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一类时滞非牛顿流方程组在二维无界区域上的整体适定性与拉回吸引子

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一类时滞非牛顿流方程组在二维无界区域上的整体适定性与拉回吸引子 赵才地1, 阳玲1, 刘国威2, 许正雄31. 温州大学数学与信息科学学院, 温州 325035;
2. 上海交通大学理学院, 上海 200240;
3. 台湾中央大学数学系, 台湾 32001 Global Well-posedness and Pullback Attractor a Delayed Non-Newtonian Fluid on Two-dimensional Unbounded Domains ZHAO Caidi1, YANG Ling1, LIU Guowei2, HSU Cheng Hsiung31. College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China;
2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China;
3. Department of Mathematics, National Central University, Chung-Li, Taiwan 32001, China
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摘要本文研究二维无界条形区域上一类具时滞外力项的非自治非牛顿流体力学方程组. 作者先证明该流体方程组的整体适定性,然后证明解算子生成的过程拉回吸引子的存在性.
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收稿日期: 2015-12-06
PACS:O357.1
O175.24
基金资助:国家自然科学基金(11271290),浙江省自然科学基金(LY17A010011)以及温州大学研究生创新基金(3162016023)资助项目. 通讯作者.}
引用本文:
赵才地, 阳玲, 刘国威, 许正雄. 一类时滞非牛顿流方程组在二维无界区域上的整体适定性与拉回吸引子[J]. 应用数学学报, 2017, 40(2): 287-311. ZHAO Caidi, YANG Ling, LIU Guowei, HSU Cheng Hsiung. Global Well-posedness and Pullback Attractor a Delayed Non-Newtonian Fluid on Two-dimensional Unbounded Domains. Acta Mathematicae Applicatae Sinica, 2017, 40(2): 287-311.
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http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2017/V40/I2/287


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