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国家自然科学基金(19831060): 作品数：13被引量：19H指数：3; 导出分析报告; 相关作者：王明新李慧玲李勇石佩虎尹景学更多>>; 相关机构：东南大学徐州师范大学吉林大学天津职业技术师范大学更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《数学年刊（A辑）》更多>>; 相关主题：BLOW-UPEQUATIONSCOUPLED有限时刻爆破一致爆破模式更多>>; 相关领域：理学更多>>

一般等熵气流之弱熵公式: 《华中师范大学学报（自然科学版）》2005年第4期440-443,共4页丁夏畦罗佩珠; 国家自然科学基金重点资助项目(19831060); 研究具有一般压力p(ρ)的等熵流的弱熵表达式.用经典的R iem ann方法求出其弱熵核的形式.; 关键词：弱熵 Riemann方法等熵流 Euler—Poisson方程

Global Solutions for a Strongly-coupled Parabolic System with Initial Boundary Values被引量：2: 《Chinese Quarterly Journal of Mathematics》2005年第1期90-100,共11页XUZhi-fen CHENBin; Supported by the NSFC(19831060); In this paper, we consider a strongly-coupled parabolic system with initial boundary values. Under the appropriate conditions, using Gagliard-Nirenberg inequality, Poincare inequality, Gronwall inequality and imbeddin...; 关键词：parabolic equations strongly-coupled initial boundary values global solutions

一类弱阻尼双曲方程组的爆破临界指数: 《天津职业技术师范学院学报》2004年第3期45-47,49,共4页孙福芹吴爱弟; 国家自然科学基金资助项目 (1 9831 0 60 ); 研究弱阻尼双曲方程组的Cauchy问题。利用试验函数方法 ,给出了问题的爆破临界指数。; 关键词：Fujita指数有限时刻爆破试验函数方法弱阻尼波动方程组

带有非线性局部化反应源项的抛物型方程组解的一致爆破模式与边界层被引量：3: 《中国科学（A辑）》2004年第5期537-548,共12页王明新李慧玲; 国家自然科学基金(批准号:19831060);江苏省"333"工程资助项目; 考虑带有齐次Dirichlet边界条件,反应项为非线性局部化源项的半线性抛物型方程组解的爆破性质.首先给出了该问题的古典解在有限时刻爆破的充分条件,以及解的两个分量同时爆破的必要条件和一个充分条件,然后得到了解的内部一致爆破模式,...; 关键词：非线性局部化反应源项抛物型方程组解边界层估计爆破模式

Self-similar solutions of quasilinear parabolic equations with nonlinear gradient terms: 《Science China Mathematics》2004年第5期659-674,共16页SHI Peihu & WANG MingxinDepartment of Mathematics, Southeast University, Nanjing 210018, China Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China; This work was supported by the National Natural Science Foundation of China(Grant No.19831060);the"333"Project of Jiangsu Province.; This paper is devoted to study the classification of self-similar solutions to the quasilinear parabolic equations with nonlinear gradient termsu t = Δ(u m) - uq∣Δu∣ p withm ≥ 1,p,q > 0 andp +q >m. Form = 1, it i...; 关键词：QUASILINEAR PARABOLIC equations SELF-SIMILAR solutions very SINGULAR solution classification.

带非线性梯度的拟线性抛物型方程的自相似解被引量：1: 《中国科学（A辑）》2004年第4期392-406,共15页石佩虎王明新; 国家自然科学基金(批准号:19831060);江苏哲"333"工程基金资助项目; 研究带有非线性梯度项的拟线性抛物型方程ut=△(um)-uq|△u|p的自相似解及其分类,其中m≥1,p,q>0,p+q>m.对m=1的情形,证明了nq+(n+1)p1的情形,证明了1; 关键词：拟线性抛物型方程自相似解强奇性解分类非线性梯度

NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL被引量：4: 《Chinese Annals of Mathematics,Series B》2004年第2期243-254,共12页CHENWENYAN WANGMINGXIN; Project supported by the National Natural Science Foundation of China (No.19831060) ;the 333 Project of Jiangsu Province of China.; In this paper, the authors deal with the non-constant positive steady-states of a predator-prey-mutualist model with homogeneous Neumann boundary condition. They first give a priori estimates (positive upper and lower...; 关键词：Predator-prey-mutualist model Non-constant positive steady-states BIFURCATION A priori estimates

Positive Steady States of a Competitor-Competitor-Mutualist Model: 《Acta Mathematicae Applicatae Sinica》2004年第1期53-57,共5页Wen-yanChen Ming-xinWang; Supported by the National Natural Science Foundation of China (No.19831060);the"333"Project of JiangSu Province; In this paper we deal with the positive steady states of a Competitor-Competitor-Mutualist modelwith diffusion and homogeneous Dirichlet boundary conditions.We first give the necessary conditions,and thenestablish the...; 关键词：Positive steady states Competitor-Competitor-Mutualist model

The blow-up rates for systems of heat equations with nonlinear boundary conditions被引量：3: 《Science China Mathematics》2003年第2期169-175,共7页王明新; This work was supported by the National Natural Science Foundation of China (Grant No. 19831060) and "333" Project of Jiangsu Province.; This paper deals with the blow-up rate estimates of positive solutions for systems of heat equationswith nonlinear boundary conditions. The upper and lower bounds of blow-up rate are obtained.; 关键词：heat equations nonlinear BOUNDARY conditions BLOW-UP rate UPPER and LOWER bounds.

带有非线性边界条件的热方程组的爆破速率被引量：2: 《中国科学（A辑）》2002年第7期577-582,共6页王明新; 国家自然科学基金(批准号:19831060);江苏省"333"工程资助项目; 研究带有非线性边界条件的热方程组爆破解的爆破速率,给出爆破速率的上、下界估计.; 关键词：热方程组非线性边界条件爆破速率下界估计上界估计爆破解

国家自然科学基金(19831060)