| 一类带有强耗散项非线性BBM型方程整体解的衰减估计与熄灭行为 |
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| 引用本文： | 范恩贵.一类带有强耗散项非线性BBM型方程整体解的衰减估计与熄灭行为[J].内蒙古大学学报(自然科学版),1995,26(4):396-401. |
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| 作者姓名： | 范恩贵 |
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| 作者单位： | 张家口农业高等专科学校基础部 |
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| 摘 要： | 考虑带有强耗散项ＢＢＭ型方程的初边值问题和周期边初值问题。首先用先验估计和Ｇａｌｅｒｋｉｎ方法证明了这二类定解问题整体可解，之后进一步讨论了这种解的衰减和熄灭性质。
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| 关 键 词： | BBM方程 整体解 衰减估计 熄灭 非线性 |
Decay Estimates and Extinction Phenomenon of Global Solutions for BBM Type Equations with Strongly Disspative Terms |
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| Fan Engui.Decay Estimates and Extinction Phenomenon of Global Solutions for BBM Type Equations with Strongly Disspative Terms[J].Acta Scientiarum Naturalium Universitatis Neimongol,1995,26(4):396-401. |
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| Authors: | Fan Engui |
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| Abstract: | he initial-boundary value problem and the periodic initial value problem for BBM type equa-tions u_t-u_(xxt) f(u)_x u_(xxxx) g(u)=0and u_t-u_(xxt) f(u)_x-u_(xx) u_(xxxx) g(u)=0are studied. First by priori estimates and Galerkin's method,the existence of the global solutionsfor these problems is established. Then the decay estimates and the condition of extinction for theglobal solutions are given. |
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| Keywords: | strongly dissipative BBM equation global solution decay estimate extinction |
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