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初值间断的可压缩Navier-Stokes方程弱解的存在性

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初值间断的可压缩Navier-Stokes方程弱解的存在性 王军礼1, 龚六堂2, 连汝续31. 首都师范大学数学科学学院, 北京 100048;
2. 北京大学光华管理学院, 北京 100871;
3. 华北水利水电大学数学与信息科学学院, 郑州 200241 Existence of Weak Solution to Compressible Navier-Stokes Equation with Discontinuous Initial Data WANG Junli1, GONG Liutang2, LIAN Ruxu31. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
2. Guanghua School of Management, Peking University, Beijing 100871, China;
3. College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
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摘要本文研究了粘性系数依赖密度的一维可压缩Navier-Stokes方程的初值间断问题.当初始密度间断任意大时,证明了一维可压缩Navier-Stokes方程固定边界问题整体弱解的存在唯一性,分段正则性,并给出了弱解的大时间行为等.
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收稿日期: 2014-12-03
PACS:O175.2
基金资助:国家自然科学基金(11101145,11301431)资助项目.
引用本文:
王军礼, 龚六堂, 连汝续. 初值间断的可压缩Navier-Stokes方程弱解的存在性[J]. 应用数学学报, 2017, 40(1): 121-135. WANG Junli, GONG Liutang, LIAN Ruxu. Existence of Weak Solution to Compressible Navier-Stokes Equation with Discontinuous Initial Data. Acta Mathematicae Applicatae Sinica, 2017, 40(1): 121-135.
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http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2017/V40/I1/121


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