| APPROXIMATION TO THE GLOBAL ATTRACTOR FOR A NONLINEAR SCHRODINGER EQUATION |
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| 作者姓名： | GUOBOLING WANGBIXIANG |
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| 摘 要： | Abstract. In the present paper, we deal with the long-time behavior of dissipative partial differenttial equations, and we construct the approximate inertial mardfolds for the nonlbaear Stringer equation with a zero order dlssipation. The order of approximation of these manlfolde to the global attractor is derived.
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| 关 键 词： | 非线性schrodinger方程 全局吸引子 数值逼近 计算数学 收敛性 偏微分方程 |
| 收稿时间： | 27 December 1994 |
Approximation to the global attractor for a nonlinear Schrödinger equation |
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| GUOBOLING WANGBIXIANG.APPROXIMATION TO THE GLOBAL ATTRACTOR FOR A NONLINEAR SCHRODINGER EQUATION[J].Applied Mathematics A Journal of Chinese Universities,1996,11(2):125-136. |
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| Authors: | Boling Guo Bixiang Wang |
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| Institution: | (1) Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, 100088 Beijing |
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| Abstract: | In the present paper, we deal with the long-time behavior of dissipative partial differential equations, and we construct the approximate inertial manifolds for the nonlinear Schrödinger equation with a zero order dissipation. The order of approximation of these manifolds to the global attractor is derived. |
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| Keywords: | 35K57 35B40 |
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