Hou, Jinchuan Zhao, Haili
Published in
Acta Mathematica Scientia

A property (C) for permutation pairs is introduced. It is shown that if a pair {π1, π2} of permutations of (1, 2, · · ·, n) has property (C), then the D-type map Φπ1,π2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \set...

Xu, Lanxi Li, Ziyi
Published in
Acta Mathematica Scientia

Nonlinear stability of the motionless double-diffusive solution of the problem of an infinite horizontal fluid layer saturated porous medium is studied. The layer is heated and salted from below. By introducing two balance fields and through defining new energy functionals it is proved that for CLe ≥ R, Le ≤ 1 the motionless double-diffusive soluti...

He, Lianhua Tan, Zhong
Published in
Acta Mathematica Scientia

In this article, we consider the partial regularity of stationary Navier-Stokes system under the natural growth condition. Applying the method of A-harmonic approximation, we obtain some results about the partial regularity and establish the optimal Hölder exponent for the derivative of a weak solution on its regular set.

Wang, Zejun Zhang, Qi
Published in
Acta Mathematica Scientia

In this paper, we use Lax-Oleinik formula to study the asymptotic behavior for the initial problem of scalar conservation law ut + F(u)x = 0. First, we prove a simple but useful property of Lax-Oleinik formula (Lemma 2.7). In fact, denote the Legendre transform of F(u) as L(σ), then we can prove that the quantity F(q)−qF′(q)+ L(F′(q)) is a constant...

Liu, Chungen Zhang, Xiaofei
Published in
Acta Mathematica Scientia

Using the dual Morse index theory, we study the stability of subharmonic solutions of first-order autonomous Hamiltonian systems with anisotropic growth, that is, we obtain a sequence of elliptic subharmonic solutions (that is, all its Floquet multipliers lying on the unit circle on the complex plane C).

Pan, Jie Fang, Li Guo, Zhenhua
Published in
Acta Mathematica Scientia

This paper investigates the large-time behavior of solutions to an outflow problem for a compressible non-Newtonian fluid in a half space. The main concern is to analyze the phenomena that happens when the compressible non-Newtonian fluid blows out through the boundary. Based on the existence of the stationary solution, it is proved that there exis...

Zhang, Wenjuan Fei, Jie Jiao, Xiaoxiang
Published in
Acta Mathematica Scientia

In this article, we determine all homogeneous two-spheres in the complex Grassmann manifold G(2, 5;C) by theory of unitary representations of the 3-dimensional special unitary group SU(2).

ZHANG, Ling ZUO, Dafeng
Published in
Acta Mathematica Scientia

In this article, we will show that the super-bihamiltonian structures of the Kuper-KdV equation in [3], the Kuper-CH equation in [17, 18] and the super-HS equation in [11, 16,19] can be obtained by applying a super-bihamiltonian reduction of different super-Poisson pairs defined on the loop algebra of osp(1|2).

GAO, Zhiqiang LIU, Quansheng WANG, Hesong
Published in
Acta Mathematica Scientia

We consider a branching random walk with a random environment in time, in which the offspring distribution of a particle of generation n and the distribution of the displacements of its children depend on an environment indexed by the time n. The environment is supposed to be independent and identically distributed. For A ℝ, let Zn(A) be the number...

YANG, Jie WANG, Yuzhao CHEN, Wenyi
Published in
Acta Mathematica Scientia

It is well known that the commutator Tb of the Calderón-Zygmund singular integral operator is bounded on Lp(Rn) for 1