三维可压缩磁流体动力学方程组经典解的代数衰减率.pdf

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摘要···················································································I

Abstract·················································································III

1引言·······················································································1

1.1研究背景和意义·····························································1

1.2国内外研究现状·····························································3

1.3主要内容和主要结果······················································7

2预备知识················································································11

2.1符号约定·······································································11

2.2一些常用不等式·····························································12

3磁流体方程解的整体存在性····················································15

3.1局部能量估计································································15

3.2存在性证明····································································19

4线性化方程组的衰减······························································21

4.1谱分析···········································································21

4.2线性方程组的解在L2范数下的衰减估计························25

5非线性方程组的衰减估计·······················································31

5.1(⇢,m,B)T的衰减·····················································32

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5.2r(⇢,m,B)T的衰减··················································35

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5.3最优衰减估计的证明······

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