PERTURBATIONS

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Algorithm for transient growth of perturbations in channel Poiseuille flow
《Applied Mathematics and Mechanics(English Edition)》2017年第11期1635-1650,共16页Jianlei ZHANG Gang DONG Yi LI 
supported by the National Natural Science Foundation of China(No.11372140)
This study develops a direct optimal growth algorithm for three-dimensional transient growth analysis of perturbations in channel flows which are globally stable but locally unstable. Different from traditional non-mo...
关键词：transient growth Poiseuille flow Arnoldi method Krylov subspace adjoint equation 
USEFUL RELATIVE MOTION DESCRIPTION METHOD FOR PERTURBATIONS ANALYSIS IN SATELLITEFORMATION FLYING
《Applied Mathematics and Mechanics(English Edition)》2005年第11期1464-1474,共11页孟鑫 李俊峰 高云峰 MA Xing-rui 
ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10202008);theSpecializedResearchFoundfortheDoctoralProgramsofHigherEducation(No.20020003024)
A set of parameters called relative orbital elements were defined to describe the relative motion of the satellites in the formation flying. With the help of these parameters, the effect of the perturbations on the re...
关键词：satellite formation flying relative orbital element gravitational perturbation drift rate rotation rate 
SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD
《Applied Mathematics and Mechanics(English Edition)》2002年第8期963-972,共10页李大鸣 张红萍 高永祥 
theNationalNaturalScienceFoundationofChina ( 2 96760 3 0 )
A method that series perturbations approximate solutions to N-S equations with boundary conditions was discussed and adopted. Then the method was proved in which the asymptotic solutions of viscous fluid flow past a s...
关键词：asymptotic expansion matched method series perturbation N-S equation viscous fluid flow past a sphere 
ON THE PROBLEM OF DISSIPATIVE PERTURBATIONS OF NONEXPANSIVE MAPPINGS
《Applied Mathematics and Mechanics(English Edition)》2001年第4期478-482,共5页LUO Yuan-song(罗元松) 
theMajorScientificResearchFundoftheEducationalCommitteeofSichuanProvince (No .[1 998]1 62‘OnNonlinearEquationResearchofAccret
Some Fixed point theorems for mappings of the type - A + T are established, where P is a cone in a Hilbert space, A: P --> 2(P) is an accretive mappings and T: P --> P is a nonexpansive mappings. In application, the r...
关键词：nonexpansive mapping accretive mapping fixed point theorem nonlinear integral equation 
SINGULAR　PERTURBATIONS　FOR　A　CLASS　OF　BOUNDARY　VALUE　PROBLEMS　OF　HIGHER　ORDER　NONLINEAR　DIFFERENTIAL　EQUATIONS
《Applied Mathematics and Mechanics(English Edition)》1996年第12期1193-1201,共9页史玉明 刘光旭 
In this paper, it has been studied that the singular perturbations for the higherorder nonlinear boundary value problem of the formε2y(n)=f(t, ε, y. '', y(n-2))pj(ε)y(1)(0, ε)-qj(ε)y(j+1)(0. ε)=Aj(ε) (0≤j≤n-3...
关键词：nonlinear boundary value problem singular perturbation uniformly efficient asymptotic expansion higher orderdifferential inequalities boundary layer correction 
GAUSS WHITE NOISE PERTURBATIONS OF NONHOLONOMIC MECHANICAL SYSTEMS
《Applied Mathematics and Mechanics(English Edition)》1993年第10期945-952,共8页申泽淳 刘风丽 
The perturbations of nonholonomic mechanical systems under the Gauss white noises are studied in this paper. It is proved that the differential equations of the first-order moments of the solution process coincide wit...
关键词：nonholonomic systems white noises random differential equations 
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