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25 June 1992, Volume 12 Issue 2 Previous Issue    Next Issue

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A VARIATIONAL METHOD FOR RESEARCH ON AN UNSTEADY TUBE FLOW OF UPPER CONVECTED MAXWELL FLUID Han Shifang Acta mathematica scientia,Series B. 1992, 12 (2):  121-129.  Abstract ( 39 )   RICH HTML PDF (465KB) ( 29 )   Save Related Articles | Metrics

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A LIMITING VISCOSITY APPROACH TO THE RIEMANN PROBLEM FOR TRANSONIC FLOW Hu Jiaxin Acta mathematica scientia,Series B. 1992, 12 (2):  130-138.  Abstract ( 42 )   RICH HTML PDF (513KB) ( 33 )   Save In this paper we have obtained the existence of weak solutions of the small disturbance equations of steady two-dimension flow vt-ux=0 ut-(cv2)x=0,(x,t)∈RxR+,with Riemann date (v(x,0),u(x,0)=(v-,u-),x<0 (v+,u+),x>0 where v+ ≥ 0, v- ≥ 0 and u- ≤ u+ by introducing "artificial" viscosity terms and employing Helley's theorem. The setting under our consideration is a nonstrictly hyperbolic system. Our analysis in this article is quite fundamental. Related Articles | Metrics

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AN ALGORITHM OF UNCONSTRAINED MINIMIZATION WITHOUT DERIVATIVE AND ITS CONVERGENCE Lai Lan Acta mathematica scientia,Series B. 1992, 12 (2):  139-143.  Abstract ( 45 )   RICH HTML PDF (312KB) ( 39 )   Save In[1] the unconstrained minimization problem was considered and presented an algorithm without derivative. But the terminative conditions and convergence proof of the algorithm were not given. In this paper, we present a revised algorithm and prove its convergence. Related Articles | Metrics

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A THEORETICAL APPROACH TO THERMAL PROPERTY OF ARRAY OF CYLINDERS EMBEDDED IN HOMOGENEOUS MATRIX Gu Guoqing, Zheng Dafang Acta mathematica scientia,Series B. 1992, 12 (2):  144-153.  Abstract ( 50 )   RICH HTML PDF (594KB) ( 30 )   Save We investigate in this article the thermal conductivity of array of cylinders embedded in a homogeneous matrix. Using Green's function, we confirm that the method invented by Rayleigh can be generalized to deal with thermal property of these systems. A technique for calculating effective thermal conductivities of these systems is proposed. As an example, we consider a system with square symmetry, and a neat formula for effective thermal conductivity is derived. We show that the method also includes the proof of Keller theorem. Related Articles | Metrics

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A MINIMIZATION PROBLEM ON EXTERIOR DOMAIN Yan Shusen, Zhang Zhengjie Acta mathematica scientia,Series B. 1992, 12 (2):  154-162.  Abstract ( 56 )   RICH HTML PDF (453KB) ( 27 )   Save In this paper, using the decay estimates for the solution of semilinear elliptic equation, we obtain the existence of a minimun for a minimization problem with nonzero data in the exterior domain. Related Articles | Metrics

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BANACH SPACE VALUED QUASI-EVENTUAL MARTINGALES Gan Shixin Acta mathematica scientia,Series B. 1992, 12 (2):  163-170.  Abstract ( 35 )   RICH HTML PDF (434KB) ( 31 )   Save This article investigates convergence, transforms and q-square summability of banach space valued quasi-eventual martingales. Some basic results of Banach space valued martingales are improved and extended. Related Articles | Metrics

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PERIODIC SOLUTIONS FOR HAMILTONIANSYSTEMS IN A NONCONVEX POTENTIAL WELL Li Shujie Acta mathematica scientia,Series B. 1992, 12 (2):  171-178.  Abstract ( 32 )   RICH HTML PDF (505KB) ( 31 )   Save Related Articles | Metrics

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A STUDY OF ELECTROMAGNETIC SCATTERING FROM A DIELECTRIC-COATED CONDUCTING CYLINDER Ke Hengyu, Huang Siwen, Li Wenjun Acta mathematica scientia,Series B. 1992, 12 (2):  179-189.  Abstract ( 45 )   RICH HTML PDF (645KB) ( 34 )   Save In order to solve the problem of electromagnetic, scattering by a dielectric-coated conducting circular cylinder, the total field excited by an electric and amagnetic dipoles exterior to the cylinder is derived in terms of dyadic Green's function (DGF) technique. Then, the scattering problem can ko solved on basis of the relation between the total and the scattered, field. The solution of the scattorod field can be obtained directly from the general formula of the scattered field as the cylinder is illuminated by a spherical wave. For a plane wave of arbitrary polarization incident to the cylinder from the direction (θ0, φ0), the scattered field can be given by the solution of the scattered field with a spherical wave incident as the center of the spherical wave moves to infinity, For an astigmatic wave incident to the cylinder, the scattered field can be derived by suporposing or integrating of the scattered field with the special spherical wave incident. Related Articles | Metrics

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PIECEWISE SMOOTH SOLUTION OF THE FIRST ORDER SEMILINEAR HYPERBOLIC SYSTEMS IN HIGHER SPACE DIMENSION Jin Shuze Acta mathematica scientia,Series B. 1992, 12 (2):  190-202.  Abstract ( 53 )   RICH HTML PDF (751KB) ( 29 )   Save Related Articles | Metrics

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CALCULATIONS OF BIVARIATE SPLINES Ⅰ. Truncated Powers and BM-Splines in S21, △2 and S42,△2 Lian Jian'ao, Cheng Zhengxing Acta mathematica scientia,Series B. 1992, 12 (2):  203-214.  Abstract ( 42 )   RICH HTML PDF (715KB) ( 30 )   Save Determining the lowest degree, dimensions and basis functions of btp (bivariate truncated power(s)) spaces with given smoothness requirements and establishing the calculation formulae of btp on a three-and four-direction mesh, we give the necessary and sufficient condition for the existence of the bivariate BM-spline in S42,△2 and the bivariate BM-spline in S21, △2, in terms of linear combinations of btp. The so-called "revolving around" technique is mentioned. Related Articles | Metrics

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CALCULATIONS OF BIVARIATE SPLINES Ⅱ. BM-Splines in Sk, △2p, S3,△21 and S4,△22 Lian Jian'ao, Cheng Zhengxing Acta mathematica scientia,Series B. 1992, 12 (2):  215-229.  Abstract ( 53 )   RICH HTML PDF (760KB) ( 27 )   Save Examining the B-coefficient relations between two adjacent s-simplicies with given smoothness requirements, we find a compromise technique between btp-coefficients and B-coefficients to calculate a bivariate locally supported spline, give another proof of the BM-splines in S1∞(4d, 3d-1, △2) and establish the BM-splines in S31, and S4,△2. Related Articles | Metrics

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CONVERGENCE OF THE VISCOSITY METHOD FOR A NONSTRICTLY HYPERBOLIC SYSTEM Lu Yunguang Acta mathematica scientia,Series B. 1992, 12 (2):  230-239.  Abstract ( 51 )   RICH HTML PDF (550KB) ( 32 )   Save A convergence theorem for the method of artificial viscosity applied to the nonstrictly hyperbolie system ut+(1)/2(3u2+v2)x=0, vt+(uv)x=0 is established. Convergence of a subsequence in the strong topology is proved without uniform estimates on the derivatives using the theory of compensated compactness and an analysis of progressing entropy waves. Related Articles | Metrics