Bllow-up Estimtesfor a Non-Newton Filtration Equation

The purpose of this paper is to derive an upper bound for the rate of blow- up of solutions to the Non- Newton filtrationequationut=div( | Du| p - 2 Du) + um - up - 1 ( 1)orut=div( | Du| p- 2 Du) + um ( 1)′where u 0 ,p >1.The blow up rate estim ates of positive radial solutions were established by Weissler in [1]for the ( 1)′withp=2 .In this paper,we get sam e result for the ( 1) or ( 1)′with p>1.Then,it extent and complment result in [1].L et B(ρ) denote the open ball in Rnof radius…     

The Existence of Positive Bounded Entire Solutions of Second Order Quasilinear Elliptic Equations

In this paper we are concerned with the existence of positive entire solutions of second order quasilinear elliptic equations of the type div(|Du|p-2Du)+f(x,u)=0, x∈RN, (1) where f(x, u) is a continuous function on RN×(0,∞). This problem appears in the study of non-Newtonian fluids and non-Newtonian filtration. The quantity p is a characteristic of the madium. Media with p>2 are called dilatant fluids and those with p<2 are called pseudoplastics. If p=2, they are Newtonian fluid. In the present paper we give new sufficient conditions which ensure the existence of positive entire solutions of (1).When p=2, the related results have been obtained by [1,2]. Our theorem for existence complement and extent to the results by [1,2].     

Large Time Behavior of Solutions to the Generalized Hall-Magnetohydrodynamics System

In this paper, we investigate the large time behavior of solutions to the three dimensional generalized Hall-magnetohydrodynamics(Hall-MHD) system in the spaces χ~s(R~3).We obtain that the temporal decay rate is ■ with 1/2≤α, β≤1 for the small global solution by using Fourier splitting method. The parameters α and β are the fractional dissipations corresponding to the velocity and magnetic field, respectively.     

Gas-solid reduction kinetic model of MgO-fluxed pellets

The reduction process of MgO-fluxed pellets was investigated and compared with traditional acidic pellets in this paper. Based on the piston flow concept and experimental data, a kinetic model fitting for the gas-solid phase reduction of pellets in tubular reactors (blast furnace, BF) was built up, and the equations of reduction reaction rate were given for pellets. A series of reduction experiments of pellets were carried out to verify the model. As a result, the experimental data and calculated result were fitted well. Therefore, this model can well describe the gas-solid phase reduction process and calculate the reduction reaction rate of pellets. Besides, it can give a better explanation that the reduction reaction rate (reducibility) of MgO-fluxed pellets is better than that of traditional acidic pellets in BF.     

A cooperative fast annealing coevolutionary algorithm for protein motif extraction

By integrating the cooperative approach with the fast annealing coevolutionary algorithm (FAEA), a so-called cooperative fast annealing coevolutionary algorithm (CFACA) is presented in this paper for the purpose of solving high-dimensional problems. After the partition of the search space in CFACA, each smaller one is then searched by a separate FAEA. The fitness function is evaluated by combining sub-solutions found by each of the FAEAs. It demonstrates that the CFACA outperforms the FAEA in the domain of function optimization, especially in terms of convergence rate. The current algorithm is also applied to a real optimization problem of protein motif extraction. And a satisfactory result has been obtained with the accuracy of prediction achieving 67.0%, which is in agreement with the result in the PROSITE database.     

Asymptotic behavior of solutions for the one-dimensional drift-diffusion model in the quarter plane

In this paper, we study the classical drift-diffusion model arising from the semiconductor device simulation, which is the simplest macroscopic model describing the dynamics of the electron and the hole. We prove the global existence of strong solutions for the initial boundary value problem in the quarter plane. In particular, we show that in large time, these solutions tend to the nonlinear diffusion wave which is different from the steady state, at an algebraic time-decay rate. As far as we know, this is the first result about the nonlinear diffusion wave phenomena of the solutions for the one-dimensional drift-diffusion model in the quarter plane.     

Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate

The analytical solutions of unsteady heat conduction with variable thermal properties(thermal conductivity,density and specific heat are functions of temperature or coordinates)are meaningful in theory.In addition,they are very useful to the computational heat conduction to check the numerical solutions and to develop numerical schemes,grid generation methods and so forth.Such solutions in rectangular coordinates have been derived by the authors.Some other solutions for 1-D and 2-D axisymmetrical heat conduction in cylin drical coordinates are given in this paper to promote the heat conduction theory and to develop the relative computational heat conduction.     

