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DECAY: 作品数：999被引量：824H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：郑旭明薛佳丹梁宇学张伟陈艺锋更多>>; 相关机构：中山大学首都师范大学浙江理工大学湖南工业大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

ELLIPTIC EQUATION WITH CRITICAL EXPONENT AND DIPOLE POTENTIAL: EXISTENCE AND DECAY ESTIMATES: 《Acta Mathematica Scientia》2025年第2期636-658,共23页Yu SU Zhisu LIU Senli LIU; supported by the Natural Science Research Project of Anhui Educational Committee(2023AH040155);Zhisu Liu's research was supported by the Guangdong Basic and Applied Basic Research Foundation(2023A1515011679;2024A1515012704);the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(CUG2106211;CUGST2).; The paper is concerned with a class of elliptic equation with critical exponent and Dipole potential.More precisely,we make use of the refined Sobolev inequality with Morrey norm to obtain the existence and decay prop...; 关键词：Dipole potential decay estimation Hardy Sobolev critical exponent Henon Sobolev critical exponent

THE STABILITY OF BOUSSINESQ EQUATIONS WITH PARTIAL DISSIPATION AROUND THE HYDROSTATIC BALANCE: 《Acta Mathematica Scientia》2024年第4期1466-1486,共21页Saiguo XU Zhong TAN; supported by National Natural Science Foundation of China(12071391,12231016);the Guangdong Basic and Applied Basic Research Foundation(2022A1515010860)。; This paper is devoted to understanding the stability of perturbations around the hydrostatic equilibrium of the Boussinesq system in order to gain insight into certain atmospheric and oceanographic phenomena.The Bouss...; 关键词：Boussinesq equations partial dissipation stability DECAY

GLOBAL EXISTENCE,EXPONENTIAL DECAY AND BLOW-UP IN FINITE TIME FOR A CLASS OF FINITELY DEGENERATE SEMILINEAR PARABOLIC EQUATIONS被引量：1: 《Acta Mathematica Scientia》2019年第5期1290-1308,共19页Hua CHEN Huiyang XU; supported by National Natural Science Foundation of China(11631011 and 11626251); In this paper,we study the initial-boundary value problem for the semilinear parabolic equations ut-△Xu=|u|p-1u,where X=（X1,X2,…,Xm） is a system of real smooth vector fields which satisfy the H?rmander’s conditio...; 关键词：finitely DEGENERATE PARABOLIC equation global EXISTENCE BLOW-UP DECAY estimate

ON THE CAUCHY PROBLEM FOR IMBQ SYSTEM ARISING FROM DNA: 《Acta Mathematica Scientia》2019年第4期1136-1148,共13页Yuzhu WANG Naiwen TIAN; partially supported by NNSF of China(11871212);Plan For Scientific Innovation Talent of Henan Province(154100510012); In this article, we focus on the Cauchy problem for the generalized IMBq system in n-dimensional space, which arises from DNA. We show the global existence and decay estimates of solution for a class of initial veloci...; 关键词：GENERALIZED IMBq system arising from DNA global EXISTENCE DECAY ESTIMATE

A GENERAL DECAY AND OPTIMAL DECAY RESULT IN A HEAT SYSTEM WITH A VISCOELASTIC TERM被引量：2: 《Acta Mathematica Scientia》2019年第2期618-626,共9页Abderrahmane YOUKANA Salim A.MESSAOUDI Aissa GUESMIA; partially funded by KFUP Munder Project#IN161006; We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.; 关键词：heat EQUATION VISCOELASTIC general DECAY OPTIMAL

GLOBAL EXISTENCE AND OPTIMAL CONVERGENCE RATES OF SOLUTIONS FOR THREE-DIMENSIONAL ELECTROMAGNETIC FLUID SYSTEM: 《Acta Mathematica Scientia》2019年第2期469-490,共22页Yin LZ Ruiying WEI Zheng-an YAO; partially supported by the National Natural Science Foundation of China(11501373,11701380,11271381);Guangdong Provincial Culture of Seedling of China(2013LYM0081);the Natural Science Foundation of Guangdong Province(2017A030307022,2016A0300310019,2016A030307042);the Education Research Platform Project of Guangdong Province(2014KQNCX208);the Education Reform Project of Guangdong Province(2015558); In this article, we study the electromagnetic fluid system in three-dimensional whole space R^3. Under assumption of small initial data, we establish the unique global solution by energy method. Moreover, we obtain th...; 关键词：ELECTROMAGNETIC FLUID DECAY rates Fourier-splitting method

SOME STABILITY RESULTS FOR TIMOSHENKO SYSTEMS WITH COOPERATIVE FRICTIONAL AND INFINITE-MEMORY DAMPINGS IN THE DISPLACEMENT: 《Acta Mathematica Scientia》2016年第1期1-33,共33页Aissa GUESMIA Salim MESSA O UDI; funded by KFUPM under the scientific project IN141015; In this paper, we consider a vibrating system of Timoshenko-type in a one- dimensional bounded domain with complementary frictional damping and infinite memory acting on the transversal displacement. We show that the ...; 关键词：WELL-POSEDNESS DECAY damping TIMOSHENKO THERMOELASTICITY

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

EXISTENCE UNIQUENESS AND DECAY OF SOLUTION FOR FRACTIONAL BOUSSINESQ APPROXIMATION: 《Acta Mathematica Scientia》2013年第4期883-900,共18页郭春晓张景军郭柏灵; Sponsored by the Fundamental Research Funds for the Central Universities(2010QS04);the National Science Foundation of China(11201475,11126160,11201185);Zhejiang Provincial Natural Science Foundation of China under Grant(LQ12A01013); The Boussinesq approximation finds more and more frequent use in geologi- cal practice. In this paper, the asymptotic behavior of solution for fractional Boussinesq approximation is studied. After obtaining some a pri...; 关键词：fractional Boussinesq approximation commutator estimate Galerkinmethod decay of solutions

EXPONENTIAL DECAY FOR A VISCOELASTICALLY DAMPED TIMOSHENKO BEAM: 《Acta Mathematica Scientia》2013年第2期505-524,共20页N. TATAR; the financial support and the facilities provided by King Fahd University of Petroleum and Minerals through project No. IN111034; Of concern is a viscoelastic beam modelled using the Timoshenko theory. It is well-kimwn that the system is exponentially stable if the kernel in the memory term is sub- exponential. That is, if the product of the ker...; 关键词：Arbitrary decay memory term relaxation function Timoshenko beam vis-coelasticity

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