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国家自然科学基金(10531020): 作品数：28被引量：34H指数：4; 导出分析报告; 相关作者：谭忠尹俊平黄涛屈爱芳赵晓瑜更多>>; 相关机构：厦门大学复旦大学北京应用物理与计算数学研究所中国科学院更多>>; 相关期刊：《数学学报（中文版）》《数学年刊（A辑）》《Acta Mathematica Sinica,English Series》《山西财经大学学报》更多>>; 相关主题：MIXED_TYPEEQUATIONINTERIOROPTIMALREGULARITY更多>>; 相关领域：理学经济管理天文地球自然科学总论更多>>

Blow-up of Viscous Compressible Reactive Self-gravitating Gas被引量：1: 《Acta Mathematicae Applicatae Sinica》2012年第2期401-408,共8页Fei JIANG Zhong TAN; Supported by the National Natural Science Foundation of China (No. 10531020,10976062 and 11101044); In this paper, we prove some results concerning blow-up of viscous compressible reactive （selfgravitating） flows when the initial density is compactly supported and the other initial value satisfy proper conditions....; 关键词：compressible Naviver-Stokes equations smooth solution reactive self-gravitating gas

A NONLINEAR LAVRENTIEV-BITSADZE MIXED TYPE EQUATION: 《Acta Mathematica Scientia》2011年第6期2378-2388,共11页陈恕行; supported by National Natural Science Foundation of China (10531020);the Doctorial Foundation of National Educational Ministry (20090071110002); In this paper the Tricomi problem for a nonlinear mixed type equation is studied. The coefficients of the mixed type equation are discontinuous on the line, where the equation changes its type. The existence of soluti...; 关键词：nonlinear mixed type equation Tricomi problem Lavrentiev-Bitsadze equation partial hodograph transformation

低温等离子模型中的一个混合型方程的闭Dirichlet问题: 《数学年刊（A辑）》2011年第2期245-256,共12页屈爱芳; 国家自然科学基金(No.10531020);973计划(No.2006CB805902)资助的项目; 描述理想的低温等离子体中电磁波传播的模型是一个椭圆双曲混合型方程.证明了该方程闭Dirichlet问题弱解的存在唯一性.该结果关于区域的几何结构要求较少.由于这里所讨论的方程的奇异性与Keldysh方程的奇异性有相似性质,而后者的奇异性...; 关键词：低温等离子体模型双曲椭圆混合型方程闭边值问题内正则性

一类一维的辐射流体力学方程组激波的存在性: 《数学物理学报（A辑）》2011年第1期1-17,共17页朱一峰蒋鹏; 国家自然科学基金(10531020);国家联合基金(10676020)资助; 该文主要讨论一维空间中一类辐射流体力学方程组的激波.由Rankine-Hugoniot条件及熵条件得此问题可表述为关于辐射流体力学方程组带自由边界的初边值问题.首先通过变量代换,将其自由边界转换为固定边界,然后研究关于此非线性方程组的一...; 关键词：一维辐射流体力学方程组激波存在性

OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS被引量：3: 《Acta Mathematica Scientia》2010年第5期1541-1554,共14页邱亚林谭忠; Supported by NSF of China (10531020);the Education Department of Fujian Province(JK2009045);the Program of 985 Innovation Engieering on Information in Xiamen University(2004-2007); In this article, we consider nonlinear elliptic systems of divergence type with Dini continuous coefficients. The authors use a new method introduced by Duzaar and Grotowski, to prove partial regularity for weak solut...; 关键词：nonlinear elliptic systems the natural growth condition optimal partial regularity A-harmonic approximation technique

一类含非局部项的守恒律方程的稳定性: 《复旦学报（自然科学版）》2010年第4期427-432,共6页陈渊文; 国家自然科学基金重点资助项目(10531020); 针对辐射气体的一个简单近似模型,运用Lax-Friedrichs方法,给出这一类含非局部项的守恒律方程的弱熵解存在性的证明,并且讨论解关于流函数的L^1-稳定性.; 关键词：Lax-Friedrichs方法 BV估计 L1-稳定性

Global Existence of the Radially Symmetric Strong Solution to Navier-Stokes-Poisson Equations for Isentropic Compressible Fluids: 《Acta Mathematica Sinica,English Series》2009年第10期1703-1720,共18页Jun Ping YIN Zhong TAN; Supported by NSF of China (No.10531020);the Program of 985 Innovation Engineering on Information in Xiamen University(2004-2007);NCETXMU; We prove the two existence results of the radially symmetric strong solutions to the Navier- Stokes-Poisson equations for isentropic compressible fluids. The important point in this paper is that the initial density i...; 关键词：Navier-Stokes-Poisson equations annular domain radially symmetric solution strong solution EXISTENCE

Generalized Tricomi Problem for a Quasilinear Mixed Type Equation: 《Chinese Annals of Mathematics,Series B》2009年第5期527-538,共12页Shuxing CHEN; Project supported by the National Natural Science Foundation of China (No.10531020);the National Basic Research Program of China (No.2006CB805902);the Doctorial Program Foundation of the Ministry of Education of China;the Science and Technology Commission of Shanghai Municipality; In this paper,the Tricomi problem and the generalized Tricomi problem for a quasilinear mixed type equation are studied.The coefficients of the mixed type equation are discontinuous on the line,where the equation chan...; 关键词：Mixed type equation Tricomi problem Mach configuration

The fundamental solution of the Keldysh typeoperator被引量：3: 《Science China Mathematics》2009年第9期1829-1843,共15页CHEN ShuXing School of Mathematical Sciences, Fudan University, Shanghai 200433, China; supported by the National Basic Research Program of China (Grant No.2006CB805902);National Natural Science Foundation of China (Grant No.10531020);the Research Foundation for Doctor Programme (Grant No.20050246001); In this paper we discuss the fundamental solution of the Keldysh type operator $ L_\alpha u \triangleq \frac{{\partial ^2 u}} {{\partial x^2 }} + y\frac{{\partial ^2 u}} {{\partial y^2 }} + \alpha \frac{{\partial u}} ...; 关键词：mixed type equation Keldysh operator fundamental solution finite part of divergent integral 35M10 35A08

等熵可压Navier-Stokes-Poisson方程局部强解适定性被引量：1: 《数学物理学报（A辑）》2009年第4期985-1000,共16页尹俊平谭忠; 国家自然科学基金(10531020);;厦门大学新世纪优秀人才资助计划(NCETXMU)资助; 该文得到了三维情形等熵可压Navier-Stokes-Poisson方程局部强解的存在性、唯一性及稳定性.重要的是,该文允许初始密度真空的存在.首先用推广形式的Gronwall不等式得到了强解的局部存在性,然后得到了较弱条件下的唯一性,在证明唯一性的...; 关键词：局部强解 Navier—Stokes—Poisson方程存在性唯一性稳定性.

国家自然科学基金(10531020)