| 具有一般边值条件的广义BBM-Burgers方程解的大时间性态 |
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| 引用本文： | 罗祠军. 具有一般边值条件的广义BBM-Burgers方程解的大时间性态[J]. 西南大学学报(自然科学版), 2011, 33(5) |
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| 作者姓名： | 罗祠军 |
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| 作者单位： | 暨南大学数学系; |
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| 基金项目： | 国家自然科学基金天元基金资助项目(10926141) |
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| 摘 要： | 研究具有一般边界条件的广义BBM-Burgers方程解的大时间性态,证明了其解的整体存在性以及解渐近收敛到一个弱稳定波或一个弱稳定波与一个弱稀疏波的叠加.
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| 关 键 词： | 一般边界条件 稳定波 稀疏波 L2加权能量方法 大时间性态 |
Large-Time Behavior of Solutions of the Generalized BBM-Burgers Equation with a General Boundary |
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| LUO Ci-jun. Large-Time Behavior of Solutions of the Generalized BBM-Burgers Equation with a General Boundary[J]. Journal of southwest university (Natural science edition), 2011, 33(5) |
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| Authors: | LUO Ci-jun |
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| Affiliation: | LUO Ci-jun Department of Mathematics,Jinan University,Guangzhou 510632,China |
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| Abstract: | This paper is concerned with the large-time behavior of solutions of the generalized BBM-Burgers equation with a general boundary data and proves that its global solution exists and converges time-asymptotically to a weak stationary wave or to the linear superposition of a weak stationary wave and a weak rarefaction wave of it. |
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| Keywords: | general boundary condition stationary wave rarefaction wave weighted energy method large-time behavior |
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