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含有非线性梯度项的退化抛物方程解的爆破率估计

张正策 王彪

张正策, 王彪. 含有非线性梯度项的退化抛物方程解的爆破率估计[J]. 应用数学和力学, 2010, 31(6): 756-764. doi: 10.3879/j.issn.1000-0887.2010.06.013
引用本文: 张正策, 王彪. 含有非线性梯度项的退化抛物方程解的爆破率估计[J]. 应用数学和力学, 2010, 31(6): 756-764. doi: 10.3879/j.issn.1000-0887.2010.06.013
ZHANG Zheng-ce, WANG Biao. Blow-up Rate Estimate for Degenerate Parabolic Equation With Nonlinear Gradient Term[J]. Applied Mathematics and Mechanics, 2010, 31(6): 756-764. doi: 10.3879/j.issn.1000-0887.2010.06.013
Citation: ZHANG Zheng-ce, WANG Biao. Blow-up Rate Estimate for Degenerate Parabolic Equation With Nonlinear Gradient Term[J]. Applied Mathematics and Mechanics, 2010, 31(6): 756-764. doi: 10.3879/j.issn.1000-0887.2010.06.013

含有非线性梯度项的退化抛物方程解的爆破率估计

doi: 10.3879/j.issn.1000-0887.2010.06.013
基金项目: 国家自然科学基金青年资助项目(10701061)
详细信息
    作者简介:

    张正策(1976- ),男,河南邓州人,副教授,博士(联系人.Tel:+86-29-82663522;E-mail:zhangzc@mail.xjtu.edu.cn);王彪(E-mail:wang.biao@stu.xjtu.edu.cn).

  • 中图分类号: O175.26;O175.29;O29

Blow-up Rate Estimate for Degenerate Parabolic Equation With Nonlinear Gradient Term

  • 摘要: 利用尺度变换方法和抛物方程的正则性估计,证明了一类含有非线性梯度项的退化多孔介质方程解的爆破率,它是由扩散项和边界流相互作用决定的.与以前有关的结论比较,有趣的发现是,次数不超过2的梯度项不会影响解的爆破率.
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出版历程
  • 收稿日期:  1900-01-01
  • 修回日期:  2010-04-19
  • 刊出日期:  2010-06-15

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