2009 Vol. 30, No. 7

Display Method:
Chaotic Motions for the Model of the L-Mode to H-Mode in Tokamak
CHEN Fang-qi, ZHOU Liang-qiang, WANG Xia, CHEN Yu-shu
2009, 30(7): 757-765. doi: 10.3879/j.issn.1000-0887.2009.07.001
Abstract(2196) PDF(698)
Abstract:
The chaotic dynamics of the transport equation for the L-mode to H-mode near plasma in Tokamak is studied in detail with Melnilov method.The transport equations represent a system with external and parametric excitation.The critical curves separating the chaotic regions and non-chaotic regions were ...
Boundary Conditions for Porous Solids Saturated With Viscous Fluid
M. D. Sharma
2009, 30(7): 766-776. doi: 10.3879/j.issn.1000-0887.2009.07.002
Abstract(1922) PDF(750)
Abstract:
Boundary conditions were derived to represent the continuity requirements at the boundaries of a porous solid saturated with viscous fluid.These were derived from the physically grounded principles with a mathematical check on the conservation of energy.The poroelastic solid is a dissipative one,for...
Improved Spatial Decay Bounds in the Plane Stokes Flow
J. C. Song
2009, 30(7): 777-782. doi: 10.3879/j.issn.1000-0887.2009.07.003
Abstract(1217) PDF(743)
Abstract:
Spatial decay bounds and a decay rate for the time-dependent Stokes flow of a viscous fluid was investigated in a semi-infinite channel.It is shown how to obtain a near optimal decay rate that is independent of the Reynolds number.It is also shown that a modification of the analysis given by Lin-Son...
A New Full Discrete Stabilized Viscosity Method for the Transient Navier-Stokes Equations
QIN Yan-mei, FENG Min-fu, ZHOU Tian-xiao
2009, 30(7): 783-798. doi: 10.3879/j.issn.1000-0887.2009.07.004
Abstract(1994) PDF(1057)
Abstract:
A new full discrete stabilized viscosity method for the transient Navier-Stokes equations with the high Reynolds number(small viscosity coefficient)was proposed based on pressure projection and extrapolated trapezoidal rule.The transient Navier-Stokes equations are fully-discretized by continuous eq...
Classification Using Least Squares Support Vector Machine for Reliability Analysis
GUO Zhi-wei, BAI Guang-chen
2009, 30(7): 799-810. doi: 10.3879/j.issn.1000-0887.2009.07.005
Abstract(1946) PDF(750)
Abstract:
In order to improve efficiency of support vector machine for classification on dealing with large amount of samples,least squares support vector machine for classification method was introduced into the reliability analysis,in which the solving of support vector machine was transformed from a quadra...
Blow-up Rate and Profile for a Class of Quasilinear Parabolic System
CHEN Yu-juan, ZHU Yue-ping
2009, 30(7): 811-820. doi: 10.3879/j.issn.1000-0887.2009.07.006
Abstract(1856) PDF(777)
Abstract:
The positive solutions to a class of nonlocal and degenerate quasilinear parabolic system with null Dirichlet boundary conditions are dealt with.The blow-up rate and blow-up profile were gained if the parameters and the initial data satisfy some conditions.
Statistical Damage Detection of Structures Based on Model Reduction
YIN Tao, LAM Heung-fai, ZHU Hong-ping
2009, 30(7): 821-832. doi: 10.3879/j.issn.1000-0887.2009.07.007
Abstract(3626) PDF(682)
Abstract:
A statistical damage detection method based on the finite element(FE)model reduction technique that utilizes measured modal data with a limited number of sensors is proposed.A deterministic damage detection process was formulated based on the model reduction technique,and then the probabilistic proc...
Study of Gas-Kinetic Numerical Schemes for One-and Two-Dimensional Inner Flows
LI Zhi-hui, BI Lin, TANG Zhi-gong
2009, 30(7): 833-846. doi: 10.3879/j.issn.1000-0887.2009.07.008
Abstract(1831) PDF(1009)
Abstract:
Several kinds of explicit and implicit finite-difference schemes directly solving the discretized velocity distribution functions were designed with different-order precision by analyzing the inner characteristic of the gas-kinetic numerical algorithm for Boltzmann model equation.The peculiar flow p...
Some Nonempty Intersection Theorems in Topological Spaces With Applications
FANG Min, HUANG Nan-jing
2009, 30(7): 847-855. doi: 10.3879/j.issn.1000-0887.2009.07.009
Abstract(1846) PDF(994)
Abstract:
The some new nonempty intersection theorems for generalized L-KKM mappings were established and some new fixed point theorems for set-valued mappings were proved under suitable conditions in topological spaces.As applications,an existence theorem for an equilibrium problem with lower and upper bound...
p-Moment Exponential Robust Stability for Stochastic Systems With Distributed Delays and Interval Parameters
SU Chun-hua, LIU Si-feng
2009, 30(7): 856-864. doi: 10.3879/j.issn.1000-0887.2009.07.010
Abstract(1575) PDF(1033)
Abstract:
The p-moment exponential robust stability for stochastic systems with distributed delays and interval parameters is studied.By constructing Liapunov-Krasovskii functional and employing the decomposition technique of interval matrix and using It's formula,the easily verified delay-dependent criteria ...
Strong Convergence Theorems for Relatively Nonexpansive Mappings and Inverse-Strongly-Monotone Mappings in a Banach Space
LIU Ying
2009, 30(7): 865-872. doi: 10.3879/j.issn.1000-0887.2009.07.011
Abstract(1734) PDF(774)
Abstract:
An iterative sequence is introduced for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space.Then it is shown that the sequence converges strongly to ...
On the Impulsive Perturbation and Bifurcation of Solutions for a Model of Chemostat With Variable Yield
ZHANG Hong, Paul Georgescu, Juan J. Nieto, CHEN Lan-sun
2009, 30(7): 873-882. doi: 10.3879/j.issn.1000-0887.2009.07.012
Abstract(1853) PDF(655)
Abstract:
A new model of a chemostat with variable yield and non-synchronous impulsive effect was proposed and investigated.It is observed that a set of threshold-like conditions guaranteeing the global stability of semi-trivial periodic solution,the permanence of the system and then a bifurcation of a nontri...