Attractors for Fully Discrete Finite Difference Scheme of Dissipative Zakharov Equations |
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| Authors: | Zhang Fayong Guo Boling |
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| Affiliation: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China;2. School of Mathematical Science, Heilongjiang University, Harbin 150080, China;3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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| Abstract: | A fully discrete finite difference scheme for dissipative Zakharov equations is analyzed. On the basis of a series of the time-uniform priori estimates of the difference solutions, the stability of the difference scheme and the error bounds of optimal order of the difference solutions are obtained in L2×H1×H2 over a finite time interval (0, T]. Finally, the existence of a global attractor is proved for a discrete dynamical system associated with the fully discrete finite difference scheme. |
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| Keywords: | dissipative Zakharov equations dynamical system global attractor finite difference method |
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