Table of Content

26 March 1981, Volume 1 Issue 1    Next Issue

For Selected:

View Abstracts

Download Citations EndNote Reference Manager ProCite BibTeX RefWorks

Toggle Thumbnails

Select

THE CRITICAL PARAMETER AND FLUX OF THE THREE-DIMENSIONAL TRANSPORT EQUATION Yang Mingzhu, Zhu Guangtian Acta mathematica scientia,Series A. 1981, 1 (1):  1-12.  Abstract ( 72 )   RICH HTML PDF (616KB) ( 48 )   Save In this paper we prove the existence of the critical parameter which has a unique non-negative eigen-function for 3-dimensional steady-state transport equation with isotropic scattering. We also give the convergence rate of iteration scheme in solving the linear transport equation. Related Articles | Metrics

Select

DOUBLY QUASI-PERIODIC RIEMANN BOUNDARY VALUE PROBLEMS Lu Jianke Acta mathematica scientia,Series A. 1981, 1 (1):  13-30.  Abstract ( 73 )   RICH HTML PDF (884KB) ( 41 )   Save By additive and multiplicative doubly quasi-periodic analytic functions we mean functions satisfying (1·1) and (1·2) respectively. In case they have only poles as singularities, we call them as quasi-elliptic functions. Similarly we may define sectionally holomorphic and doubly quasi-periodic functions. In this paper, we solve the corresponding doubly quasi-periodic Riemann boundary value problem(0·1) by reducing them to doubly periodic ones which were considered and solved in(2) and(3) both for closed contours and open arcs. Related Articles | Metrics

Select

NUMERICAL SOLUTIONS OF UNSTEADY TWO-DIMENSIONAL HYDRODYNAMICS OF SPIRAL NEBULA IN SELF-GRAVITATIONAL FIELD Liu Zunquan, Qin Yuanxun, Hu Wenrei Acta mathematica scientia,Series A. 1981, 1 (1):  31-42.  Abstract ( 71 )   RICH HTML PDF (573KB) ( 96 )   Save The unsteady two-dimensional equations of the hydrodynamics of the self-gravitational gaseous model have been calculated, using the local solutions of linear density waves as the initial conditions. The results show that there exists rapid nonlinear growth of galactic density waves and the peak value of the flucuating surface density is equivalent to the basic surface density, during the interval of about 5×107 years. The evolutional processes of the waves clearly exhibit nonlinear characteristics. Related Articles | Metrics

Select

ON Ю.А. РЯБОВ'S《СУЩЕСТВОВАНИЕ И ПОСТ-РОЕНИЕ УОСЛОВНО-ПЕРИОДИЧЕСКИХ РЕШЕНИЙ В НЕБЕСНОЙ МЕХАНИКЕ》 Ye Shuwu Acta mathematica scientia,Series A. 1981, 1 (1):  43-58.  Abstract ( 65 )   RICH HTML PDF (682KB) ( 45 )   Save ю.А. РЯБОВ's《Существование и Пост-роение Уословно-периодических Решений в Небесной Механике》) part Ⅱ of《Новые Качественые Методы в Небесной Механике》) gives us a good exposition of Kam's Theony. However,some mstakes are found,we correct them and pnore the folloning equalities. Related Articles | Metrics

Select

PSEUDOPOTENTIAL METHOD AND SOLITON SOLUTIONS OF KORTEWEG DEVRISE EQUATION SINE-GORDON AND NONINEAR SCHRODINGER EQUATION ON THE NONCASSICAL VARIATIONS FIELD Zhang Xue-Ming Acta mathematica scientia,Series A. 1981, 1 (1):  59-66.  Abstract ( 65 )   RICH HTML PDF (351KB) ( 192 )   Save 1. Galilean transformation (t'x')=(01 1-v)(+x) here (01 1-v). is called Galilean gauge. The corresponding differential operator transformation are as follows. Related Articles | Metrics

