Wen, Juan Huang, Pengzhan He, Ya-Ling
Published in
Acta Mathematica Scientia
In this paper, we first propose a new stabilized finite element method for the Stokes eigenvalue problem. This new method is based on multiscale enrichment, and is derived from the Stokes eigenvalue problem itself. The convergence of this new stabilized method is proved and the optimal priori error estimates for the eigenfunctions and eigenvalues a...
Chen, Yong Liu, Ya Qin, Chuntao
Published in
Acta Mathematica Scientia
We prove the reducibility of analytic multipliers Mϕ with a class of finite Blaschke products symbol ϕ on the Sobolev disk algebra R(ⅅ). We also describe their nontrivial minimal reducing subspaces.
Zhang, Qixia
Published in
Acta Mathematica Scientia
This paper is concerned with a Pontryagin’s maximum principle for the stochastic optimal control problem with distributed delays given by integrals of not necessarily linear functions of state or control variables. By virtue of the duality method and the generalized anticipated backward stochastic differential equations, we establish a necessary ma...
Trinh, Viet Duoc
Published in
Acta Mathematica Scientia
In this paper we prove the existence and uniqueness of time global mild solutions to the Navier-Stokes-Oseen equations, which describes dynamics of incompressible viscous fluid flows passing a translating and rotating obstacle, in the solenoidal Lorentz space Lσ, w3. Besides, boundedness and polynomial stability of these solutions are also shown.
Wang, Guangqing Yang, Jie Chen, Wenyi
Published in
Acta Mathematica Scientia
Let Ta,ϕ be a Fourier integral operator defined by the oscillatory integral Taφu(x)=1(2π)n∫ℝneiφ(xξ)a(xξ)u^(ξ)dξ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${T_{a,\v...
Xu, Hongyan Kong, Yinying
Published in
Acta Mathematica Scientia
The first aim of this paper is to investigate the growth of the entire function defined by the Laplace-Stieltjes transform converges on the whole complex plane. By introducing the concept of generalized order, we obtain two equivalence theorems of Laplace-Stieltjes transforms related to the generalized order, An* and λn. The second purpose of this ...
Pan, Yali Xue, Qingying
Published in
Acta Mathematica Scientia
Let 0
Moussaoui, Abdelkrim Velin, Jean
Published in
Acta Mathematica Scientia
This article sets forth results on the existence and boundedness of solutions for quasilinear elliptic systems involving p-Laplacian and q-Laplacian operators. The approach combines Schaefer’s fixed point as well as Moser’s iteration procedure.
Liu, Wenjun Chen, Dongqin Chen, Zhijing
Published in
Acta Mathematica Scientia
This study addresses long-time behavior for a thermoelastic microbeam problem with time delay and the Coleman-Gurtin thermal law, the convolution kernel of which entails an extremely weak dissipation in the thermal law. By using the semigroup theory, we first establish the existence of global weak and strong solutions as well as their continuous de...
Wang, Xiaoyan Yang, Junyuan
Published in
Acta Mathematica Scientia
Foot-and-mouth disease is one of the major contagious zoonotic diseases in the world. It is caused by various species of the genus Aphthovirus of the family Picornavirus, and it always brings a large number of infections and heavy financial losses. The disease has become a major public health concern. In this paper, we propose a nonlocal foot-and-m...
