| REMARK ON UNIQUE CONTINUATION OF SOLUTIONS TO THE STOKES AND THE NAVIER-STOKES EQUATIONS |
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| 作者姓名： | Jin Kim Tu 常谦顺 |
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| 作者单位： | [1]Institute of Mathematics, Academy of Sciences of DPR of Korea, Pyonyang, DPR of Korea [2]Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
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| 摘 要： | 1IntroductionUnique continuation of solutions to the linear partial di?erential equations with analyticcoe?cients is well known.There are more general results in elliptic,parabolic and hyperbolicequations(cf.8-10,12-13]and references therein).The continu…
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| 关 键 词： | Navier-Stokes方程 微分方程 唯一性 弱解 |
| 收稿时间： | 2002-11-19 |
| 修稿时间： | 2003-08-20 |
REMARK ON UNIQUE CONTINUATION OF SOLUTIONS TO THE STOKES AND THE NAVIER-STOKES EQUATIONS |
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| Jin Kim Tu,Chang Qianshun.REMARK ON UNIQUE CONTINUATION OF SOLUTIONS TO THE STOKES AND THE NAVIER-STOKES EQUATIONS[J].Acta Mathematica Scientia,2005,25(4):594-598. |
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| Authors: | Jin Kim Tu Chang Qianshun |
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| Institution: | 1. Department of Light Industry Machinery Engineering, Pyongyang University of Mechanical Engineering, Pyongyang 999093, Democratic People’s Republic of Korea;2. Department of Engineering Machine, Pyongyang University of Mechanical Engineering, Pyongyang 999093, Democratic People’s Republic of Korea;3. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, PR China;1. Department of Applied Chemistry Engineering, Hamhung University of Chemical Industry, Hamhung, Democratic People''s Republic of Korea;2. Department of Chemistry, University of Science, Pyongyang, Democratic People''s Republic of Korea;1. School of Materials Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China;2. Department of Energy Science, Kim IL Sung University, Pyongyang, Democratic People''s Republic of Korea;3. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, 150001, China;1. Department of Paleontology, Faculty of Geology, Kim Il Sung University, Pyongyang, Democratic People''s Republic of Korea;2. Institute of Zoology, State Academy of Science (SAOS), Pyongyang, Democratic People''s Republic of Korea |
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| Abstract: | New simple proofs of unique continuation of solutions for the Stokes equation and Navier-Stokes equations is presented under weaker conditions. |
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| Keywords: | Stokes equation Navier-Stokes equation |
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