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多孔介质中的一类双扩散扰动模型的解的连续依赖性

石金诚 肖胜中

石金诚, 肖胜中. 多孔介质中的一类双扩散扰动模型的解的连续依赖性[J]. 应用数学和力学, 2020, 41(10): 1092-1102. doi: 10.21656/1000-0887.410128
引用本文: 石金诚, 肖胜中. 多孔介质中的一类双扩散扰动模型的解的连续依赖性[J]. 应用数学和力学, 2020, 41(10): 1092-1102. doi: 10.21656/1000-0887.410128
SHI Jincheng, XIAO Shengzhong. Continuous Dependence of Solutions to a Class of Double Diffusion Perturbation Models for Porous Media[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1092-1102. doi: 10.21656/1000-0887.410128
Citation: SHI Jincheng, XIAO Shengzhong. Continuous Dependence of Solutions to a Class of Double Diffusion Perturbation Models for Porous Media[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1092-1102. doi: 10.21656/1000-0887.410128

多孔介质中的一类双扩散扰动模型的解的连续依赖性

doi: 10.21656/1000-0887.410128
基金项目: 国家自然科学基金(11371175)
详细信息
    作者简介:

    石金诚(1983—),男,讲师,硕士(E-mail: hning0818@163.com);肖胜中(1965—),男,教授(通讯作者. E-mail: 1246683963@qq.com).

  • 中图分类号: O175.29

Continuous Dependence of Solutions to a Class of Double Diffusion Perturbation Models for Porous Media

Funds: The National Natural Science Foundation of China(11371175)
  • 摘要: 研究了定义在有界区域上的多孔介质中一类双扩散扰动模型解的结构稳定性。假设模型在区域的边界上满足非齐次Robin边界条件,利用能量分析的方法和微分不等式技术,首先得到了解的先验估计;然后在此基础上推出了关于解的微分不等式;通过积分该微分不等式, 最后建立了解对Lewis数Le的连续依赖性结果。该结果表明,双扩散扰动模型用来描述多孔介质中流体的流动情况是精确的.
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出版历程
  • 收稿日期:  2020-05-08
  • 修回日期:  2020-06-09
  • 刊出日期:  2020-10-01

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