메뉴 건너뛰기




Volumn 303, Issue 2, 2011, Pages 361-383

Global Well-Posedness for the 2D Micro-Macro Models in the Bounded Domain

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79953067114     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-010-1170-0     Document Type: Article
Times cited : (27)

References (34)
  • 1
    • 18844385711 scopus 로고    scopus 로고
    • Existence of global weak solutions for some polymeric flow models
    • Barrett J. W., Schwab C., Süli E.: Existence of global weak solutions for some polymeric flow models. Math. Models Methods Appl. Sci. 15, 939-983 (2005).
    • (2005) Math. Models Methods Appl. Sci. , vol.15 , pp. 939-983
    • Barrett, J.W.1    Schwab, C.2    Süli, E.3
  • 3
    • 21844481531 scopus 로고
    • Équations de transport relatives á des champs de vecteurs non-lipschitziens et mécanique des fluides
    • Bahouri H., Chemin J. Y.: Équations de transport relatives á des champs de vecteurs non-lipschitziens et mécanique des fluides. Arch. Rational Mech. Anal. 127, 159-181 (1994).
    • (1994) Arch. Rational Mech. Anal. , vol.127 , pp. 159-181
    • Bahouri, H.1    Chemin, J.Y.2
  • 4
    • 0035527616 scopus 로고    scopus 로고
    • About lifespan of regular solutions of equations related to viscoelastic fluid
    • Chemin J. Y., Masmoudi N.: About lifespan of regular solutions of equations related to viscoelastic fluid. SIAM. J. Math. Anal. 33, 84-112 (2001).
    • (2001) SIAM. J. Math. Anal. , vol.33 , pp. 84-112
    • Chemin, J.Y.1    Masmoudi, N.2
  • 5
    • 33750911794 scopus 로고    scopus 로고
    • The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions
    • Chen Y., Zhang P.: The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions. Comm. Part. Diff. Eq. 31, 1793-1810 (2006).
    • (2006) Comm. Part. Diff. Eq. , vol.31 , pp. 1793-1810
    • Chen, Y.1    Zhang, P.2
  • 6
    • 33745419628 scopus 로고    scopus 로고
    • Nonlinear Fokker-Planck Navier-Stokes systems
    • Constantin P.: Nonlinear Fokker-Planck Navier-Stokes systems. Commun. Math. Sci. 3, 531-544 (2005).
    • (2005) Commun. Math. Sci. , vol.3 , pp. 531-544
    • Constantin, P.1
  • 7
    • 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.: Regularity for coupled two-dimensional nonlinear Fokker-Planck and Navier-Stokes systems. Comm. Math. Phys. 270, 789-811 (2007).
    • (2007) Comm. Math. Phys. , vol.270 , pp. 789-811
    • Constantin, P.1    Fefferman, C.2    Titi, E.3    Zarnescu, A.4
  • 8
    • 38049042966 scopus 로고    scopus 로고
    • Global well-posdness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
    • Constantin P., Masmoudi N.: Global well-posdness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D. Comm. Math. Phys. 278, 179-191 (2008).
    • (2008) Comm. Math. Phys. , vol.278 , pp. 179-191
    • Constantin, P.1    Masmoudi, N.2
  • 9
    • 77950277727 scopus 로고    scopus 로고
    • Global Regulatity of Solutions of Coupled Navier-Stokes Equations and Nolinear Fokker-Planck Equations
    • Constantin P., Seregin G.: Global Regulatity of Solutions of Coupled Navier-Stokes Equations and Nolinear Fokker-Planck Equations. Discrete Contin. Dyn. Syst. 26, 1185-1196 (2010).
    • (2010) Discrete Contin. Dyn. Syst. , vol.26 , pp. 1185-1196
    • Constantin, P.1    Seregin, G.2
  • 11
    • 33646692641 scopus 로고    scopus 로고
    • FENE dumbbell model and its several linear and nonlinear closure approximations
    • Du Q., Liu C., Yu P.: FENE dumbbell model and its several linear and nonlinear closure approximations. Multiscale Model. Simul. 4, 709-731 (2005).
