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| 摘要: |
| 本文研究一维空间对流扩散方程柯西问题.利用格林函数,频谱分解,傅立叶变换等方法,得到了方程解的逐点估计.结果显示解沿特征线作传播. |
| 关键词: 对流扩散方程 逐点衰减估计 频谱分析 格林函数 |
| DOI： |
| 分类号:O175.28 |
| 基金项目:国家自然科学基金资助项目(11101121) |
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| POINTWISE ESTIMATE OF SOLUTION OF CONVECTION-DIFFUSION EQUATION IN ONE DIMENSION |
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XU Hong-mei,LI Jie
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| Abstract: |
| In this paper, we study the Cauchy problem of convection-diffusion equation in one dimension. By using Green function, Fourier analysis, frequency decomposition, we get some pointwise estimate of this solution, and the solution decay along the characteristic line with heat kernel. |
| Key words: convection-diffusion equation pointwise estimate frequency decomposition Green function |
