Acta mathematica scientia, Series B >
ATTRACTORS FOR FULLY DISCRETE FINITE DIFFERENCE SCHEME OF DISSIPATIVE ZAKHAROV EQUATIONS
Received date: 2010-09-17
Online published: 2012-11-20
Supported by
The research was Supported by the National Natural Science Foundation of China (10371077).
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.
ZHANG Fa-Yong , GUO Bai-Ling . ATTRACTORS FOR FULLY DISCRETE FINITE DIFFERENCE SCHEME OF DISSIPATIVE ZAKHAROV EQUATIONS[J]. Acta mathematica scientia, Series B, 2012 , 32(6) : 2431 -2452 . DOI: 10.1016/S0252-9602(12)60190-8
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