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1.
《应用数学学报》2012,(3):573-576
A Remark on the Beale-Kato-Majda Criterion for the 3D MHD Equations with Zero Kinematic Viscosity—Sadek GALA,Xiao-chun CHEN In this paper,we study the blow-up criterion of smooth solutions to the 3D magneto-hydrodynamic system in B0∞,∞.We show that a smooth solution of the 3D MHD equations with zero kinematic viscosity in the whole space R3 breaks down if and only if certain norm of the vorticity blows up at the same time.  相似文献   

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2005年第21卷第1期摘要A TWO-LEVEL METHOD FOR NONSYMMETRIC EIGENVALUE PROBLEMS -Karel Kolman A two-level discretization method for eigenvalue problems is studied. Compared to the standard Galerkin finite element discretization technique performed on a fine grid this method discretizes the eigenvalue problem on a coarse grid and obtains an improved eigenvector (eigenvalue) approximation by solving only a linear problem on the fine grid (or two linear problems for the case of eigenvalue approximation of nonsymmetric problems). The improved solution has the asymptotic accuracy of the Galerkin discretization solution. The link between the method and the iterated Galerkin method is established. Error estimates for the general nonsymmetric case are derived.  相似文献   

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DYNAMICSINCOUPLEDSYSTEMSOFJOSEPHSONJUNCTIONSWITHOUTCAPACITYEFFECT~ZHOUSHENGFAN,ZHUSHUInthispaper)weanalyzethestructuresoftheglobalattractorsofthecoupledsystemsofcontinuousJosephsonjunctionsandthetwo-pointJosephsonjunctionwithoutcapacityeffect.Weprovethate…  相似文献   

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EXTENSIONSON2-EDGECONNECTED3-REGULARUP-EMBEDDABLEGRAPHS-HUANGYUANQIU,LIUYANPEIItisknown[5]thataninvestigationoftheup-embeddabilityofthe3-regulargraphsshowsausefulapproachtothatofthegeneralgraph.Butasfar,veryfewcharacterizationsoftheuThembeddabilityareknow…  相似文献   

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Vol.6 1990CONTENTSNo.1Rooen,5 Gradien七Projeo七ion wi七h DiooreteS七ep。·········……价确a二g“ongThe Global Solu七lon of Ini七ial Value Problem for Nonlinear Sohr6亩nger- Bon。,jnesq Equa七ion in3一Dimensions……口、0 Bo乙咯二9 ShenL哪好“。TheC对一Embedded Problem and Optimali七y Condi七ions··················…… ····,······················,··…灭落“玄瓦儿妙。价:拟初云J.一J.殉;!/e二V.凡,nAn Algorithm ProPosed for Buoy一P…  相似文献   

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ASYMPTOTIC EXPANSIONS OF TRANSITION DENSITIES FOR HYBRID JUMP-DIFFUSIONS ?Yuan-jin Liu, G. YinA class of hybrid jump diffusions modulated by a Markov chain is considered in this work. The motivation stems from insurance risk models, and emerging applications in production planning and wireless communications. The models are hybrid in that they involve both con-  相似文献   

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TESTING LACK-OF-FIT FOR A POLYNOMIAL ERRORS-IN-VARIABLES MODEL— Li-xing Zhu, Wei-xing Song, Heng-jian CuiWhen a regression model is applied as an approximation of underlying model of data, the model checkingis important and relevant. In this paper, we investigate the lack-of-fit test for a polynomial error-in-variablesmodel. As the ordinary residuals are biased when there exist measurement errors in covariables, we correct themand then construct a residual-based test of score type. The constructed test is asymptotically chi-squared undernull hypotheses. Simulation study shows that the test can maintain the significance level well. The choice ofweight functions involved in the test statistic and the related power study are also investigated. The applicationto two examples is illustrated. The approach can be readily extended to handle more general models.  相似文献   

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THESTRONGLAWOFLARCENUMBERANDPARAMETERESTIMATIONOFONECLASSOFNON-NEGATIVEINTEGER-VALUEDTIMESERIESWUYOUGUI,XUWENYUAN,DUJINGUAN,LIYUANIn[7],ageneralinteger-valuedtimeseriesmodel,thegeneralizationofthemodelproposedbyAl-OshandAl..id[1]5hasbeenproposed.Itsstationarityandspectralrepresentationhasbeeninvestigated.Inthispaper,wemakeafurtherstudyofthemodel.Itsstronglawoflargenumbersandparameterestimationareobtained.Attheendofthepaper,wegiveafewopenprobl…  相似文献   

