| SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION |
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| 作者姓名： | 马逸尘 胡常兵 |
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| 作者单位： | Research Centre for Applied Mathematics，Xi'an Jiaotong University，Xi'an 710049，China |
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| 摘 要： | 0IntroductionInertialmanifolds(IM)arenewobjectsthathavebeenintroducedinrelationwiththestudyoflargetimebehaviorofnonlineardissipativePDE,see1].In2],theyareextendedtodiscretizeddynamicsstemmingfromdissipativePDE.Frommathematicalpointofview,thesearesmootllfiniteLipschitzmanifoldsthatareinviantbytheflowofassociatedsolutions,andattractallthetrajectorieswithexponentialspeed,see1].Fromphysicalpointofview,IMmodeltheinteractionlawsbetweensmallandlargestructureofaturbulentflow,andrepresentsitspe…
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SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION |
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| Ma Yichen, Ha changsing.SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION[J].Acta Mathematica Scientia,1997(1). |
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| Authors: | Ma Yichen Ha changsing |
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| Abstract: | |
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| Keywords: | Nonlinear evolution equation Inertial Manifold Time discretization |
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