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广义BBM-Burgers方程边界层解的渐近稳定性

Asymptotic stability of boundary layer solutions for generalized BBM-Burgers equation
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摘要 研究半空间中具有一般边界条件的广义BBM-Burgers方程在流函数是一般非线性光滑函数且初始扰动大的条件下边界层解的渐近稳定性,并导出此初边值问题的解渐近收敛到边界层解的一个指数收敛率,从而澄清了一般边界条件对收敛率的影响. Asymptotic stability of boundary layer solutions for generalized BBM-Burgers equation with general boundary data and general smooth nonlinear flux function in a half space under the condition of large initial perturbation is concerned. An exponential time decay rates of solutions toward boundary layer solutions is derived for this initial boundary value problem. This clarifies the effect of general boundary data on the convergence rate.
作者 刘艳 罗祠军 刘红霞
机构地区 暨南大学数学系
出处 《暨南大学学报（自然科学与医学版）》 CAS CSCD 北大核心 2012年第1期14-22,共9页 Journal of Jinan University(Natural Science & Medicine Edition)
基金 国家自然科学基金资助项目(10871082)
关键词 广义BBM-BURGERS方程 边界层解 渐近稳定性 收敛率 generalized BBM-Burgers equation boundary layer solution asymptotic stability convergence rate
分类号 O175.27 [理学—基础数学]
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参考文献10

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暨南大学学报（自然科学与医学版）
2012年 第1期

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