期刊文献+

The FENE Dumbbell Model near Equilibrium

The FENE Dumbbell Model near Equilibrium
原文传递
导出
摘要 We study the global existence of smooth solutions near the equilibrium to a coupled microscopic-macroscopic FENE dumbbell model which arises from the kinetic theory of diluted solutions of polymeric liquids with noninteracting polymer chains. We study the global existence of smooth solutions near the equilibrium to a coupled microscopic-macroscopic FENE dumbbell model which arises from the kinetic theory of diluted solutions of polymeric liquids with noninteracting polymer chains.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第4期529-538,共10页 数学学报(英文版)
基金 NSF Grant DMS-0201443 NSF of China under Grants 10525101 and 10421101 973 Project the Innovation Grant from Chinese Academy of Sciences
关键词 FENE dumbbell model polymeric liquids Navier-Stokes equations Fokker-Planck equations FENE dumbbell model, polymeric liquids, Navier-Stokes equations, Fokker-Planck equations
  • 相关文献

参考文献14

  • 1Bird, R. B., Curtis, C. F., Armstrong, R. C., Hassager, O.: Dynamics of Polymeric Liquids, Volume 2: Kinetic Theory, Weiley Interscience, New York, 1987
  • 2Doi, M., Edwards, S. F.: The Theory of Polymer Dynamics, Oxford Science Publication, 1986
  • 3Jourdain, B., Lelievre, 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)
  • 4Weinan, E, Li, T. J., Zhang, P. W.: Well-posedness for the dumbbell model of polymeric fluids. Comm. Math. Phys.. 248(2), 409-427 (2004)
  • 5Zhang, H., Zhang, P. W.: Local existence for the FENF-dumbbell model of polymeric fluids, Arch. Ration. Mech. Anal., 181, 373400 (2006)
  • 6Renardy, M.: An existence theorem for model equations resulting from kinetic theories of polymer solutions, SIAM J. Math. Anal., 22, 313-327 (1991)
  • 7Constantin, 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)
  • 8Barrett, J. W., Schwab, C., Suli, E.: Existence of global weak solutions for some polymeric flow models. Math. Models Methods Appl. Sci., 15, 939-983 (2005)
  • 9Lin, F., Liu, C., Zhang, P.: On a Micro-Macro model for polymeric fluids near equilibrium. Comm. Pure Appl. Math., 60, 838-866 (2007)
  • 10Lin, F., Liu, C., Zhang, P.: On hydrodynamics of viscoelastic fluids. Comm. Pure Appl. Math., 58, 1437-1471 (2005)

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部