| 带非局部源退化奇异抛物方程组的一致爆破模式 |
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| 引用本文： | 魏云峰. 带非局部源退化奇异抛物方程组的一致爆破模式[J]. 淮北煤炭师范学院学报(自然科学版), 2010, 31(4) |
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| 作者姓名： | 魏云峰 |
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| 作者单位： | 南京审计学院金审学院,江苏,南京,210029 |
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| 摘 要： | 文章研究了带有齐次Dirichlet边界条件的非线性非局部源的退化奇异抛物型方程组正解的一致爆破模式,在适当的假设条件下,证明了爆破集是整个区域,精确地得到了正解的一致爆破模式.
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| 关 键 词： | 退化奇异抛物方程 非局部源 一致爆破模式 |
Uniform Blow-up Profile for a Degenerate and Singular Parabolic System with Nonlocal Sources |
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| WEI Yun-feng. Uniform Blow-up Profile for a Degenerate and Singular Parabolic System with Nonlocal Sources[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2010, 31(4) |
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| Authors: | WEI Yun-feng |
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| Affiliation: | WEI Yun-feng(Department of Golden College,Nanjing Audit University,210029,Nanjing,Jiangsu,China) |
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| Abstract: | This paper deals with uniformly blow-up profile of positive solution for a degenerate and singular parabolic system with nonlinear nonlocal sources subject to the homogeneous Dirichlet boundary conditions.Under appropriate hypotheses,it is proved that the blow-up set is the whole domain.Furthermore,the uniform blow-up profile of positive solution is precisely determined. |
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| Keywords: | a degenerate and singular parabolic system nonlocal sources uniform blow-up profile |
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