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国家自然科学基金(10131050): 作品数：29被引量：53H指数：4; 导出分析报告; 相关作者：赵俊宁詹华税王亚光王泽军王维克更多>>; 相关机构：上海交通大学厦门大学武汉大学集美大学更多>>; 相关期刊：《应用数学》《西安理工大学学报》《数学杂志》《数学年刊（A辑）》更多>>; 相关主题：DEGENERATECAUCHY_PROBLEMSPHERICALPULSESNONLINEAR_WAVE_EQUATIONS更多>>; 相关领域：理学自然科学总论机械工程更多>>

A Note to the Cauchy Problem for the Degenerate Parabolic Equations with Strongly Nonlinear Sources被引量：1: 《Journal of Partial Differential Equations》2009年第3期199-204,共6页ZHENG Tingting ZHAO Junning; The research is supported in part by the National Natural Science Foundation of China （No. 10131050）.; In this note we study the nonexistence of nontrivial global solutions on S = R^N × （0,∞） for the following inequalities：｜u｜t≥△（｜u｜^m-1u）＋｜u｜^q and ｜u｜t≥div（｜△u｜^p-2△｜u｜）＋｜u｜^q.When m,p,q ...; 关键词：Nonlinear sources global solutions nonexistence.

Existence of Explosive Solutions for a Class of Nonlinear Elliptic Equations: 《Journal of Donghua University(English Edition)》2008年第6期676-679,共4页彭亚红彭小珍; National Natural Science Foundation of China (No.10131050); By the subsuper solutions method, the explosive supersolutions and explosive subsol utions are obtained and the exsistence of explosive solutions is proved on a bounded domain for a class of nonlinear elliptic problem...; 关键词：nonlinear elliptic equations explosive supersolutions explosive subsolutions

Diffractive Interaction for Short Pulses in 2×2 System: 《Journal of Shanghai Jiaotong university(Science)》2008年第4期499-508,共10页袁明生; the National Natural Science Foundation of China (No. 10131050);the Educational Ministry of China and the Shanghai Science and Technology Committee Foundation (No. 03QMH1407); This paper studies the asymptotic behavior of the diffractive interaction of pulses with two linear phases of length ε ≤ 1 in 2 × 2 semilinear strictly hyperbolic system with constant coefficiients. By a formal ana...; 关键词：short pulses diffractive interaction 2 × 2 system

具非线性边界条件的非牛顿渗流方程整体弱解的存在唯一性被引量：1: 《数学研究》2007年第2期143-146,共4页于海波; 国家自然科学基金:非线性偏微分方程(10131050); 证明了一类具有非线性边值条件的非牛顿渗流方程解的存在和唯一性.; 关键词：非牛顿渗流方程整体弱解存在性唯一性

A Linear Hyperbolic System with Stiff Source Terms: 《Wuhan University Journal of Natural Sciences》2007年第2期207-210,共4页XU Hongmei WANG Weike; Supported by the National Natural Science Foundation of China(10131050); We consider the behavior of solutions to the system ut ＋vx =0, vt ＋ux =（au-v）/τ as the relaxation parameter τ approaches 0. If the sub characteristic condition｜a｜ is satisfied, then u approaches a solution to...; 关键词：hyperbolic system RELAXATION Green function

SPHERICAL NONLINEAR PULSES FOR THE SOLUTIONS OF NONLINEAR WAVE EQUATIONSⅡ, NONLINEAR CAUSTIC被引量：1: 《Acta Mathematica Scientia》2007年第2期381-394,共14页袁明生; The study is supported by National Natural Science Foundation of China (10131050);the Educational Ministry of China;the Shanghai Science and Technology Committee foundation (03QMH1407); This article discusses spherical pulse like solutions of the system of semilinear wave equations with the pulses focusing at a point and emerging outgoing in three space variables. In small initial data case, it shows...; 关键词：Nonlinear wave equations spherical pulses caustic crossing nonlinearity

非定常边界层问题整体解的存在唯一性被引量：1: 《中国科学（A辑）》2006年第8期870-900,共31页张剑文赵俊宁; 国家自然科学基金(批准号:10131050)资助项目; 研究粘性不可压缩流体中的边界层问题．通过引进变换,将原来边界层问题化为仅含有一个方程的拟线性抛物方程的初边值问题．对于不同情形,分别证明了该问题整体解与局部解的存在唯一性．; 关键词：边界层 BV空间整体解稳定性与唯一性

On the global existence and uniqueness of solutions to the nonstationary boundary layer system被引量：4: 《Science China Mathematics》2006年第7期932-960,共29页ZHANG Jianwen ZHAO Junning; This work was supported by the National Natural Science Foundation of China (Grant No. 10131050).; In this paper, we study the problem of boundary layer for nonstationary flows of viscous incompressible fluids. There are some open problems in the field of boundary layer. The method used here is mainly based on a tr...; 关键词：boundary layer BV space GLOBAL WEAK solutions stability and uniqueness.

On the Blow-up Phenomena of Cauchy Problem for the Camassa-Holm Equation: 《Wuhan University Journal of Natural Sciences》2006年第3期451-455,共5页LIU Yongqin WANG Weike; Supported by the National Natural Science Foun-dation of China (10131050) ;Science and Technology Committee of Shanghai ,China (03JC14013); We focus on the blow-up phenomena of Cauchy problem for the Camassa-Holm equation. Blow-up can occur only in the form of wave-breaking, i.e. the solution is bounded but its slope becomes unbounded in finite time. We p...; 关键词：WAVE-BREAKING blow-up rate blow-up set

带松弛项的单个守恒律方程解的时态渐近性质被引量：3: 《应用数学》2006年第2期348-355,共8页李念英王维克; 国家自然科学基金资助项目(10131050); 本文研究一维空间中带松弛项的单个守恒律方程解的大时间状态估计.在松弛项满足耗散条件下通过对线性化方程Green函数的逐点估计得到方程解在时间充分大时的衰减估计,并由此反映出“弱”惠更斯原理.; 关键词：守恒律方程松弛耗散条件逐点估计 GREEN函数

国家自然科学基金(10131050)