| 具有边界影响的广义BBM-Burgers方程解的渐近性态 |
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| 引用本文： | 叶芳慧. 具有边界影响的广义BBM-Burgers方程解的渐近性态[J]. 暨南大学学报(自然科学与医学版), 2007, 28(3): 224-228 |
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| 作者姓名： | 叶芳慧 |
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| 作者单位： | 玉林师范学院数学与计算机科学系,广西,玉林,537000 |
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| 摘 要： | 研究了具有边界影响的广义BBM-Burgers方程ut f(u)x=uxx uxxt的解的渐近性态. 对于具有一条边界影响的广义BBM-Burgers方程, 用L2-能量方法证明初边值为小扰动的条件下,相应的一般初边值问题解的整体存在性及渐近收敛到一个驻波或一个稀疏波或这两种非线性波的叠加.
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| 关 键 词： | 广义BBM-Burgers方程 初边值问题 解的渐近性态 先验估计 驻波 稀疏波 |
| 文章编号： | 1000-9965（2007）03-0224-05 |
| 修稿时间： | 2007-03-09 |
Asymptotic behavior of solutions of generalized BBM-Burgers equation with boundary effect |
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| YE Fang-hui. Asymptotic behavior of solutions of generalized BBM-Burgers equation with boundary effect[J]. Journal of Jinan University(Natural Science & Medicine Edition), 2007, 28(3): 224-228 |
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| Authors: | YE Fang-hui |
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| Affiliation: | Department of Mathematics and computers, Yulin Normal College, Guangxi Yulin 537000, China |
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| Abstract: | Asymptotic behavior of solutions are studied for the generalized BBM-Burgers equation ut+f(u)x=uxx+uxxt with one-side boundary effect.Under the condition that the initial and boundary data have small perturbation,by using an L 2-energy method it is proved that,the global solution of corresponding general initial-boundary value problem exists and it converges time-asymptotically to a stationary wave or a rarefaction wave or a superposition of these two kinds of waves. |
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| Keywords: | generalized BBM-Burgers equation initial-boundary value problem asymptotic behavior of solution a priori estimate stationary solution rarefaction wave |
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