Ke, Xueli Yuan, Baoquan Xiao, Yaomin
Published in
Acta Mathematica Scientia

This paper is concerned with a stability problem on perturbations near a physically important steady state solution of the 3D MHD system. We obtain three major results. The first assesses the existence of global solutions with small initial data. Second, we derive the temporal decay estimate of the solution in the L2-norm, where to prove the result...

Zhou, Jianfeng Tan, Zhong
Published in
Acta Mathematica Scientia

We study the regularity of weak solutions to a class of second order parabolic system under only the assumption of continuous coefficients. We prove that the weak solution u to such system is locally Hölder continuous with any exponent α ∈ (0, 1) outside a singular set with zero parabolic measure. In particular, we prove that the regularity point i...

Gao, Junpei Cui, Haibo
Published in
Acta Mathematica Scientia

We investigate the asymptotic behavior of solutions to the initial boundary value problem for the micropolar fluid model in a half line ℝ+ ≔ (0, ∞). Inspired by the relationship between a micropolar fluid model and Navier-Stokes equations, we prove that the composite wave consisting of the transonic boundary layer solution, the 1-rarefaction wave, ...

Özarslan, Mehmet Ali Yilmaz Yaşar, Banu
Published in
Acta Mathematica Scientia

In this paper, we introduce the Δh-Gould-Hopper Appell polynomials An(xyh)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathcal A}_n}(x,y;h)$$\end{document} via h-...

Chen, Hao Yang, Jinyu Liu, Min-Qian
Published in
Acta Mathematica Scientia

In this paper, we propose a new method, called the level-collapsing method, to construct branching Latin hypercube designs (BLHDs). The obtained design has a sliced structure in the third part, that is, the part for the shared factors, which is desirable for the qualitative branching factors. The construction method is easy to implement, and (near)...

Li, Dan Li, Junfeng Xiao, Jie
Published in
Acta Mathematica Scientia

Given n ≥ 2 and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha > \tfrac{1}{2}$$\end{document}, we obtained an improved upbound of Hausdorff’s dimension of the f...

Liu, Yongjian Migórski, Stanisław Nguyen, Van Thien Zeng, Shengda
Published in
Acta Mathematica Scientia

The goal of this paper is to study a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by a combination of the Signorini unilateral frictionless contact condition, and nonmonotone multivalued contact, and friction laws of subdifferential form. First, under suitable assumpt...

Nyamoradi, Nemat Razani, Abdolrahman
Published in
Acta Mathematica Scientia

In this paper, we consider the following new Kirchhoff-type equations involving the fractional p-Laplacian and Hardy-Littlewood-Sobolev critical nonlinearity: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\o...

Le, Phuong
Published in
Acta Mathematica Scientia

Let 0 0 for all s, t ≥ 0. The main technique we use is the method of moving spheres in integral forms. Since our assumptions are more general than those in the previous literature, some new ideas are introduced to overcome this difficulty.

Wang, Qin Song, Kyungwoo
Published in
Acta Mathematica Scientia

We are concerned with the shock diffraction configuration for isothermal gas modeled by the conservation laws of nonlinear wave system. We reformulate the shock diffraction problem into a linear degenerate elliptic equation in a fixed bounded domain. The degeneracy is of Keldysh type—the derivative of a solution blows up at the boundary. We establi...