    • (2005) Multiscale Model. Simul. , vol.4 , pp. 709-731
    • Du, Q.1    Liu, C.2    Yu, P.3
  • 12
    • 3242687156 scopus 로고    scopus 로고
    • Well-posedness for the dumbbell model of polymeric fluids
    • Weinan E., Li T. J., Zhang P. W.: Well-posedness for the dumbbell model of polymeric fluids. Comm. Math. Phys. 248, 409-427 (2004).
    • (2004) Comm. Math. Phys. , vol.248 , pp. 409-427
    • Weinan, E.1    Li, T.J.2    Zhang, P.W.3
  • 15
    • 4243123633 scopus 로고    scopus 로고
    • Mathematical modeling and analysis of viscoelastic fluids of the Oldroyd kind
    • Amsterdam: North-Holland
    • Fernández-Cara, E., Guillén, F., Ortega, R. R.: Mathematical modeling and analysis of viscoelastic fluids of the Oldroyd kind. Handbook of numerical analysis, Vol. 8, Amsterdam: North-Holland, 2002, pp. 543-661.
    • (2002) Handbook of numerical analysis , vol.8 , pp. 543-661
    • Fernández-Cara, E.1    Guillén, F.2    Ortega, R.R.3
  • 16
    • 0002460928 scopus 로고
    • p estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
    • p estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains. J. Funct. Anal. 102, 72-94 (1991).
    • (1991) J. Funct. Anal. , vol.102 , pp. 72-94
    • Giga, Y.1    Sohr, H.2
  • 17
    • 0000325280 scopus 로고
    • Existence results for the flow of viscoelastic fluids with a differential constitutive law
    • Guillopé C., Saut J. C.: Existence results for the flow of viscoelastic fluids with a differential constitutive law. Nonlinear Anal. 15, 849-869 (1990).
    • (1990) Nonlinear Anal. , vol.15 , pp. 849-869
    • Guillopé, C.1    Saut, J.C.2
  • 18
    • 0001415885 scopus 로고
    • Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
    • Guillopé C., Saut J. C.: Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. RAIRO Modél. Math. Anal. Numér. 24, 369-401 (1990).
    • (1990) RAIRO Modél. Math. Anal. Numér. , vol.24 , pp. 369-401
    • Guillopé, C.1    Saut, J.C.2
  • 19
    • 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.: Existence of solution for a micro-macro model of polymeric fluid: the FENE model. J. Funct. Anal. 209, 162-193 (2004).
    • (2004) J. Funct. Anal. , vol.209 , pp. 162-193
    • Jourdain, B.1    Leliévre, T.2    Le Bris, C.3
  • 20
    • 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.: Long-time asymptotics of a multiscale model for polymeric fluid flows. Arch. Ration. Mech. Anal. 181, 97-148 (2006).
    • (2006) Arch. Ration. Mech. Anal. , vol.181 , pp. 97-148
    • Jourdain, B.1    Leliévre, T.2    Le Bris, C.3    Otto, F.4
  • 22
    • 42749086143 scopus 로고    scopus 로고
    • Global solutions for incompressible viscoelastic fluids
    • Lei Z., Liu C., Zhou Y.: Global solutions for incompressible viscoelastic fluids. Arch. Rat. Mech. Anal. 188, 371-398 (2008).
    • (2008) Arch. Rat. Mech. Anal. , vol.188 , pp. 371-398
    • Lei, Z.1    Liu, C.2    Zhou, Y.3
  • 23
    • 70349766738 scopus 로고    scopus 로고
    • Remarks on the Blowup criteria for Oldroyd models
    • Lei Z., Masmoudi N., Zhou Y.: Remarks on the Blowup criteria for Oldroyd models. Jour. Diff. Eqs. 248, 328-341 (2009).
    • (2009) Jour. Diff. Eqs. , vol.248 , pp. 328-341
    • Lei, Z.1    Masmoudi, N.2    Zhou, Y.3
  • 24
    • 27844607354 scopus 로고    scopus 로고
    • On hydrodynamics of viscoelastic fluids
    • Lin F., Liu C., Zhang P.: On hydrodynamics of viscoelastic fluids. Comm. Pure Appl. Math. 58, 1437-1471 (2005).
