Fan, Qingzhai Fang, Xiaochun Zhao, Xia
Published in
Acta Mathematica Scientia

Let A be an infinite dimensional stably finite unital simple separable C*-algebra. Let B ⊂ A be a stably (centrally) large subalgebra in A such that B is m-almost divisible (m-almost divisible, weakly (m, n)-divisible). Then A is 2(m + 1)-almost divisible (weakly m-almost divisible, secondly weakly (m, n)-divisible).

Xia, Ke Wang, Xianjia
Published in
Acta Mathematica Scientia

This article explores the characteristics of the average abundance function with mutation on the basis of the multi-player snowdrift evolutionary game model by analytical analysis and numerical simulation. The specific field of this research concerns the approximate expressions of the average abundance function with mutation on the basis of differe...

Trifunović, Srđan Wang, Yaguang
Published in
Acta Mathematica Scientia

In this paper we deal with a nonlinear interaction problem between an incompressible viscous fluid and a nonlinear thermoelastic plate. The nonlinearity in the plate equation corresponds to nonlinear elastic force in various physically relevant semilinear and quasilinear plate models. We prove the existence of a weak solution for this problem by co...

Liu, Mingsheng Luo, Lifang
Published in
Acta Mathematica Scientia

The aim of this article is twofold. One aim is to establish the precise forms of Landau-Bloch type theorems for certain polyharmonic mappings in the unit disk by applying a geometric method. The other is to obtain the precise values of Bloch constants for certain log-p-harmonic mappings. These results improve upon the corresponding results given in...

Abidin, Muhammad Zainul Chen, Jiecheng
Published in
Acta Mathematica Scientia

In this paper we study the Cauchy problem of the incompressible fractional Navier-Stokes equations in critical variable exponent Fourier-Besov-Morrey space ℱN˙p(⋅),h(⋅),qs(⋅)(ℝ3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upg...

Fan, Jishan Li, Fucai Nakamura, Gen
Published in
Acta Mathematica Scientia

In this paper we prove the local well-posedness of strong solutions to a chemotaxis-shallow water system with initial vacuum in a bounded domain Ω ų ℝ2 without the standard compatibility condition for the initial data. This improves some results obtained in [J. Differential Equations 261(2016), 6758–6789].

Li, Banghe
Published in
Acta Mathematica Scientia

Hilbert Problem 15 required an understanding of Schubert’s book [1], both its methods and its results. In this paper, following his idea, we prove that the formulas in §6, §7, §10, about the incidence of points, lines and planes, are all correct. As an application, we prove formulas 8 and 9 in §12, which are frequently used in his book.

Dong, Jianwei Yuen, Manwai
Published in
Acta Mathematica Scientia

In this article, we are concerned with analytical solutions for a model of inviscid liquid-gas two-phase flow. On the basis of Yuen’s works [25, 27–29] on self-similar solutions for compressible Euler equations, we present some special self-similar solutions for a model of inviscid liquid-gas two-phase flow in radial symmetry with and without rotat...

Huang, Huamei Gao, Yujing Zhang, Huiming Li, Bo
Published in
Acta Mathematica Scientia

For high-dimensional models with a focus on classification performance, the ℓ1-penalized logistic regression is becoming important and popular. However, the Lasso estimates could be problematic when penalties of different coefficients are all the same and not related to the data. We propose two types of weighted Lasso estimates, depending upon cova...

Zhang, Pingping Zeng, Yingying
Published in
Acta Mathematica Scientia

Most results on the polynomial-like iterative equation are given under the condition that the given function is monotone, while a work by L. Liu and X. Gong gets non-monotone PM solutions with height 1 when the given function is of the same case. Removing the condition on height for the given function, we first give a method to assert the nonexiste...