| 一类广义KdV—Burgers型方程的整体解 |
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| 引用本文： | 尚亚东.一类广义KdV—Burgers型方程的整体解[J].西安石油大学学报(自然科学版),1993(3). |
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| 作者姓名： | 尚亚东 |
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| 作者单位： | 西安石油学院基础部 |
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| 摘 要： | 本文研究一类带三阶粘性项的广义 KdV—Burgers 型方程的周期边值问题,初值问题运用 Galerkin 逼近方法结合能量估计,得到了这些问题整体解的存在性,正则性,唯一性和稳定性等结果.
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| 关 键 词： | KdV—Burgers 方程 BBM方程 周期边值问题 初值问题 整体解 GaIerkin 方法 能量估计 |
The Global Solution for a Class of the Generalized KdV-Burgers Equations |
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| Shang Yadong.The Global Solution for a Class of the Generalized KdV-Burgers Equations[J].Journal of Xian Shiyou University,1993(3). |
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| Authors: | Shang Yadong |
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| Institution: | Dept.of Basic Courses |
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| Abstract: | This paper studies the problems of periodic boundary value and the initial value for a class of the generalized KdV—Burgers type of equations with the third order viscous term.The existence,reg- ularity,Uniqueness and stability of the global solution of these problems are proved by meatus of energy estimation and Galerkin method. |
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| Keywords: | KdV—Burgers equation BBM equation problem of periodic boundary value initial value problem global solution Galerkin method energy estimation |
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