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NONUNIFORM APPROACH TO TERMINAL VELOCITY FOR SINGLE MODERAYLEIGH-TAYLOR INSTABILITY - JAMES GLIMM, XIAO-LIN LI, AN-DER LINThe temporal development of a single mode Rayleigh-Taylor instability consists of threestages: the linear, free fall and terminal velocity regimes. The purpose of this paper is toreport on new phenomena observed in the approach to terminal velocity Our numericalstudy shows an unexpected nonuniform approach to terminal velocity The no…  相似文献   

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A TIGHTER BOUND FOR FFd ALGORITHM- LI RONGHENG, YUE MINYIFor the bin-packing FFD algorithm we give a proof of FFD(L)≤(_9~11) OPT(L) _(9~7). Thebest bound before was FFD(L)≤_(9~11) OPT(L) 1 given by Yue Minyi.NUMERICAL ANAWSIS OF BIFUACMION PROBLEM WITH CORANK-n- WANG HEYUANIn this paper, numerical approximation of solution branches of bifurcation problem withcorank-n is studied.CONVERGENCE OF ALGORITHMS FOR FINDING EIGENVECT…  相似文献   

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NONUNIFORM APPROACH TO TERMINAL VELOCITY FOR SINGLE MODERAYLEIGH-TAYLOR INSTABILITY——Howel Tong Ireflect upon the development of nonlinear time series analysis since 1990 by focusing on five major  相似文献   

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SOME PROPERTIES OF A LACK-OF-FIT TEST FOR A LINEAR ERRORS IN VARIABLES MODEL ?LI-XING ZHU, HENG-JIAN CUI, K.W. NGThe relationship between the linear errors-in-variables model and the corresponding ordinary linear model in statistical inference is studied. It is shown that normality of the distribution of covariate is a necessary and sufficient condition for the equivalence. Therefore, testing for lack-of-fit in linear errorsin-variables model can be converted into testing for it in the corresponding ordinary linear model under normality assumption. A test of score type is constructed and the limiting chi-squared distribution is derived under the null hypothesis. Furthermore, we discuss the power of the test and the choice of the weight function involved in the test statistic.  相似文献   

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EXISTENCE OF THREE POSITIVE SOLUTIONS FOR QUASI-LINEAR BOUND- ARY VALUE PROBLEM-Jing-li Ren,Wei-gao Ge,Bao-xian Ren In this paper,we prove a new fixed point theorem in cones and obtain the existence of triple positive solutions for a class of quasi—linear three—point boundary value problems.  相似文献   

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STABILITY AND EXISTENCE OF MULTIDIMENSIONAL SUBSONIC PHASETRANSITIONS-Ya-Guang Wang, Zhouping Xin The purpose of this paper is to prove the uniform stability of multidimensional subsonicphase transitions satisfying the viscosity-capillarity criterion In a van der Waals fluid, andfurther to establish the local existence of phase transition solutions.  相似文献   

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Cauchy-Born Rule and the Stability of Crystalline Solids:Dynamic Problems --Wei-nan E,Ping-bing Ming We study continuum and atomistic models for the elastodynamics of crystalline solids at zero temperature.We establish sharp criterion for the regime of validity of the nonlinear elastic wave equations derived from the well-known Cauchy-Born rule.  相似文献   

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《应用数学学报》2013,(1):189-192
Construetion and Regularity of Transition Ftlnetions on Polish SPaces under Measur- ability Conditions——Liu-er Ye,Xian-Ping Guo This paper  相似文献   

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Asymptotic Weighted-Periodicity of the Impulsive Parabolic Equation with Time Delay—Jin-liang Wang, Hui-feng Li The main aim of this paper is to investigate the effects of the impulse and time delay on a type of parabolic equations. In view of the characteristics of the equation, a particular iteration scheme is adopted. The results show that Under certain conditions on the coefficients of the equation and the impulse, the solution oscillates in a particular manner—called "asymptotic weighted-periodicity".  相似文献   

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