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THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE: 《Acta Mathematica Scientia》2020年第6期1928-1940,共13页Wenxuan ZHENG Zhong TAN; the National Natural Science Foundation of China(11271305,11531010)。; In this article we consider the compressible viscous magnetohydrodynamic equations with Coulomb force.By spectral analysis and energy methods,we obtain the optimal time decay estimate of the solution.We show that the ...; 关键词：lower convergence rates upper decay rates spectral analysis energy method

非齐次不可压MHD方程的正则性与能量耗散被引量：2: 《中国科学：数学》2019年第12期1967-1978,共12页吴忠二谭忠; 国家自然科学基金(批准号:11271305和11531010)资助项目; 本文主要研究定义在T^3上的非齐次不可压MHD方程弱解的能量局部方程;证明在Besov空间中,解的正则性足以保证总能量的平衡.本文的估计方法是Feireisl的估计方法的一个变形.; 关键词：MHD方程正则性能量耗散

A GLOBAL EXISTENCE RESULT FOR KORTEWEG SYSTEM IN THE CRITICAL L^P FRAMEWORK: 《Acta Mathematica Scientia》2019年第6期1639-1660,共22页Zhensheng GAO Yan LIANG Zhong TAN; supported by Natural Science Foundation of Fujian Province(JZ160406);partly supported by National Natural Science Foundation of China-NSAF(11271305 and 11531010); The purpose of this work is to investigate the initial value problem for a general isothermal model of capillary fluids derived by Dunn and Serrin [12], which can be used as a phase transition model. Motivated by [9],...; 关键词：Korteweg SYSTEM GLOBAL EXISTENCE L^p-type BESOV norms

ON THE HEAT FLOW OF EQUATION OF H-SURFACE: 《Acta Mathematica Scientia》2019年第5期1397-1405,共9页Guochun WU Zhong TAN Jiankai XU; supported by National Natural Science Foundation of China(11701193,11671086);Natural Science Foundation of Fujian Province(2018J05005);Program for Innovative Research Team in Science and Technology in Fujian Province University Quanzhou High-Level Talents Support Plan(2017ZT012);part supported by National Natural Science Foundation of China(11271305,11531010);Jiankai Xu’s research was in part supported by National Natural Science Foundation(11671086,11871208);Natural Science Foundation of Hunan Province(2018JJ2159); We study the heat flow of equation of H-surface with non-zero Dirichlet boundary in the present article. Introducing the "stable set" M2 and "unstable set" M1, we show that there exists a unique global solution provid...; 关键词：H-surface non-zero DIRICHLET BOUNDARY SINGULARITY global solutions

ON INTEGRABILITY UP TO THE BOUNDARY OF THE WEAK SOLUTIONS TO A NON-NEWTONIAN FLUID被引量：2: 《Acta Mathematica Scientia》2019年第2期420-428,共9页Shanshan GUO Zhong TAN; supported by the National Natural Science Foundation of China(11271305,11531010); This work consider boundary integrability of the weak solutions of a non-Newtonian compressible fluids in a bounded domain in dimension three, which has the constitutive equartions as ■The existence result of weak so...; 关键词：COMPRESSIBLE fluid WEAK SOLUTIONS non-Newtonian FLUIDS INTEGRABILITY

PARTIAL REGULARITY OF STATIONARY NAVIER-STOKES SYSTEMS UNDER NATURAL GROWTH CONDITION被引量：1: 《Acta Mathematica Scientia》2019年第1期94-110,共17页Lianhua HE Zhong TAN; supported by the National Natural Science Foundation of China(11271305,11531010); In this article, we consider the partial regularity of stationary Navier-Stokes system under the natural growth condition. Applying the method of A-harmonic approximation,we obtain some results about the partial regul...; 关键词：PARTIAL REGULARITY Navier-Stoke systems natural growth condition A-harmonic APPROXIMATION

MULTIPLICITY RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM INVOLVING THE FRACTIONAL LAPLACIAN被引量：1: 《Acta Mathematica Scientia》2016年第6期1793-1803,共11页许勇强谭忠孙道恒; supported by China Postdoctoral Science Foundation Funded Project(2016M592088);National Natural Science Foundation of China-NSAF(11271305); In this paper, we consider a class of superlinear elliptic problems involving trac- tional Laplacian （-△）s/2u = λf（u） in a bounded smooth domain with zero Diriehlet bound- ary condition. We use the method on har...; 关键词：fractional Laplacian EXISTENCE ASYMPTOTIC Sobolev trace inequality

WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS: 《Acta Mathematica Scientia》2016年第2期499-513,共15页蔡虹谭忠; supported by National Natural Science Foundation of China-NSAF(11271305,11531010);the Fundamental Research Funds for Xiamen University(201412G004);supported by National Natural Science Foundation of ChinaNSAF(11271305,11531010); The compressible Navier-Stokes equations driven by a time-periodic external force are considered in this article. We establish the existence of weak time-periodic solutions and improve the result from [3] in the follo...; 关键词：Compressible fluid Navier-Stokes equations weak time-periodic solutions

ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R^3被引量：1: 《Acta Mathematica Scientia》2015年第3期746-760,共15页吴云顺谭忠; Supported by National Natural Science Foundation of China(11271305,11161011);Science and Technology Foundation of Guizhou Province of China(LKS[2012]11,LKS[2013]03,LKS[2013]05); We consider the Stokes approximation equations for compressible flows in /~3. The global unique solution and optimal convergence rates are obtained by pure energy method provided the initial perturbation around a cons...; 关键词：Stokes approximation equations energy method optimal decay rates Sobolevinterpolation negative Sobolev space

TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM: 《Acta Mathematica Scientia》2015年第1期216-234,共19页许秋菊蔡虹谭忠; Supported by National Natural Science Foundation of China(11271305); In this paper, we study the non-isentropic compressible magnetohydrodynamic system with a time periodic external force in R^n. Under the condition that the optimal time decay rates are obtained by spectral analysis, w...; 关键词：non-isentropic compressible magnetohydrodynamic system time periodic solution optimal time decay rates energy estimates

国家自然科学基金(11271305)