POSITIVE SOLUTIONS AND BIFURCATION OF FULLY NONLINEAR ELLIPTIC EQUATIONS INVOLVING SUPER－CRITICAL SOBOLEV EXPONENTS

ＰＯＳＩＴＩＶＥＳＯＬＵＴＩＯＮＳＡＮＤＢＩＦＵＲＣＡＴＩＯＮＯＦＦＵＬＬＹＮＯＮＬＩＮＥＡＲＥＬＬＩＰＴＩＣＥＱＵＡＴＩＯＮＳＩＮＶＯＬＶＩＮＧＳＵＰＥＲ－ＣＲＩＴＩＣＡＬＳＯＢＯＬＥＶＥＸＰＯＮＥＮＴＳ￥ＱＵＣＨＡＮＧＺＨＥＮＧ（屈长征）（Ｉｎｓ...     

A COMPLETE METRIC OF POSITIVE CURVATURE ON R~n AND EXISTENCE OF CLOSED GEODESICS

ＡＣＯＭＰＬＥＴＥＭＥＴＲＩＣＯＦＰＯＳＩＴＩＶＥＣＵＲＶＡＴＵＲＥＯＮＲ~ｎＡＮＤＥＸＩＳＴＥＮＣＥＯＦＣＬＯＳＥＤＧＥＯＤＥＳＩＣＳ￥ＺＨＵＤＡＸＩＮ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＴｉａｎｊｉｎＵｎｉｖｅｒｓｉｔｙｌＴｉａｎｊ?..     

ADMISSIBILITY OF LINEAR ESTIMATE OF REGRESSION COEFFICIENTS IN GROWTH CURVE MODEL UNDER MATRIX LOSS

ＡＤＭＩＳＳＩＢＩＬＩＴＹＯＦＬＩＮＥＡＲＥＳＴＩＭＡＴＥＯＦＲＥＧＲＥＳＳＩＯＮＣＯＥＦＦＩＣＩＥＮＴＳＩＮＧＲＯＷＴＨＣＵＲＶＥＭＯＤＥＬＵＮＤＥＲＭＡＴＲＩＸＬＯＳＳＷＡＮＧＸＵＥＲＥＮ（王学仁）（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉｃｓ，...     

THE DISCRETE DYNAMICS FOR COMPETITIVE POPULATIONS OF LOTKA-VOLTERRA TYPE

ＴＨＥＤＩＳＣＲＥＴＥＤＹＮＡＭＩＣＳＦＯＲＣＯＭＰＥＴＩＴＩＶＥＰＯＰＵＬＡＴＩＯＮＳＯＦＬＯＴＫＡ－ＶＯＬＴＥＲＲＡＴＹＰＥＬＩＵＬＡＩＦＵＡＮＤＧＯＮＧＢＩＮＡｂｓｔｒａｃｔ：Ｔｈｅｄｉｓｃｒｅｔｅｄｙｎａｍｉｃｓｆｏｒｃｏｍｐｅｔｉｔｉｏｎｐ...     

STRONGLY ALGEBRAIC LATTICES AND CONDITIONS OF MINIMAL MAPPING PRESERVING INFS

ＳＴＲＯＮＧＬＹ ＡＬＧＥＢＲＡＩＣ ＬＡＴＴＩＣＥＳ ＡＮＤ ＣＯＮＤＩＴＩＯＮＳ ＯＦ ＭＩＮＩＭＡＬ ＭＡＰＰＩＮＧ ＰＲＥＳＥＲＶＩＮＧ ＩＮＦＳ ￥ＸＵＸＩＡＯＱＵＡＮＡｂｓｔｒａｃｔ：Ｔｈｅｔａｂｏｒｇｉｖｅｓｓｏｍｅｃｈａｒａｃｔｅｒｉ...     