    • (2005) Comm. Pure Appl. Math. , vol.58 , pp. 1437-1471
    • Lin, F.1    Liu, C.2    Zhang, P.3
  • 25
    • 34247498198 scopus 로고    scopus 로고
    • On a Micro-Macro Model for Polymeric Fluids near Equilibrium
    • Lin F., Liu C., Zhang P.: On a Micro-Macro Model for Polymeric Fluids near Equilibrium. Comm. Pure Appl. Math. 60, 838-866 (2007).
    • (2007) Comm. Pure Appl. Math. , vol.60 , pp. 838-866
    • Lin, F.1    Liu, C.2    Zhang, P.3
  • 26
    • 42349100405 scopus 로고    scopus 로고
    • The FENE dumbell model near equilibrium
    • Lin F., Zhang P.: The FENE dumbell model near equilibrium. Acta Math. Sin. (Engl. Ser.) 24, 529-538 (2008).
    • (2008) Acta Math. Sin. (Engl. Ser.) , vol.24 , pp. 529-538
    • Lin, F.1    Zhang, P.2
  • 27
    • 52349109615 scopus 로고    scopus 로고
    • On the initial-boundary value problem of the incompressible viscoelastic fluid system
    • Lin F., Zhang P.: On the initial-boundary value problem of the incompressible viscoelastic fluid system. Comm. Pure Appl. Math. 61, 539-558 (2008).
    • (2008) Comm. Pure Appl. Math. , vol.61 , pp. 539-558
    • Lin, F.1    Zhang, P.2
  • 28
    • 36448949849 scopus 로고    scopus 로고
    • On the global existence of smooth solution to the 2-D FENE dumbbell model
    • Lin F., Zhang P., Zhang Z.: On the global existence of smooth solution to the 2-D FENE dumbbell model. Comm. Math. Phys. 277, 531-553 (2008).
    • (2008) Comm. Math. Phys. , vol.277 , pp. 531-553
    • Lin, F.1    Zhang, P.2    Zhang, Z.3
  • 29
    • 0034381125 scopus 로고    scopus 로고
    • Global solutions for some Oldroyd models of non-Newtonian flows
    • Lions P. L., Masmoudi N.: Global solutions for some Oldroyd models of non-Newtonian flows. Chinese Ann. Math. Ser. B 21, 131-146 (2000).
    • (2000) Chinese Ann. Math. Ser. B , vol.21 , pp. 131-146
    • Lions, P.L.1    Masmoudi, N.2
  • 30
    • 34447298371 scopus 로고    scopus 로고
    • Global existence of weak solutions to some micro-macro models
    • Lions P. L., Masmoudi N.: Global existence of weak solutions to some micro-macro models. C. R. Math. Acad. Sci. Paris 345, 15-20 (2007).
    • (2007) C. R. Math. Acad. Sci. Paris , vol.345 , pp. 15-20
    • Lions, P.L.1    Masmoudi, N.2
  • 31
    • 55749083845 scopus 로고    scopus 로고
    • Well-posedness for the FENE dumbbell model of polymeric flows
    • Masmoudi N.: Well-posedness for the FENE dumbbell model of polymeric flows. Comm. Pure Appl. Math. 61, 1685-1714 (2008).
    • (2008) Comm. Pure Appl. Math. , vol.61 , pp. 1685-1714
    • Masmoudi, N.1
  • 32
    • 44649098150 scopus 로고    scopus 로고
    • Global well-posedness for 2D polymeric fluid models and growth estimate
    • Masmoudi N., Zhang P., Zhang Z.: Global well-posedness for 2D polymeric fluid models and growth estimate. Phys. D 237, 1663-1675 (2008).
    • (2008) Phys. D , vol.237 , pp. 1663-1675
    • Masmoudi, N.1    Zhang, P.2    Zhang, Z.3
  • 33
    • 0005228558 scopus 로고
    • An existence theorem for model equations resulting from kinetic theories of polymer solutions
    • Renardy M.: An existence theorem for model equations resulting from kinetic theories of polymer solutions. SIAM J. Math. Anal. 22, 313-327 (1991).
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 313-327
    • Renardy, M.1
  • 34
    • 33646894129 scopus 로고    scopus 로고
    • Local existence for the FENE-dumbbell model of polymeric fluids
    • Zhang H., Zhang P. W.: Local existence for the FENE-dumbbell model of polymeric fluids. Arch. Ration. Mech. Anal. 181, 373-400 (2006).
    • (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.