| EXISTENCE AND UNIQUENESS OF STRONG PERIODIC SOLUTION OF THE EVOLUTION SYSTEM DESCRIBING GEOPHYSICAL FLOW—PART I： IN BOUNDED DOMAINS |
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| 作者姓名： | ZHAO Chunshan LI Kaitai |
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| 作者单位： | ZHAO CHUNSHAN，LI KAITAI School of Science，Xi'an Jiaotong University，Xi'an 710049，China. |
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| 基金项目： | the Special Funds for Major State Basic Research Projects of China(No.G1999032801) and the National Natural Science Foundation |
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| 摘 要： | 61. IntroductionDiscovered by R. HideI3], the following evolution system has been used to describe thegeophysical flow:where u = u(xl,',XN,t) = (ul,',UN) and B = B(xl,',XN,t) = (BI,',BN) arethe velocity vectors Of Eulerian flow and magnetic fields respectively. p(x, t) and q(x, t) arepressures. j(x, t) and g(x,t) are volUme forces. p and u are the constants of density andviscosity of the flow respeCtively, p is the constant of magnetic permeability and A = f withelectrical resis…
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| 关 键 词： | 存在性 唯一性 强周期解 有界域 发展系统 |
| 收稿时间： | 1999/6/17 0:00:00 |
| 修稿时间： | 2000/5/11 0:00:00 |
EXISTENCE AND UNIQUENESS OF STRONG PERIODIC SOLUTION OF THE EVOLUTION SYSTEM DESCRIBING GEOPHYSICAL FLOW|PART I: IN BOUNDED DOMAINS |
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| ZHAO Chunshan,LI Kaitai.EXISTENCE AND UNIQUENESS OF STRONG PERIODIC SOLUTION OF THE EVOLUTION SYSTEM DESCRIBING GEOPHYSICAL FLOW|PART I: IN BOUNDED DOMAINS[J].Chinese Annals of Mathematics,Series B,2001,22(3):385-396. |
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| Authors: | ZHAO Chunshan and LI Kaitai |
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| Abstract: | The existence and uniqueness of a strong periodic solution of the evolution system describing geophysical flow in bounded domains of RN (N = 3, 4) are proven if external forces are periodic in time and sufficiently small. |
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| Keywords: | Existence and uniqueness Periodic solution Evolution system Geophysical flow |
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