메뉴 건너뛰기




Volumn 181, Issue 1, 2006, Pages 97-148

Long-time asymptotic s of a multiscale model for polymeric fluid flows

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33646682174     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-005-0411-4     Document Type: Article
Times cited : (85)

References (33)
  • 2
    • 0002042431 scopus 로고    scopus 로고
    • On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
    • ARNOLD, A., MARKOWICH, P., TOSCANI, G., UNTERREITER, A.: On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Comm. Partial Differential Equations 26, 43-100 (2001)
    • (2001) Comm. Partial Differential Equations , vol.26 , pp. 43-100
    • Arnold, A.1    Markowich, P.2    Toscani, G.3    Unterreiter, A.4
  • 3
    • 0346777245 scopus 로고    scopus 로고
    • Entropy decay of discretized Fokker-Planck equations I: Temporal semidiscretization
    • ARNOLD, A., UNTERREITER, A.: Entropy decay of discretized Fokker-Planck equations I: Temporal semidiscretization. Comput. Math. Appl. 46, 1683-1690 (2003)
    • (2003) Comput. Math. Appl. , vol.46 , pp. 1683-1690
    • Arnold, A.1    Unterreiter, A.2
  • 4
    • 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
  • 9
    • 0036588839 scopus 로고    scopus 로고
    • Viscoelastic fluid models derived from kinetic equations for polymers
    • DEGOND, P., LEMOU, M., PICASSO, M.: Viscoelastic fluid models derived from kinetic equations for polymers. SIAM J. Appl. Math. 62, 1501-1519 (2002)
    • (2002) SIAM J. Appl. Math. , vol.62 , pp. 1501-1519
    • Degond, P.1    Lemou, M.2    Picasso, M.3
  • 10
    • 0035526707 scopus 로고    scopus 로고
    • On the trend to global equilibrium in spatially inhotnogeneous entropy-dissipating systems: The linear Fokker-Planck equation
    • DESVILLETTES, L., VILLANI, C.: On the trend to global equilibrium in spatially inhotnogeneous entropy-dissipating systems: the linear Fokker-Planck equation. Comm. Pure Appl. Math. 54, 1-42 (2001)
    • (2001) Comm. Pure Appl. Math. , vol.54 , pp. 1-42
    • Desvillettes, L.1    Villani, C.2
  • 11
    • 0004074550 scopus 로고
    • International Series of Monographs on Physics. Oxford University Press, Oxford
    • DOI, M., EDWARDS, S.F.: The Theory of Polymer Dynamics. International Series of Monographs on Physics. Oxford University Press, Oxford, 1988
    • (1988) The Theory of Polymer Dynamics
    • Doi, M.1    Edwards, S.F.2
  • 12
    • 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
  • 13
    • 3242687156 scopus 로고    scopus 로고
    • Well-posedness for the dumbbell model of polymeric fluids
    • E, W., 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
    • W., E.1    Li, T.J.2    Zhang, P.W.3
  • 14
    • 13844271552 scopus 로고    scopus 로고
    • A survey of entropy methods for partial differential equations
    • EVANS, L. C.: A survey of entropy methods for partial differential equations. Bull. Amer. Math. Soc. 41, 409-438 (2004)
    • (2004) Bull. Amer. Math. Soc. , vol.41 , pp. 409-438
    • Evans, L.C.1
  • 16
    • 7744234690 scopus 로고    scopus 로고
    • On a variance reduction technique for micro-macro simulations of polymeric fluids
    • JOURDAIN, B., LE BRIS, C., LELIÈVRE, T.: On a variance reduction technique for micro-macro simulations of polymeric fluids. J. Non-Newtonian Fluid Mech. 122, 91-106 (2004)
    • (2004) J. Non-Newtonian Fluid Mech. , vol.122 , pp. 91-106
    • Jourdain, B.1    Le Bris, C.2    Lelièvre, T.3
  • 17
    • 33646678137 scopus 로고    scopus 로고
    • An elementary argument regarding the longtime behaviour of the solution to a stochastic differential equation
    • JOURDAIN, B., LE BRIS, C., LELIÈVRE, T.: An elementary argument regarding the longtime behaviour of the solution to a stochastic differential equation. An. Univ. Craiova Ser. Math. Compul. Sci. 32, 39-47 (2005)
