| 扩散引起的爆破问题研究进展 |
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| 引用本文： | 王明新.扩散引起的爆破问题研究进展[J].黄冈师范学院学报,2001,21(3):9-13. |
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| 作者姓名： | 王明新 |
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| 作者单位： | 东南大学,应用数学系,江苏,南京,210018 |
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| 基金项目： | 国家自然科学基金资助项目 (1 983 1 0 60) |
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| 摘 要： | 1 IntroductionProblem 1 A long- standing question in the theory of differential equations asks whether theaddition of diffusion in a reaction mechanism can cause blow- up in finite time.More specifically,doesthere exist a locally Lipschitz vector field f :Rm→ Rm,a positive definite diagonal m× m matrix D anda smooth bounded function u0 (x) ,such that for all y0 ∈ Rm ,solutions of ODEy (t) =f(y(t) ) , t>0 ; y(0 ) =y0 , (1 )exist for all time,but solution to initial- boundary value …
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| 关 键 词： | 扩散 异类边界条件 有限时刻爆破 抛物型微分方程 柯西问题 |
Blowup phenomena caused by diffusion and boundary condition :the sequel |
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| WANG Ming-xin.Blowup phenomena caused by diffusion and boundary condition :the sequel[J].Journal of Huanggang Normal University,2001,21(3):9-13. |
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| Authors: | WANG Ming-xin |
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| Abstract: | 1 Introduction Problem 1 A long-standing question in the theory of differential equations asks whether the addition of diffusion in a reaction mechanism can cause blow-up in finite time. |
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| Keywords: | diffusion the different type of boundary conditon blow-up in finite time |
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