Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (4): 570-576.
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HUANG Fei-Min, WANG Zhen
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国家自然科学基金资助项目
Abstract:
该文研究等温气流整体解的存在性．我们用补偿列紧理论证明了逼近解的强收敛性．我们不仅对弱熵，而且对强熵也建立了交换关系式．在证明中我们不需要强熵的Ｈ－１紧性．
Key words: 等温气流, 熵, 补偿列紧, 解析延拓
CLC Number:
HUANG Fei-Min, WANG Zhen. Convergence of Approximation Solutions for Isothermal Flow[J].Acta mathematica scientia,Series A, 2001, 21(4): 570-576.
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１ ＣｈｅｎＧ Ｑ．Ｔｈｅｔｈｅｏｒｙｏｆｃｏｍｐｅｎｓａｔｅｄｃｏｍｐａｃｔｎｅｓｓａｎｄｔｈｅｓｙｓｔｅｍｏｆｉｓｅｎｔｒｏｐｉｃｇａｓｄｙｎａｍｉｃｓ．ＰｒｅｐｒｉｎｔＭＣＳＰ１５４ ０５９０，ＵｎｉｖｅｒｓｉｔｙｏｆＣｈｉｃａｇｏ，１９９０ ２ ＣｈｅｎＧ Ｑ．Ｒｅｍａｒｋｓｏｎｄｉｐｅｎａ＇ｓｐａｐｅｒｃｏｎｖｅｒｇｅｎｃｅｏｆｔｈｅｖｉｓｃｏｓｉｔｙｍｅｔｈｏｄｆｏｒｉｓｅｎｔｒｏｐｉｃｇａｓｄｙｎａｍｉｓ．ＰｒｏｃＡＭ Ｍａｔｈ Ｓｏｃ，１９９７，１２５（１０）：２９８１－２９８６ ３ ＣｈｅｎＧ Ｑ，ＬｅＦｌｏｃｈＰ．Ｃｏｍｐｒｅｓｓｉｂｌｅｅｕｌｅｒｅｑｕａｔｉｏｎｓｗｉｔｈｇｅｎｅｒａｌｐｒｅｓｓｕｒｅｌａｗ．ＡｒｃｈＲａｔｉｏｎａｌＭｅｃｈ Ａｎａｌ，２０００， １５３：２２１－２５９ ４ ＣｈｕｅｈＫ Ｎ，ＣｏｎｌｅｙＣＣ，ＳｍｏｌｌｅｒＪ．Ｐｏｓｉｔｉｖｅｌｙｉｎｖａｒｉａｎｔｒｅｇｉｏｎｓｆｏｒｓｙｓｔｅｍｓｏｆｎｏｎｌｉｎｅａｒｄｉｆｆｕｓｉｏｎｅｑｕａｔｉｏｎｓ．ＩｎｄＵｎｉｖ Ｍａｔｈ，１９７７，２６：３７２－４１１ ５ ＤｉｎｇＸ Ｑ，ＣｈｅｎＧ Ｑ，ＬｕｏＰＺ．Ｃｏｎｖｅｒｇｅｎｃｅｏｆｔｈｅｌａｘｆｒｉｅｄｒｉｃｈｓｓｃｈｅｍｅｆｏｒｉｓｅｎｔｒｏｐｉｃｇａｓｄｙｎａｍｉｃｓ（Ⅰ），（Ⅱ）． ＡｃｔａＭａｔｈＳｃｉ，１９８５，５：４８３－５００，５０１－５４０（ｉｎＣｈｉｎｅｓｅ） ６ ＤｉｎｇＸＱ，ＣｈｅｎＧＱ，ＬｕｏＰＺ．Ｃｏｎｖｅｒｇｅｎｃｅｏｆｔｈｅｆｒａｃｔｉｏｎａｌｓｔｅｐｌａｘｆｒｉｅｄｒｉｃｈｓｓｃｈｅｍｅａｎｄｇｏｄｕｎｏｖｓｃｈｅｍｅｆｏｒｉｓｅｎ ｔｒｏｐｉｃｇａｓｄｙｎａｍｉｃｓ．Ｃｏｍｍ ＭａｔｈＰｈｙｓ，１９８９，１２１：６３－８４ ７ ＤｉｐｅｒｎａＲ．Ｃｏｎｖｅｒｇｅｎｃｅｏｆａｐｐｒｏｘｉｍａｔｅｓｏｌｕｔｉｏｎｓｔｏｃｏｎｓｅｒｖａｔｉｏｎｌａｗｓ．ＡｒｃｈＲａｔＭｅｃｈＡｎａｌ，１９８３，８２（１）：２７－７０ ８ ＤｉｐｅｒｎａＲ．Ｃｏｎｖｅｒｇｅｎｃｅｏｆｖｉｓｃｏｓｉｔｙｍｅｔｈｏｄｆｏｒｉｓｅｎｔｒｏｐｉｃｇａｓｄｙｎａｍｉｃｓ．Ｃｏｍｍ ＭａｔｈＰｈｙｓ，１９８３，９１：１－３０ ９ ＧｌｉｍｍＪ．Ｓｏｌｕｔｉｏｎｓｉｎｔｈｅｌａｒｇｅｆｏｒｎｏｎｌｉｎｅａｒｈｙｐｅｒｂｏｌｉｃｓｙｓｔｅｍｓｏｆｅｑｕａｔｉｏｎｓ．