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带有真空的可压缩向列型液晶系统整体弱解的唯一性

The Uniqueness of Global Weak Solutions for Compressible Nematic Liquid Crystals with Vacuum
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摘要 在初始真空连续连接条件下,讨论了一维可压缩向列型液晶流体的自由边界问题,利用Young不等式、Gronwall不等式及嵌入定理等得到了弱解的估计,从而获得解的唯一性结果. This paper considers the free boundary problem for the compressible hydrodynamic flow of nematic liquid crystals with vacuum in one dimension which connects continuously to vacuum.Methods are to use the Young inequality,Gronwall inequality and embedding theorem.Results are to get some complex estimation.Conclusion is to obtain the result of the uniqueness through the methods and the results.
作者 孔春香 KONG Chun-xiang(College of Mathematics and Computer Science,Yan′an University,Yan′an 716000,China)
机构地区 延安大学数学与计算机科学学院
出处 《云南师范大学学报（自然科学版）》 2019年第1期25-28,共4页 Journal of Yunnan Normal University:Natural Sciences Edition
基金 陕西省教育厅专项研究计划资助项目(17JK0861) 延安大学校级科研计划资助项目(YDQ2016-22)
关键词 向列型液晶流体 自由边界 整体弱解 唯一性 Nematic liquid crystals Free boundary problem Weak solutions Uniquness
分类号 O175.26 [理学—基础数学]
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云南师范大学学报（自然科学版）
2019年 第1期

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