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准晶弹性理论边值问题的可解性

郭丽辉 范天佑

郭丽辉, 范天佑. 准晶弹性理论边值问题的可解性[J]. 应用数学和力学, 2007, 28(8): 949-957.
引用本文: 郭丽辉, 范天佑. 准晶弹性理论边值问题的可解性[J]. 应用数学和力学, 2007, 28(8): 949-957.
GUO Li-hui, FAN Tian-you. Solvability on Boundary-Value Problems of Elasyicity of Three-Dimensional Quasicrystals[J]. Applied Mathematics and Mechanics, 2007, 28(8): 949-957.
Citation: GUO Li-hui, FAN Tian-you. Solvability on Boundary-Value Problems of Elasyicity of Three-Dimensional Quasicrystals[J]. Applied Mathematics and Mechanics, 2007, 28(8): 949-957.

准晶弹性理论边值问题的可解性

基金项目: 国家自然科学基金资助项目(1037201610672022)
详细信息
    作者简介:

    郭丽辉(1970- ),女,辽宁瓦房店人,副教授,硕士.现在通讯址:中国人民公安大学理科部,北京100084(E-mail:guolihui@cppsu.edu.cn);范天佑,教授(联系人.E-mail:tyfan2006@yahoo.com.cn).

  • 中图分类号: O346;O175.4

Solvability on Boundary-Value Problems of Elasyicity of Three-Dimensional Quasicrystals

  • 摘要: 通过给出准晶弹性偏微分方程组边值问题的矩阵表示去定义弱解,利用Korn不等式和函数空间理论证明了这种弱解的存在性与唯一性,从而把经典弹性理论边值问题解的存在性定理推广到准晶弹性理论上,这种理论为发展极其复杂与困难的准晶弹性的偏微分方程的边值问题的数值解提供了一个基础.
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出版历程
  • 收稿日期:  2006-03-09
  • 修回日期:  2007-06-10
  • 刊出日期:  2007-08-15

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