| 耗散型方程的非线性Galerkin方法 |
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| 引用本文： | 王守田.耗散型方程的非线性Galerkin方法[J].宁夏大学学报(自然科学版),2000,21(1):44-47. |
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| 作者姓名： | 王守田 |
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| 作者单位： | 大庆石油学院数学系,黑龙江安达,151400 |
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| 摘 要： | 对一类耗散方程引入了一种非线性Ｇａｌｅｒｋｉｎ方法，并证明了这种方法的收敛性，非线性Ｇａｌｅｒｋｉｎ方法可用来研究发展方程的长时间积分问题，这种方法本质上在于寻找位于某个非线性流形上的原方程的近似解。
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| 关 键 词： | 非线性Galerkin方法 耗散型方程 收敛性 |
| 修稿时间： | 1999-11-20 |
Nonlinear Galerkin methods for dissipative equations |
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| WANG Shou-tian.Nonlinear Galerkin methods for dissipative equations[J].Journal of Ningxia University(Natural Science Edition),2000,21(1):44-47. |
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| Authors: | WANG Shou-tian |
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| Abstract: | This paper presents a kind of nonlinear Galerkin method for a class of dissipative equations,and prove the convergence results of this methd.A nonlinear Galerkin method can well be adapted to study the long time integration of evolutionary equations.This method essentially consist in looking for approximate solutions lying in some nonlinear manifold (usually approximate inertial manifold). |
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| Keywords: | Galerkin method approximate inertial manifold dissipative partial differential equation nonlinear |
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