Global existence of weak solution for the 2-D Ericksen–Leslie system
暂无分享,去创建一个
[1] J. Ericksen. Conservation Laws for Liquid Crystals , 1961 .
[2] Changyou Wang,et al. Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data , 2010, 1001.2296.
[3] Michael Struwe,et al. The existence of surfaces of constant mean curvature with free boundaries , 1988 .
[4] Z. Xin,et al. Blow-up criteria of strong solutions to the Ericksen-Leslie system in $\Bbb R^3$ , 2013, 1303.4488.
[5] J. Ericksen. Liquid crystals with variable degree of orientation , 1991 .
[6] F. Lin,et al. Nonparabolic dissipative systems modeling the flow of liquid crystals , 1995 .
[7] Z. Xin,et al. Global existence of solutions of the Liquid Crystal flow for the Oseen-Frank model , 2010, 1010.4083.
[8] Zhifei Zhang,et al. Global regularity and uniqueness of weak solution for the 2-D liquid crystal flows , 2012 .
[9] Min-Chun Hong. Global existence of solutions of the simplified Ericksen–Leslie system in dimension two , 2011 .
[10] F. M. Leslie. Some constitutive equations for liquid crystals , 1968 .
[11] V. Arnold,et al. Ordinary Differential Equations , 1973 .
[12] R. Danchin,et al. Fourier Analysis and Nonlinear Partial Differential Equations , 2011 .
[13] Wei Wang,et al. Well-Posedness of the Ericksen–Leslie System , 2012, 1208.6107.
[14] Changyou Wang,et al. Blow up Criterion for Nematic Liquid Crystal Flows , 2011, 1104.5683.
[15] Karen Uhlenbeck,et al. Regularity of minimizing harmonic maps into the sphere , 1984 .
[16] Tosio Kato,et al. Remarks on the breakdown of smooth solutions for the 3-D Euler equations , 1984 .
[17] Chun Liu,et al. Existence of Solutions for the Ericksen-Leslie System , 2000 .
[18] M. Giaquinta. Cartesian currents in the calculus of variations , 1983 .
[19] Fanghua Lin,et al. Partial regularity of the dynamic system modeling the flow of liquid crystals , 1995 .
[20] Fanghua Lin,et al. Liquid Crystal Flows in Two Dimensions , 2010 .
[21] F. Lin,et al. On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals , 2010 .
[22] David Kinderlehrer,et al. Existence and partial regularity of static liquid crystal configurations , 1986 .
[23] Michael Struwe,et al. On the evolution of harmonic mappings of Riemannian surfaces , 1985 .
[24] Zhouping Xin,et al. Global existence of solutions of the liquid crystal flow for the Oseen–Frank model in R2 , 2012 .
[25] Xiang Xu,et al. On the General Ericksen–Leslie System: Parodi’s Relation, Well-Posedness and Stability , 2011, 1105.2180.