| 关于一类核反应问题的整体解及blow—up |
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| 引用本文： | 崔泽建.关于一类核反应问题的整体解及blow—up[J].四川大学学报(自然科学版),1998,35(5):677-681. |
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| 作者姓名： | 崔泽建 |
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| 作者单位： | 四川师范学院 |
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| 摘 要： | 用上，下解方法研究一类反应扩散方程整体解的存在性及解的ｂｌｏｗ－ｕｐ问题，以往的研究在ｕ０－ｖ０相平面上有一个空白区域，在其上不能判定解是整体存在或者ｂｌｏｗ－ｕｐ本文在ｕ０－ｖ０相平面上得出一条明确分界线，在其一侧解是整体存在的，在另一侧解是ｂｌｏｗ－ｕｐ从而完全地解决了该问题。
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| 关 键 词： | 整体解 Blow－up 反应扩散方程 上解 下解 反应堆 |
ON BLOW UP SOLUTIONS AND GLOBAL SOLUTIONS FOR A CLASS OF NUCLEAR REACTION PROBLEMS |
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| Cui,Zejian.ON BLOW UP SOLUTIONS AND GLOBAL SOLUTIONS FOR A CLASS OF NUCLEAR REACTION PROBLEMS[J].Journal of Sichuan University (Natural Science Edition),1998,35(5):677-681. |
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| Authors: | Cui Zejian |
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| Abstract: | By the method of upper and lower solutions,the author considered the existence and blow up problems of global solutions for a class of nuclear reaction,and gave a separatrix on phase plane u 0 v 0 ,at a side the solution is global existential,and at another side it is blaw up.So this problem was solved completely. |
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| Keywords: | global solutions blow up upper solutions lower solutions |
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