Local Existence of Smooth Solutions to the FENE Dumbbell Model
Local Existence of Smooth Solutions to the FENE Dumbbell Model
摘要
The author proves the local existence of smooth solutions to the finite extensible nonlinear elasticity (FENE) dumbbell model of polymeric flows in some weighted spaces if the non-dimensional parameter b > 2.
参考文献33
-
1Arnold, A., Carrillo, J. A. and Manzini, C., Refined long-time asymptotics for some polymeric fluid flow models, Coramun. Math. Sci., 8(3), 2010, 763-782.
-
2Barrett, J. W., Schwab, C. and Sfili, E., Existence of global weak solutions for some polymeric flow models, Math. Models Methods Appl. Sci., 15(6), 2005, 939-983.
-
3Barrett, J. W. and Siili, E., Existence of global weak solutions to kinetic models of dilute polymers, Multiscale Model Simul., 6, 2007, 506- 546.
-
4Barrett, J. W. and Siili, E., Existence of global weak solutions to dumbbell models for dilute polymers with microscopic cut-offl Math. Models Methods Appl. Sci., 18, 2008: 935-971.
-
5Barrett, J. W. and Sfili, E., Existence of equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers, Math. Models Methods Appl. Sci., 21(6), 2011, 1211- 1289.
-
6Bird, R. B., Curtiss, C., Armstrong, R. C., et al., Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory, Wiley Interseienee, New York, 1987.
-
7Constantin, P. and Foias, C., Navier-Stokes Equations, The University of Chicago Press, Chicago, 1988.
-
8Doi, M. and Edwards, S. F., The Theory of Polymer Dynamics, Oxford University Press, Oxford, 1986.
-
9E, W. N., Li, T. J. and Zhang, P. W., Well-posedness for the dumbbell model of polymeric fluids, Comm. Math. Phys., 248(2), 2004, 409 -427.
-
10Friendman, A., Partial Differential Equation, Holt, Rinehart and Winston, New York, 1969.
-
1Fang Hua LIN,Ping ZHANG.The FENE Dumbbell Model near Equilibrium[J].Acta Mathematica Sinica,English Series,2008,24(4):529-538.
-
2孙乾,上官丹骅,包景东.A dumbbell model with five parameters describing nuclear fusion or fission[J].Chinese Physics C,2013,37(1):44-50.
-
3方文啸,何振辉,徐雪青,沈辉.Aligned Structures of Fe304 Nanoparticles in a Curable Polymer Carrier Induced by a Magnetic Field[J].Chinese Physics Letters,2005,22(9):2386-2389. 被引量:2
-
4汪兴梅,陈红,陈德凤.两类哑铃式分子模型的动力学分析与比较[J].青岛大学学报(自然科学版),2010,23(1):36-40.
-
5张小华,欧阳洁,孔倩.聚合物流动的多尺度模拟[J].化工学报,2007,58(8):1897-1904. 被引量:7
-
6孙乾,上官丹骅,包景东.五参数哑铃模型中核熔合反应的新奇不稳定度[J].原子核物理评论,2014,31(1):1-7.
-
7Zhang Wensheng The University of Georgia, GA 30605.一个分布式软件结构的实现[J].辽宁大学学报(自然科学版),1998,25(2):176-182.
-
8Yongcai GENG,Yachun LI.Local Smooth Solutions to the 3-Dimensional Isentropic Relativistic Euler equations[J].Chinese Annals of Mathematics,Series B,2014,35(2):301-318. 被引量:2
-
9李盛瑜,李霄民.关于无爪图中哈密尔顿圈的一个注记(英文)[J].西南大学学报(自然科学版),2011,33(2):110-112.
-
10张僡凤,欧阳洁,代向艳.耦合有限体积法的Brown构型场并行算法[J].计算物理,2012,29(1):17-24. 被引量:3