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REMARKS ON NONLINEAR GALERKIN METHOD FOR KURAMOTO-SIVASHINSKY EQUATION 被引量:1
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作者 伍渝江 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第10期0-0,0-0+0-0+0-0+0,共9页
This paper is concentrated on a nonlinear Galerkin method with sm small- scale components for Kuramoto-Sivashmsky equation, in which convergence results and the analysis of error estimates are given, The conclusion sh... This paper is concentrated on a nonlinear Galerkin method with sm small- scale components for Kuramoto-Sivashmsky equation, in which convergence results and the analysis of error estimates are given, The conclusion shows that this choce of modes is efficient .for The method modifred. 展开更多
关键词 nonlinear Galerkin method kuramoto-sivashinsky equation infinite dimensional dynamical systems
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EQUI-ATTRACTION AND BACKWARD COMPACTNESS OF PULLBACK ATTRACTORS FOR POINT-DISSIPATIVE GINZBURG-LANDAU EQUATIONS 被引量:1
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作者 李扬荣 佘连兵 尹金艳 《Acta Mathematica Scientia》 SCIE CSCD 2018年第2期591-609,共19页
A new concept of an equi-attractor is introduced, and defined by the minimal compact set that attracts bounded sets uniformly in the past, for a non-autonomous dynam- ical system. It is shown that the compact equi-att... A new concept of an equi-attractor is introduced, and defined by the minimal compact set that attracts bounded sets uniformly in the past, for a non-autonomous dynam- ical system. It is shown that the compact equi-attraction implies the backward compactness of a pullback attractor. Also, an eventually equi-continuous and strongly bounded process has an equi-attractor if and only if it is strongly point dissipative and strongly asymptotically compact. Those results primely strengthen the known existence result of a backward bounded pullback attractor in the literature. Finally, the theoretical criteria are applied to prove the existence of both equi-attractor and backward compact attractor for a Ginzburg-Landau equation with some varying coefficients and a backward tempered external force. 展开更多
关键词 non-autonomous systems point dissipative processes pullback attractors backward compact attractors equi-attractors Ginzburg-Landau equations
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