期刊文献+

不可压完全Ericksen-Leslie系统的局部适定性

Local well-posed problem of incompressible complete Ericksen-Leslie system
下载PDF
导出
摘要 考察描述向列型液晶的完全Ericksen-Leslie系统的适定性,利用Tychonoff不动点定理给出了初值在一定正则条件下的不可压液晶方程组局部强解的存在性和唯一性。 The well-posed probem of the full Ericksen-Leslie system for nematic liquid crystal is analyzed, and the existence and uniqueness of the local strong solutions to the incompressible liquid crystal equations is obtained by using fixed point theorem when the initial values fit the regular conditions.
作者 朱晓霞
出处 《河北科技大学学报》 CAS 2012年第4期296-299,共4页 Journal of Hebei University of Science and Technology
基金 国家科技支撑计划资助项目(2012BAH20B03)
关键词 液晶 Tychonoff不动点定理 不可压 局部强解 存在性和唯一性 liquid crystal Tychonoffs fixed point theorem incompressible local strong solution existence and uniqueness
  • 相关文献

参考文献8

  • 1de GENNES R G. The Physics of Liquid Crystals[M]. New York:Oxford University Press, 1974.
  • 2ERICKSEN J. Conservation laws for liquid crystals[J]. Trans Soe Rhed, 1961(5) :22-34.
  • 3SUN H, LIU C. On energetic variational approaches in modeling the nematic liquid crystal flows[J]. Discrete and Continuous Dynamical System, 2009,23 : 455-475.
  • 4LIN F H, LIU C. Nonparabolic dissipative systems modeling the flow of liquid crystals[J].Comm Pure Appl Math, 1995,33.. 501-537.
  • 5SIMADE C, SOHR H. A New Approach to the Helmholtz Decomposition and the Neumann problem in Lq spaces for bounded and exteri- or domains[A]. Mathematical Problems Relating to the Navier-Stokes Equation[C]. IS. 1. ]: World Sei, 1992. 379-406.
  • 6COUTAND D, SHKOLLER S. Well-posedness of the full Ericksen-Leslie model of nematic liquid crystals[J]. Comptes Rendus de IAcade- mie des Science Series I-Mathematics, 2001,333:919-924.
  • 7TEMAM R. Infinite-dimensional Dynamical System in Mechanics and Physics[M]. Berlin:Springer-Verlag,1988.
  • 8DEIMLING K. Nonlinear Functional Analysis[M]. Berlin: Springer-Verlag Press,1985.

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