    • (2005) An. Univ. Craiova Ser. Math. Compul. Sci. , vol.32 , pp. 39-47
    • Jourdain, B.1    Le Bris, C.2    Lelièvre, T.3
  • 18
    • 0346429825 scopus 로고    scopus 로고
    • Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids
    • Davies, I.M., Jacob, N., Truman, A., Hassan, O., Morgan, K., Weatherill, N.P. (eds.), World Scientific
    • JOURDAIN, B., LELIÈVRE, T.: Mathematical analysis of a stochastic differential equation arising in the micro-macro modelling of polymeric fluids. Probabilistic Methods in Fluids Proceedings of the Swansea 2002 Workshop. Davies, I.M., Jacob, N., Truman, A., Hassan, O., Morgan, K., Weatherill, N.P. (eds.), World Scientific, 2003, pp. 205-223
    • (2003) Probabilistic Methods in Fluids Proceedings of the Swansea 2002 Workshop , pp. 205-223
    • Jourdain, B.1    Lelièvre, T.2
  • 19
    • 0036710134 scopus 로고    scopus 로고
    • Numerical analysis of micro-macro simulations of polymeric fluid flows: A simple case
    • JOURDAIN, B., LELIÈVRE, T., LE BRIS, C.: Numerical analysis of micro-macro simulations of polymeric fluid flows: a simple case. Math. Models Methods in Appl. Sci. 12, 1205-1243 (2002)
    • (2002) Math. Models Methods in Appl. Sci. , vol.12 , pp. 1205-1243
    • Jourdain, B.1    Lelièvre, T.2    Le Bris, C.3
  • 20
    • 12144286593 scopus 로고    scopus 로고
    • Existence of solution for a micro-macro model of polymeric fluid: The FENE model
    • JOURDAIN, B., LELIÈVRE, 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    Lelièvre, T.2    Le Bris, C.3
  • 21
  • 23
    • 11844283929 scopus 로고    scopus 로고
    • The structure of equilibrium solutions of one dimensional Doi equation
    • LUO, C., ZHANG, H., ZHANG, P.W.: The structure of equilibrium solutions of one dimensional Doi equation. Nonlinearity 18, 379-389 (2005)
    • (2005) Nonlinearity , vol.18 , pp. 379-389
    • Luo, C.1    Zhang, H.2    Zhang, P.W.3
  • 24
    • 0038243436 scopus 로고    scopus 로고
    • On the trend to equilibrium for the Fokker-Planck equation: An interplay between physics and functional analysis
    • MARKOWICH, P.A., VILLANI, C.: On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis. Mat. Contemp. 19, 1-29 (2000)
    • (2000) Mat. Contemp. , vol.19 , pp. 1-29
    • Markowich, P.A.1    Villani, C.2
  • 25
    • 0036789329 scopus 로고    scopus 로고
    • Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise
    • MATTINGLY, J.C., STUART, A.M., HIGHAM, D.J.: Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise. Stochastic Process. Appl. 101, 185-232 (2002)
    • (2002) Stochastic Process. Appl. , vol.101 , pp. 185-232
    • Mattingly, J.C.1    Stuart, A.M.2    Higham, D.J.3
  • 26
    • 33646690681 scopus 로고    scopus 로고
    • Ergodicity for the stochastic complex Ginzburg-Landau equations
    • in press
    • ODASSO, C.: Ergodicity for the stochastic complex Ginzburg-Landau equations. Ann. IH Poincaré-PR, in press
    • Ann. IH Poincaré-PR
    • Odasso, C.1
  • 29
    • 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
  • 30
    • 0012699568 scopus 로고
    • On nonnegative solutions of the equation AD + DA′ = -C
    • SNYDERS, J., ZAKAI, M.: On nonnegative solutions of the equation AD + DA′ = -C. SIAM J. Appl. Math. 18, 704-714 (1970)
    • (1970) SIAM J. Appl. Math. , vol.18 , pp. 704-714
    • Snyders, J.1    Zakai, M.2
  • 33
    • 33646894129 scopus 로고    scopus 로고
    • Local existence for the FENE-dumbbell model of polymeric fluids
    • In press
    • ZHANG, H., ZHANG, P.W.: Local existence for the FENE-dumbbell model of polymeric fluids. Arch. Ration. Mech. Anal. In press
    • Arch. Ration. Mech. Anal.
    • Zhang, H.1    Zhang, P.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.