • (1994) Arch. Ration. Mech. Anal. , vol.127 , pp. 159-181
    • Bahouri, H.1    Chemin, J.Y.2
  • 3
    • 18844385711 scopus 로고    scopus 로고
    • Existence of global weak solutions for some polymeric flow models
    • Barrett J.W., Schwab C., Süli E. (2005). Existence of global weak solutions for some polymeric flow models. Math. Models Methods Appl. Sci. 15: 939-983
    • (2005) Math. Models Methods Appl. Sci. , vol.15 , pp. 939-983
    • Barrett, J.W.1    Schwab, C.2    Süli, E.3
  • 5
    • 0001191104 scopus 로고
    • Calcul symbolique et propagation des singularités pour les quations aux drivées partielles non linéaires
    • Bony J.M. (1981). Calcul symbolique et propagation des singularités pour les quations aux drivées partielles non linéaires. Ann. Sci. École Norm. Sup., (4), 14: 209-246
    • (1981) Ann. Sci. École Norm. Sup., (4) , vol.14 , pp. 209-246
    • Bony, J.M.1
  • 7
    • 0033475430 scopus 로고    scopus 로고
    • Théormes d'unicité pour le systéme de Navier-Stokes tridimensionnel
    • Chemin J.Y. (1999). Théormes d'unicité pour le systéme de Navier-Stokes tridimensionnel. J. Anal. Math. 77: 27-50
    • (1999) J. Anal. Math. , vol.77 , pp. 27-50
    • Chemin, J.Y.1
  • 8
    • 0035527616 scopus 로고    scopus 로고
    • About lifespan of regular solutions of equations related to viscoelastic fluid
    • Chemin J.Y., Masmoudi N. (2001). About lifespan of regular solutions of equations related to viscoelastic fluid. SIAM. J. Math. Anal. 33: 84-112
    • (2001) SIAM. J. Math. Anal. , vol.33 , pp. 84-112
    • Chemin, J.Y.1    Masmoudi, N.2
  • 9
    • 33846847786 scopus 로고    scopus 로고
    • Regularity for coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems
    • Constantin P., Fefferman C., Titi E., Zarnescu A. (2007). Regularity for coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Commun. Math. Phys. 270: 789-811
    • (2007) Commun. Math. Phys. , vol.270 , pp. 789-811
    • Constantin, P.1    Fefferman, C.2    Titi, E.3    Zarnescu, A.4
  • 10
    • 38049042966 scopus 로고    scopus 로고
    • Global well-posdness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
    • DOI:10.1007/s00220-007-0384-2
    • Constantin, P., Masmoudi, N.: Global well-posdness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Commun. Math. Phys., DOI:10.1007/s00220-007-0384-2
    • Commun. Math. Phys.
    • Constantin, P.1    Masmoudi, N.2
  • 12
    • 33646692641 scopus 로고    scopus 로고
    • FENE dumbbell model and its several linear and nonlinear closure approximations
    • Du Q., Liu C., Yu P. (2005). FENE dumbbell model and its several linear and nonlinear closure approximations. Multiscale Model. Simul. 4: 709-731
    • (2005) Multiscale Model. Simul. , vol.4 , pp. 709-731
    • Du, Q.1    Liu, C.2    Yu, P.3
  • 13
    • 3242687156 scopus 로고    scopus 로고
    • Well-posedness for the dumbbell model of polymeric fluids
    • 2
    • Weinan E., Li T.J., Zhang P.W. (2004). Well-posedness for the dumbbell model of polymeric fluids. Commun. Math. Phys. 248(2): 409-427
    • (2004) Commun. Math. Phys. , vol.248 , pp. 409-427
    • Weinan, E.1    Li, T.J.2    Zhang, P.W.3
  • 14
    • 12144286593 scopus 로고    scopus 로고
    • Existence of solution for a micro-macro model of polymeric fluid: The FENE model
    • Jourdain B., Leliévre T., Le Bris C. (2004). Existence of solution for a micro-macro model of polymeric fluid: the FENE model. J. Funct. Anal. 209: 162-193
    • (2004) J. Funct. Anal. , vol.209 , pp. 162-193
    • Jourdain, B.1    Leliévre, T.2    Le Bris, C.3
  • 15
    • 33646682174 scopus 로고    scopus 로고
    • Long-time asymptotics of a multiscale model for polymeric fluid flows
    • Jourdain B., Leliévre T., Le Bris C., Otto F. (2006). Long-time asymptotics of a multiscale model for polymeric fluid flows. Arch. Ration. Mech. Anal. 181: 97-148
    • (2006) Arch. Ration. Mech. Anal. , vol.181 , pp. 97-148
    • Jourdain, B.1    Leliévre, T.2    Le Bris, C.3    Otto, F.4
  • 16
    • 36448972201 scopus 로고    scopus 로고
    • The FENE dumbell model near equilibrium
    • in press
    • Lin, F., Zhang, P.: The FENE dumbell model near equilibrium. Acta Math. Sin. (2007, in press)
    • (2007) Acta Math. Sin.
