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国家自然科学基金(10976026): 作品数：24被引量：27H指数：3; 导出分析报告; 相关作者：谭忠许勇强伍火熊许建开郭荣聪更多>>; 相关机构：厦门大学闽南师范大学漳州师范学院湖南农业大学更多>>; 相关期刊：《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Annals of Applied Mathematics》更多>>; 相关主题：COMPRESSIBLENAVIER-STOKES_EQUATIONSISENTROPIC非存在性弱解更多>>; 相关领域：理学农业科学化学工程更多>>

PARTIAL REGULARITY RESULT OF SUPERQUADRATIC ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS: 《Annals of Applied Mathematics》2017年第2期162-185,共24页Yalin Qiu; Supported by the National Natural Science Foundation of China(No.10976026);Natural Science Foundation of Fujian Province(2012D102); We consider the partial regularity for weak solutions to superquadratic elliptic systems with controllable growth condition, under the assumption of Dini continuous coefficients. The proof relies upon an iteration sch...; 关键词：superquadratic elliptic systems controllable growth condition A-harmonic approximation optimal partial regularity

带有分数积分的波动方程解的非存在性被引量：1: 《厦门大学学报（自然科学版）》2016年第1期86-90,共5页许勇强; 国家自然科学基金(10976026); 通过选择恰当的检验函数与平移讨论相结合,给出了一类非线性项具有非局部性质的波动方程局部解和全局解存在的必要条件.; 关键词：波动方程非线性项分数积分全局非存在性弱解

LPS'S CRITERION FOR INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS被引量：3: 《Acta Mathematica Scientia》2014年第4期1072-1080,共9页陈卿谭忠吴国春; Supported by National Natural Science Foundation of China (10976026, 11271305, 11301439, 11226174); In this paper we derive LPS＇s criterion for the breakdown of classical solutions to the incompressible nematic liquid crystal flow, a simplified version of Ericksen-Leslie system modeling the hydrodynamic evolution o...; 关键词：incompressible nematic liquid crystal flow Ladyzhenskaya-Prodi-Serrin＇s criterion

GLOBAL EXISTENCE AND CONVERGENCE RATES OF SMOOTH SOLUTIONS FOR THE 3-D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITHOUT HEAT CONDUCTIVITY: 《Acta Mathematica Scientia》2014年第1期93-106,共14页高真圣谭忠吴国春; Supported by National Natural Science Foundation of China-NSAF(10976026);the Research Funds for the Huaqiao Universities(12BS232); In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations without heat conductivity, which is a hyperbolic-parabolic sys...; 关键词：MAGNETOHYDRODYNAMICS optimal convergence rate decay-in-time estimates

Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations被引量：6: 《Science China Mathematics》2013年第11期2205-2232,共28页ZHANG YingHui PAN RongHua TAN Zhong panrh@math.gatech.edu, ztan85@163.com; supported by National Natural Science Foundation of China(Grant Nos.11226170,10976026 and 11271305);China Postdoctoral Science Foundation Funded Project(Grant No.2012M511640);Hunan Provincial Natural Science Foundation of China(Grant No.13JJ4095);National Science Foundation of USA(Grant Nos.DMS-0807406 and DMS-1108994); We investigate the zero dissipation limit problem of the one-dimensional compressible isentropic Navier-Stokes equations with Riemann initial data in the case of the composite wave of two shock waves. It is shown that...; 关键词：zero dissipation limit compressible Navier-Stokes equations shock waves initial layers

Blow-up of Solutions for a Time-space Fractional Evolution System被引量：1: 《Acta Mathematica Sinica,English Series》2013年第6期1067-1074,共8页Yong Qiang XU Zhong TAN; Supported by National Natural Science Foundation of China-NSAF(Grant No.10976026); In this paper, firstly, we study the local existence and uniqueness of mild solutions for fractional evolution systems with nonlocal in time nonlinearity. Then, we claim that such a mild solution is weak solution of t...; 关键词：Local existence fractional integrals and derivatives evolution systems

ENERGY DISSIPATION FOR WEAK SOLUTIONS OF INCOMPRESSIBLE MHD EQUATIONS被引量：3: 《Acta Mathematica Scientia》2013年第3期865-871,共7页高真圣谭忠吴国春; Supported by NSFC (10976026);supported by the Fundamental Research Funds for the Central Universities (11QZR18);the Research Funds for high-level talents of Huaqiao University (12BS232); In this article, we mainly study the local equation of energy for weak solutions of 3D MHD equations. We define a dissipation term D（u, B） that steins from an eventual lack of smoothness in the solution, and then ob...; 关键词：Energy dissipation INCOMPRESSIBLE MHD equations

NONTRIVIAL SOLUTIONS FOR SEMILINEAR DIRICHLET FORMS VIA MORSE THEORY: 《Acta Mathematica Scientia》2013年第2期404-412,共9页方飞谭忠; supported by National Natural Science Foundation of China - NSAF (10976026);National Natural Science Foundation of China (11271305); Using variational methods and Morse theory, we obtain some existence results of multiple solutions for certain semilinear problems associated with general Dirichlet forms.; 关键词：Dirichlet forms Morse theory critical groups

EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMI-LINEAR HEAT EQUATION WITH FRACTIONAL LAPLACIAN: 《Acta Mathematica Scientia》2012年第6期2203-2210,共8页谭忠许勇强; supported by National Natural Science Foundation of China(10976026); In this paper, we are concerned with the existence and non-existence of global solutions of a semi-linear heat equation with fractional Laplacian. We obtain some extem sion of results of Weissler who considered the ca...; 关键词：fractional Laplacian equation global existence NONEXISTENCE

DECAY ESTIMATES FOR ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAIN被引量：4: 《Acta Mathematica Scientia》2012年第6期2211-2220,共10页Mohamed Ahmed Abdallah 江飞谭忠; Supported by the National Natural Science Foundation of China(10976026);the Fujian Provincial Department of Science and Technology(JK2009045); In this paper, under the hypothesis that y is upper bounded, we construct a Lyapunov functional for the multidimensional isentropic compressible magnetohydrodynamic equations and show that the weak solutions decay exp...; 关键词：Navier-Stokes equations weak solution decay estimates magnetohydrody-namic

国家自然科学基金(10976026)