| Long time behavior for damped generalized coupled nonlinear wave equations.Ⅰ.Bounded domain |
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| 作者姓名： | Shaomei FANG Depatment of Mathematics Shaoguan University Shaoguan China Graduate School Chinese Academy of Engineering Physics Beijing China |
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| 作者单位： | Shaomei FANG Depatment of Mathematics，Shaoguan University，Shaoguan 512005，China; Graduate School，Chinese Academy of Engineering Physics，Beijing 100088，China |
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| 摘 要： | Introduction In 1], the authors established the unique ekistence of the smooth solution for the couplednonlinear equations. These were proposed to describe the iateraction process of internal longwaves. In 2], Ito proposed a recursion operator by which he inferred that the equations possess infinitely many symmetries and constants of motion. In 3], He established the ealstenceo f a smooth solution to the system of coupled nonlinear KdV equationl41. We remark thatSchonbekls] dealt' with a…
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Long time behavior for damped generalized coupled nonlinear wave equations. I . Bounded domain |
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| Shaomei FANG Depatment of Mathematics,Shaoguan University,Shaoguan ,China, Graduate School,Chinese Academy of Engineering Physics,Beijing ,China.Long time behavior for damped generalized coupled nonlinear wave equations. I . Bounded domain[J].非线性科学与数值模拟通讯(英文版),2001(2). |
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| Authors: | Shaomei FANG Depatment of Mathematics Shaoguan University Shaoguan China Graduate School Chinese Academy of Engineering Physics Beijing China |
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| Institution: | Shaomei FANG Depatment of Mathematics,Shaoguan University,Shaoguan 512005,China, Graduate School,Chinese Academy of Engineering Physics,Beijing 100088,China |
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| Abstract: | We study the global attractors for the periodic initial value problem of damped KdV type nonlinear wave equations. By means of a uniformly a priori estimates for time, the global attractors are also obtained. |
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| Keywords: | KdV type nonlinear wave equations global attractor Galerkin methods |
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