LOCAL TOPOLOGICAL STRUCTURE OF THE PLANE CUBIC SYSTEM IN THE UNDETERMINED SIGN CASE

（李学敏）（杨殿武）ＬＯＣＡＬＴＯＰＯＬＯＧＩＣＡＬＳＴＲＵＣＴＵＲＥＯＦＴＨＥＰＬＡＮＥＣＵＢＩＣＳＹＳＴＥＭＩＮＴＨＥＵＮＤＥＴＥＲＭＩＮＥＤＳＩＧＮＣＡＳＥ￥ＬｉＸｕｅｍｉｎ；ＹａｎｇＤｉａｎｗｕ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ...     

SINGULAR INTEGRAL OPERATORS AND SINGULAR QUADRATURE OPERATORS ASSOCIATED WITH SINGULAR INTEGRAL EQUATIONS OF THE FIRST KIND AND THEIR APPLICATIONS

ＳＩＮＧＵＬＡＲＩＮＴＥＧＲＡＬＯＰＥＲＡＴＯＲＳＡＮＤＳＩＮＧＵＬＡＲＱＵＡＤＲＡＴＵＲＥＯＰＥＲＡＴＯＲＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨＳＩＮＧＵＬＡＲＩＮＴＥＧＲＡＬＥＱＵＡＴＩＯＮＳＯＦＴＨＥＦＩＲＳＴＫＩＮＤＡＮＤＴＨＥＩＲＡＰＰＬＩＣＡＴＩ...     

SHAPE PRESERVING PROPERTIES AND CONVERGENCE OF UNIVARIATE MULTIQUADRIC QUASI－INTERPOLATION

ＳＨＡＰＥＰＲＥＳＥＲＶＩＮＧＰＲＯＰＥＲＴＩＥＳＡＮＤＣＯＮＶＥＲＧＥＮＣＥＯＦＵＮＩＶＡＲＩＡＴＥＭＵＬＴＩＱＵＡＤＲＩＣＱＵＡＳＩ－ＩＮＴＥＲＰＯＬＡＴＩＯＮＷｕＺＯＮＧＭＩＮ（吴宗敏）（ＤｅｐｅｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｆｕｄａ...     

ASYMPTOTIC CANONICAL FORMS AND ITERATED LOGARITHM RATE RESULTS OF LEAST SQUARES ESTIMATES FOR UNSTABLE ARMA MODELS

ＡＳＹＭＰＴＯＴＩＣＣＡＮＯＮＩＣＡＬＦＯＲＭＳＡＮＤＩＴＥＲＡＴＥＤＬＯＧＡＲＩＴＨＭＲＡＴＥＲＥＳＵＬＴＳＯＦＬＥＡＳＴＳＱＵＡＲＥＳＥＳＴＩＭＡＴＥＳＦＯＲＵＮＳＴＡＢＬＥＡＲＭＡＭＯＤＥＬＳＺＨＡＮＧＨＵＭＩＮＧ（张虎明）（Ｄｅｐａｒｔｍｅｎ...     

SOME ASYMPTOTIC INFERENCE IN MULTINOMIAL NONLINEAR MODELS （A GEOMETRIC APPROACH）

ＳＯＭＥＡＳＹＭＰＴＯＴＩＣＩＮＦＥＲＥＮＣＥＩＮＭＵＬＴＩＮＯＭＩＡＬＮＯＮＬＩＮＥＡＲＭＯＤＥＬＳ（ＡＧＥＯＭＥＲＩＣＡＰＰＲＯＡＣＨ）￥ＷＥＩＢＯＣＨＥＮＧ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｏｕｔｈｅａｓｔＵｎｉｖｅｒｓｉｔｙ...     

Exact spin states and analytic formulas for nonequilibrium spin transport in a three-site one-dimensional system with interacting electrons

Theoretical and Mathematical Physics - We choose a typical three-site one-dimensional (1D) quantum chain system to deduce exact spin states and nonequilibrium spin transport properties...     

