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具有空变系数源项的半线性Moore-Gibson-Thompson方程全局解的非存在性

欧阳柏平

欧阳柏平. 具有空变系数源项的半线性Moore-Gibson-Thompson方程全局解的非存在性 [J]. 应用数学和力学,2022,43(3):353-362 doi: 10.21656/1000-0887.420094
引用本文: 欧阳柏平. 具有空变系数源项的半线性Moore-Gibson-Thompson方程全局解的非存在性 [J]. 应用数学和力学,2022,43(3):353-362 doi: 10.21656/1000-0887.420094
OUYANG Baiping. Nonexistence of Global Solutions to Semilinear Moore-Gibson-Thompson Equations With Space-Dependent Coefficients and Source Terms[J]. Applied Mathematics and Mechanics, 2022, 43(3): 353-362. doi: 10.21656/1000-0887.420094
Citation: OUYANG Baiping. Nonexistence of Global Solutions to Semilinear Moore-Gibson-Thompson Equations With Space-Dependent Coefficients and Source Terms[J]. Applied Mathematics and Mechanics, 2022, 43(3): 353-362. doi: 10.21656/1000-0887.420094

具有空变系数源项的半线性Moore-Gibson-Thompson方程全局解的非存在性

doi: 10.21656/1000-0887.420094
基金项目: 国家自然科学基金 (11371175);广东省普通高校创新团队项目(2020WCXTD008);广州市哲学社会科学发展“十三五”规划课题(2019GZGJ209)
详细信息
    作者简介:

    欧阳柏平(1979—),男,讲师,硕士(E-mail:oytengfei79@tom.com)

  • 中图分类号: O175.4

Nonexistence of Global Solutions to Semilinear Moore-Gibson-Thompson Equations With Space-Dependent Coefficients and Source Terms

  • 摘要:

    研究了具有空变系数源项的半线性Moore-Gibson-Thompson(MGT)方程Cauchy问题解的爆破现象。在次临界情形下,通过选择合适的能量泛函和测试函数,运用迭代方法和一些微分不等式技巧,得到了其Cauchy问题解的非全局存在性。进一步导出了其Cauchy问题解的生命跨度的上界估计。

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出版历程
  • 收稿日期:  2021-04-13
  • 修回日期:  2021-10-27
  • 网络出版日期:  2021-11-09
  • 刊出日期:  2022-03-08

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