    • Lin, F.1    Zhang, P.2
  • 17
    • 27844607354 scopus 로고    scopus 로고
    • On hydrodynamics of viscoelastic fluids
    • Lin F., Liu C., Zhang P. (2005). On hydrodynamics of viscoelastic fluids. Comm. Pure Appl. Math. 58: 1437-1471
    • (2005) Comm. Pure Appl. Math. , vol.58 , pp. 1437-1471
    • Lin, F.1    Liu, C.2    Zhang, P.3
  • 18
    • 34247498198 scopus 로고    scopus 로고
    • On a Micro-Macro Model for Polymeric Fluids near Equilibrium
    • 6
    • Lin F., Liu C., Zhang P. (2007). On a Micro-Macro Model for Polymeric Fluids near Equilibrium. Comm. Pure Appl. Math. 60(6): 838-866
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 838-866
    • Lin, F.1    Liu, C.2    Zhang, P.3
  • 19
    • 0034381125 scopus 로고    scopus 로고
    • Global solutions for some Oldroyd models of non-Newtonian flows
    • Lions P.L., Masmoudi N. (2000). Global solutions for some Oldroyd models of non-Newtonian flows. Chinese Ann. Math. Ser. B 21: 131-146
    • (2000) Chinese Ann. Math. Ser. B , vol.21 , pp. 131-146
    • Lions, P.L.1    Masmoudi, N.2
  • 20
    • 0032115840 scopus 로고    scopus 로고
    • The sharp constant in Hardy's inequality for complement of bounded domain
    • Matskewich T., Sobolevskii P.E. (1998). The sharp constant in Hardy's inequality for complement of bounded domain. Nonlinear Anal. 33: 105-120
    • (1998) Nonlinear Anal. , vol.33 , pp. 105-120
    • Matskewich, T.1    Sobolevskii, P.E.2
  • 21
    • 0037208062 scopus 로고    scopus 로고
    • An extension of the Beale-Kato-Majda criterion for the Euler equations
    • Planchon F. (2003). An extension of the Beale-Kato-Majda criterion for the Euler equations. Commun. Math. Phys. 232: 319-326
    • (2003) Commun. Math. Phys. , vol.232 , pp. 319-326
    • Planchon, F.1
  • 22
    • 0005228558 scopus 로고
    • An existence theorem for model equations resulting from kinetic theories of polymer solutions
    • Renardy M. (1991). An existence theorem for model equations resulting from kinetic theories of polymer solutions. SIAM J. Math. Anal. 22: 313-327
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 313-327
    • Renardy, M.1
  • 23
    • 0003295738 scopus 로고
    • Theory of function spaces
    • Basel: Birkhauser Verlag
    • Triebel, H.: Theory of Function Spaces. Monograph in mathematics, Vol. 78, Basel: Birkhauser Verlag, 1983
    • (1983) Monograph in Mathematics , vol.78
    • Triebel, H.1
  • 24
    • 33646894129 scopus 로고    scopus 로고
    • Local existence for the FENE-dumbbell model of polymeric fluids
    • Zhang H., Zhang P.W. (2006). Local existence for the FENE-dumbbell model of polymeric fluids. Arch. Ration. Mech. Anal. 181: 373-400
    • (2006) Arch. Ration. Mech. Anal. , vol.181 , pp. 373-400
    • Zhang, H.1    Zhang, P.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.