ＣｏｍｍｕｎＰｕｒｅＡｐｐｌＭａｔｈ，１９６５，１８： ６９７－７１５ １０ ＨｕａｎｇＦ Ｍ，ＷａｎｇＺ．Ｃｏｎｖｅｒｇｅｎｃｅｏｆｖｉｓｃｏｓｉｔｙｓｏｌｕｔｉｏｎｓｆｏｒｉｓｏｔｈｅｒｍａｌｇａｓｄｙｎａｍｉｃｓ，Ｐｒｅｐｒｉｎｔ １１ ＬａｘＰＤ．Ｓｈｏｃｋｗａｖｅｓａｎｄｅｎｔｒｏｐｙ．Ｉｎ：ＺａｒａｎｔｏｎｅｌｌｏＥ Ａｅｄ．Ｃｏｎｔｒｉｂｕｔｉｏｎｓｔｏｎｏｎｌｉｎｅａｒｆｕｎｃｉｔｏｎａｌａｎａｌｙｓｉｓ．Ｎｅｗ Ｙｏｒｋ：ＡｃａｄｅｍｉｃＰｒｅｓｓ，１９７１．６０６－６４４ １２ ＬｉｏｎｓＰＬ，ＰｅｒｔｈａｍｅＢ，ＴａｄｍｏｒＥ．Ｋｉｎｅｔｉｃｆｏｒｍｕｌａｔｉｏｎｏｆｔｈｅｉｓｅｎｔｒｏｐｉｃｇａｓｄｙｎａｍｉｃｓａｎｄ狆ｓｙｓｔｅｍｓ．Ｃｏｍｍ Ｍａｔｈ Ｐｈｙｓ，１９９４，１６３：１６９－１７２ １３ ＬｉｏｎｓＰＬ，ＰｅｒｔｈａｍｅＢ，ＳｏｕｇａｎｉｄｉｓＰ．Ｅｘｉｓｔｅｎｃｅａｎｄｓｔａｂｉｌｉｔｙｏｆｅｎｔｒｏｐｙｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｈｙｐｅｒｂｏｌｉｃｓｙｓｔｅｍｓｏｆｉｓｅｎｔｒｏｐｉｃｇａｓｄｙｎａｍｉｃｓｉｎｅｕｌｅｒｉａｎａｎｄｌａｇｒａｎｇｉａｎｃｏｏｒｄｉｎａｔｅｓ．ＣｏｍｍｕｎＰｕｒｅＡｐｐｌＭａｔｈ，１９９６，４９（６）：５９９－６３８ １４ ＬｕＹ Ｇ．ＡｎｅｘｐｌｉｃｉｔｌｏｗｅｒｂｏｕｎｄｏｆｖｉｓｃｏｓｉｔｙｓｏｌｕｔｉｏｎｓｔｏｉｓｅｎｔｒｏｐｉｃｇａｓｄｙｎａｍｉｃｓａｎｄｔｏＥｕｌｅｒｅｑｕａｔｉｏｎｓ．Ｐｒｅｐｒｉｎｔ９５－１８，ＨｅｉｄｅｌｂｅｒｇＵｎｉｖｅｒｓｉｔｙ，ＳＦＢ３５９，Ａｐｒｉｌ１９９５ １５ ＭｕｒａｔＦ．Ｃｏｍｐａｃｉｌｅｐａｒｃｏｍｐｅｎｓａｔｉｏｎ．ＡｎｎＳｃｕｌａＮｏｒｍＳｕｐＰｉｓａＳｃｉＭａｔｈ，１９７８，５：４８９－５０７ １６ ＮｉｓｈｉｄａＴ．Ｇｌｏｂａｌｓｏｌｕｔｉｏｎｆｏｒａｎｉｎｉｔｉａｌｂｌｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｏｆａｑｕａｓｉｌｉｎｅａｒｈｙｐｅｒｂｏｌｉｃｓｙｓｔｅｍｓ．ＰｒｏｃＪａｐＡｃａｄ，１９６８，４４：６４２－６４６ １７ ＮｉｓｈｉｄａＴ，ＳｍｏｌｌｅｒＪ．Ｓｏｌｕｔｉｏｎｓｉｎｔｈｅｌａｒｇｅｆｏｒｓｏｍｅｎｏｎｌｉｎｅａｒｈｙｐｅｒｂｏｌｉｃｃｏｎｓｅｒｖａｔｉｏｎｌａｗｓ．ＣｏｍｍｕｎＰｕｒｅＡｐｐｌＭａｔｈ，１９７３，２６：１８３－２００ １８ ＳｍｏｌｌｅｒＪ．Ｓｈｏｃｋｗａｖｅｓａｎｄｒｅａｃｔｉｏｎｄｉｆｆｕｓｉｏｎｅｑｕａｔｉｏｎｓ．Ｂｅｒｌｉｎ：Ｈｅｉｄｅｌｂｅｒｇ，Ｎｅｗ Ｙｏｒｋ：Ｓｐｒｉｎｇｅｒ，１９８２ １９ ＴａｒｔａｒＬ．Ｃｏｍｐｅｎｓａｔｅｄｃｏｍｐａｃｔｎｅｓｓａｎｄａｐｐｌｉｃａｔｉｏｎｓｔｏｐａｒｔｉａｌｅｑｕａｉｔｏｎｓ．Ｉｎ：ＫｎｏｐｓＲＪｅｄ．Ｒｅｓｅａｒｃｈｎｏｔｅｓｉｎ ｍａｔｈｅｍａｔｉｃｓ，ｎｏｎｌｉｎｅａｒａｎａｌｙｓｉｓａｎｄｍｅｃｈａｎｉｃｓ，ｈｅｒｉｏｔｗａｔｔｓｙｍｐｏｓｉｕｍ．Ｖｏｌ４．Ｌｏｎｄｏｎ：ＰｉｔｍａｎＰｒｅｓｓ，１９７９
Cited
Influence Analysis on Semiparametric Generalized Linear Mixed Model
Local Strassen's Law of the Iterated Logarithm for Diffusion Processes in H
Existence of Positive Periodic Solutions of a Prey-Predator
System with Several Delays