Select

MODEL EQUATION OF KINETIC THEORY AND RESEARCH ON SHOCK WAVE STRUCTURE Hang Shifang Acta mathematica scientia,Series A. 1981, 1 (1):  67-76.  Abstract ( 72 )   RICH HTML PDF (540KB) ( 61 )   Save The new model equation of kinetic theoy is suggested for nonequilibrium gas. In the present model equation a new collision term is suggested instead of Boltzmann collision term. Chapmann-Enskog method is used for solution of present model equation in the case of near-equilibrium condition. In the present paper the model equation is used for research on shock wave structure. The numerical solution is obtained by computer program with ALGOL-60 language. Results of calculation were found to be in agreement with that of the experiment. Related Articles | Metrics

Select

ON THE TOEPLITZ OPERATOR RELATED TO THE SCATTERING OPERATOR OF A SEMI-HYPONORMIAL OPERATOR Xia Daoxing Acta mathematica scientia,Series A. 1981, 1 (1):  77-82.  Abstract ( 58 )   RICH HTML PDF (268KB) ( 26 )   Save Let H be a complex separable Hilbert space, L(H) be the algebra of all linear bounded operators in H, and SHU be the set of all operators T-U|T|∈L(H) satisfying the following conditions:(ⅰ) the operator U∈L(H) is unitary and (ⅱ)|T|∈L(H), |T| ≥ U|T|U-1 ≥ 0. Related Articles | Metrics

Select

NUMERICAL INTEGRATION IN THE PRESENCE OF SINGULARITIES P. A. P. Moran Acta mathematica scientia,Series A. 1981, 1 (1):  83-85.  Abstract ( 55 )   RICH HTML PDF (151KB) ( 25 )   Save Numerical integration, on finite intervals, of functions with singularities at the ends of the interval is facilitated by making a transformation which is non-analytic at the ends, Various examples are considered and some numerical illustrations given. Related Articles | Metrics

Select

SOME REGULARITIES OF THE ATOMIC CHARGE OF SIMPLE MOLECULES BY HARTREE-FOCK SCF METHOD Chen Nianyi, Liu Honglin, Liao Muzhen, Wu Guoshi Acta mathematica scientia,Series A. 1981, 1 (1):  87-91.  Abstract ( 66 )   RICH HTML PDF (244KB) ( 24 )   Save The atomic net charges of various halide molecules were calculated by Hartree-Fock SCF method. The values calculated correlate well with the liquid phase ionic conductance and some other physical properties of simple halides. These regularities are similar to those found in the bond-parametric diagrams we previously reported. The partial covalency of flourides, which can be explained by the stronger π bond formation, cannot be weakened by the antibonding involving inner p orbitals. Related Articles | Metrics

Select

ON THE INTERIOR REGULARITIES OF THE SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS Luo Peizhu, Gu Yonggen, Fang Huizhong, Ding Xiaxi Acta mathematica scientia,Series A. 1981, 1 (1):  93-114.  Abstract ( 55 )   RICH HTML PDF (979KB) ( 118 )   Save In[1] we discussed the problems of calculus of variations with strong nonlinearity. Its Euler equation is evidently the following elliptic type equation of divergent form with strongly increasing coefficients, (da1(x,u,ux)/dxi)+a(a,u,ux)=0,x∈Ω⊂Rn. (1) We get the interior regularities of the solutions of(1). It is just the Hilbert's 19th problem in the case with strong nonlinearity. Related Articles | Metrics

Select

ON FUNDAMENTAL SOLUTIONS OF OPERATORS OF PRINCIPAL AND NONPRINCIPAL TYPES Chen Qingyi Acta mathematica scientia,Series A. 1981, 1 (1):  115-122.  Abstract ( 58 )   RICH HTML PDF (406KB) ( 49 )   Save Using integrals in complex space, more precisely, integrals similar to Hoermander's step integrals, in this paper we construct global fundamental solutions for some linear partial differential operators(l.p.d.o) with variable coefficients, including some operators of principal type and non-principal type with higher multiple characteristics. Related Articles | Metrics

Select

SOME TRANSFORMATION CONCEPTS ON MATHEMATICAL SCIENCES Lee Kwok-ping, Guo Youzhong Acta mathematica scientia,Series A. 1981, 1 (1):  123-132.  Abstract ( 60 )   RICH HTML PDF (501KB) ( 51 )   Save In this paper, following[1], we introduced certain concrete work of some transformation concepts in the branches of mathematical sciences. Related Articles | Metrics