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可压缩反应气体模型的一致爆破率

徐润章 姜晓丽 刘杰

徐润章, 姜晓丽, 刘杰. 可压缩反应气体模型的一致爆破率[J]. 应用数学和力学, 2012, 33(1): 125-134. doi: 10.3879/j.issn.1000-0887.2012.01.010
引用本文: 徐润章, 姜晓丽, 刘杰. 可压缩反应气体模型的一致爆破率[J]. 应用数学和力学, 2012, 33(1): 125-134. doi: 10.3879/j.issn.1000-0887.2012.01.010
XU Run-zhang, JIANG Xiao-li, LIU Jie. Uniform Blow-Up Rate for a Compressible Reactive Gas Model[J]. Applied Mathematics and Mechanics, 2012, 33(1): 125-134. doi: 10.3879/j.issn.1000-0887.2012.01.010
Citation: XU Run-zhang, JIANG Xiao-li, LIU Jie. Uniform Blow-Up Rate for a Compressible Reactive Gas Model[J]. Applied Mathematics and Mechanics, 2012, 33(1): 125-134. doi: 10.3879/j.issn.1000-0887.2012.01.010

可压缩反应气体模型的一致爆破率

doi: 10.3879/j.issn.1000-0887.2012.01.010
基金项目: 国家自然科学基金资助项目(11101102);教育部博士点基金资助项目(20102304120022);黑龙江省自然科学基金资助项目(A201014);中央高校基本科研业务费资助项目(HEUCF20111101)
详细信息
    通讯作者:

    徐润章(1982—),男,河北人,副教授,博士(联系人.Tel:+86-451-82518277;E-mail:xurunzh@yahoo.com.cn).

  • 中图分类号: O175.29

Uniform Blow-Up Rate for a Compressible Reactive Gas Model

  • 摘要: 研究一类带有非线性非局部源项的可压缩反应气体模型方程的Dirichlet初始边界值问题.在一些假设条件下,证明了爆破率在有界域的所有紧子集中是一致的,并且证明了爆破率只与非线性非局部源的指数有关,而与扩散项的指数无关.
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出版历程
  • 收稿日期:  2011-05-30
  • 修回日期:  2011-11-03
  • 刊出日期:  2012-01-15

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