Mobile-Customer Identity Recognition

By utilizing artificial intelligence and pattern rec ognition techniques, we propose an integrated mobile-customer identity recognition approach in this paper, based on cus tomer＇s behavior characteristics extracted from the customer information database. To verify the effectiveness of this approach, a test has been run on the dataset consisting of 1 000 customers in 3 consecutive months.The result is compared with the real dataset in the fourth month consisting of 162 customers, which has been set as the customers for recognition. The high correct rate of the test （96.30%）, together with 1. 87% of the judge-by-mistake rate and 7.82% of the leaving-out rate, demonstrates the effectiveness of this approach.     

Nontrivial Homoclinic Solutions for Second-Order p-Laplacian Differential System with Impulsive Effects

The existence of homoclinic solutions for the second-order p-Laplacian differential system( ρ( t) Φp( u'( t))) '-s( t) Φp( u( t))+ λf( t,u( t)) = 0 with impulsive effects Δ( ρ( tj) Φp( u'( tj))) = Ij( u( tj)) is studied. By using three critical points theorem and variational methods, the sufficient condition is established to guarantee that this p-Laplacian differential system with impulsive effects has at least one nontrivial homoclinic solution. Besides,an example is presented to illustrate the main result in the end of this paper.     

非线性Dirichlet边值问题的两正解存在性

基于Leray-Schauder度理论和上下解方法讨论非线性边值问题y″+f(y)=0,y(0)=0,y(1)=b＞0的正解存在性,其中f是局部Lipschitz连续函数f(0)≥0,并且可以是变号函数.主要结论是如果f在＋∞满足一个超线性增长条件,并且存在满足条件β(1)＞0的非负上解β,则存在正数B使得此边值问题当b＜B时,至少存在两个正解;当b=B时,至少存在一个正解;当b＞B时,不存在正解.     

障碍问题中的梯度的局部可积性

推导二阶退化椭圆偏微分方程divA(x,▽u(x))=0的障碍问题的解的微商的局部可积性,此二阶退化椭圆方程需满足A(x,ξ)·ξ≥α | ξ| p,| A(x,ξ)|≤β(| ξ|+k(x))p-1,p＞1.     

一类带有慢衰减初值的双重退化抛物方程的解的生命跨度(英文)

研究了一类带有强非线性源的双重退化抛物方程ut=div(|▽um|p-2▽ul)+uq,(x,t)∈RN×(0,T),其中,N≥1,p>2,m,l,q>1的Cauchy问题的正解的性质.利用能量和上下解方法,得到了爆破解的生命跨度的上下界估计.     

一类半线性方程孤波解的存在性

本文将文[1]中的结果进行推广,讨论了方程的孤波解的存在性问题,并得到了相应的结果。     

二阶边值问题的解

摘要：利用Lery—Schauder不动点定理讨论了当m是一切自然数，G是一般的增算子时二阶边值问题（（G（y））’＋p（t）y^m）’＋q（t）f（t，y）=p’y^m，0〈t〈1，y（0）=0，y（1）=b0〉0解的存在性．     

一类二阶微分方程解的振荡性,有界性和单调性

本文阐述了以下二阶拟线性微分方程的解的振荡性，有界性和单调性的一些新结果。(p(t)(y’(t))α)’=q(t)yβ(t) r(t)，t≥tο其中，tο是非负实数，当t≥tο时，p(t)是连续的正实函数，r(t)是连续的实函数，q(t)是非负的连续的实函数且q(t)≠0，α和β都是正奇整数的商数。     

非线性高阶Kirchhoff型方程解的渐近性

本文考虑有界区域上弱耗散非线性高阶Kirchhoff型方程un+(∫Ω∣Dmu∣2dx)q(-△)mu+βut+g(u)=0 x∈Ω,t＞0这里m＞1为正整数,q＞0为正常数.研究了该方程在Eo=Hm(Ω)×H(Ω)中解的渐近性态,证明了该方程的解是渐近稳定的.     

合作型椭圆方程组大解的存在唯一性和渐近行为

本文研究合作型椭圆方程组△u=a(x)u~pv~q,△v=b(x)u~rv~s,x∈Ω边界爆破解的存在性、唯一性及渐近行为,其中p+g1,s+r1,q,r0,Ω(?)R~N为有界光滑区域,权函数a(x),b(x)在边界的不同点处以不同速度消失.在生物学上该系统表示两物种是合作型模型.本文运用上下解方法和局部化原理证明大解的性质.     

一类非线性斯图谟—刘维尔问题正解的存在性

本文讨论了非线性斯图谟-刘维尔方程[p(x)u'(x)]'+f[u(x)]=0在两端固定边条件下的边值问题,当p(x)是区间[0,1]上的分段线性函数时,其正解存在。