On the nonlinear stability and the existence of selective decay states of 3D quasi-geostrophic potential vorticity equation

In this article, we study the dynamics of large-scale motion in atmosphere and ocean governed by the 3D quasi-geostrophic potential vorticity (QGPV) equation with a constant stratification. It is shown that for a Kolmogorov forcing on the first energy shell, there exist a family of exact solutions that are dissipative Rossby waves. The nonlinear stability of these exact solutions are analyzed based on the assumptions on the growth rate of the forcing. In the absence of forcing, we show the existence of selective decay states for the 3D QGPV equation. The selective decay states are the 3D Rossby waves traveling horizontally at a constant speed. All these results can be regarded as the expansion of that of the 2D QGPV system and in the case of 3D QGPV system with isotropic viscosity. Finally, we present a geometric foundation for the model as a general equation for nonequilibrium reversible-irreversible coupling.     

Numerical solution of 2D and 3D backward facing step flows

The work deals with numerical modelling of flow through 2-dimensional (2D) and 3-dimensional (3D) backward facing step. In laminar case, we apply several higher order upwind and central discretizations and compare numerical results with measurements. The turbulent regime is considered in 2D as well as in 3D and influence of secondary flow is observed. Different modifications of low-Re two equation turbulence models and an explicit algebraic Reynolds stress model (EARSM) are considered. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Pseudoclassical Foldy-Wouthuysen transformation and canonical quantization of (D=2n)-dimensional relativistic particle with spin in an external electromagnetic field

The canonical quantization of a (D=2n)-dimensional Dirac particle with spin in an arbitrary external electromagnetic field is performed in a gauge that makes it possible to describe simultaneously particles and antiparticles (both massive and massiess) already at the classical level. A pseudoclassical Foldy-Wouthuysen transformation is used to find the canonical (Newton-Wigner) coordinates. The connection between this quantization scheme and Blount's picture describing the behavior of a Dirac particle in an external electromagnetic field is discussed.Erevan Physics Institute. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 102, No. 3, pp. 378–383, March, 1995.     

State models and asymptotic behaviour of 2D positive systems

Homogeneous 2D positive systems are 2D state-space models whosevariables are alwalys nonnegative and, consequently, are describedby a pair of nonnegative square matrices (A, B). In the paper,the properties of these pairs are discussed both in the generalcase and under particular assumptions like finite memory, separability,and property L. Various aspects of the positive asymptotic dynamic are considered;in particular, sufficient conditions are provided guaranteeingthat the local states are eventually strictly positive. Finally,some results on the convergence of the states towards a constantasymptotic distribution are presented.     

On asymptotic stability in energy space of ground states of NLS in 2D

We transpose work by K. Yajima and by T. Mizumachi to prove dispersive and smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödinger equation (NLS) in 2D. As an application we extend to dimension 2D a result on asymptotic stability of ground states of NLS proved in the literature for all dimensions different from 2.     

Composite schemes used for 2D and 3D transonic flows computation

This work deals with numerical solution of 3D inviscid transonic flows in a channel using finite volume form of composite scheme. The combination of less dissipative Lax‐Wendroffs cheme and more dissipative Lax‐Friedrichs scheme is used in cell‐vertex form and basic 3D five sides finite volume. Some 3D results of transonic flows in a channel that is an extension of 2D GAMM channel with a) a changed bump in z‐direction b) not changed bump but with swept wing geometry are presented in the article.     

Global well-posedness for the 2D incompressible magneto-micropolar fluid system with partial viscosity

In this paper, we consider an initial-boundary value problem for the 2D incompressible magnetomicropolar fluid equations with zero magnetic diffusion and zero spin viscosity in the horizontally infinite flat layer with Navier-type boundary conditions. We establish the global well-posedness of strong solutions around the equilibrium(0, e_1, 0).     

On asymptotic stability in energy space of ground states of NLS in 1D

We transpose work by T. Mizumachi to prove smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödinger equation (NLS) in 1D. As an application we extend to dimension 1D a result on asymptotic stability of ground states of NLS proved by Cuccagna and Mizumachi for dimensions ?3.