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国家自然科学基金(11271066): 作品数：10被引量：8H指数：2; 导出分析报告; 相关作者：李海燕梁宏伟赵艳丽更多>>; 相关机构：东华大学河南大学成都理工大学更多>>; 相关期刊：《江汉大学学报（自然科学版）》《Acta Mathematica Scientia》《Chinese Quarterly Journal of Mathematics》《河南大学学报（自然科学版）》更多>>; 相关主题：GLOBAL_EXISTENCEUNIQUENESSREMARKASYMPTOTIC_BEHAVIOR一致吸引子更多>>; 相关领域：理学更多>>

Global Existence,Asymptotic Behavior and Uniform Attractors for a Third Order in Time Dynamics: 《Chinese Quarterly Journal of Mathematics》2016年第3期221-236,共16页曹洁; Supported by the National Natural Science Foundation of China(11271066);Supported by the Shanghai Education Commission(13ZZ048); In this paper, a third order（in time） partial differential equation in R^n is con-sidered. By using semigroup method and constructing Lyapunov function, we establish the global existence, asymptotic behavior and uni...; 关键词：third order in time dynamics WELL-POSEDNESS asymptotic behavior uniform attractors

Global Existence,Asymptotic Behavior and Uniform Attractors of Timoshenko Systems with Gurtin-Pipkin Thermal Law: 《Chinese Quarterly Journal of Mathematics》2016年第3期307-330,共24页郑秀珍; Supported by the National Natural Science Foundation of China(11271066);Supported by the Shanghai Education Commission(13ZZ048); In this paper,we first establish the global existence and asymptotic behavior of solutions by using the semigroup method and multiplicative techniques,then further prove the existence of a uniform attractor for Timosh...; 关键词：Timoshenko systems global existence asymptotic behavior uniform attractors semigroup methods

A Remark on Global Existence,Uniqueness and Exponential Stability of Solutions for the 1D Navier-Stokes-Korteweg Equations被引量：1: 《Chinese Quarterly Journal of Mathematics》2016年第1期27-38,共12页ZHANG Jian-lin CAO Jie SU Xing; Supported by the National Natural Science Foundation of China(11271066);Supported by the Shanghai Education Commission(13ZZ048); In this paper, we investigate non-isothermal one-dimensional model of capillary compressible fluids as derived by M Slemrod(1984) and J E Dunn and J Serrin(1985). We establish the existence, uniqueness and exponential...; 关键词：Navier-Stokes equations CAPILLARITY Korteweg stress tensor

A Remark on Persistence of Regularity for the Nonlinear Boussinesq System in Dimension Two: 《Chinese Quarterly Journal of Mathematics》2016年第1期102-110,共9页SU Xing CAO Jie ZHANG Jian-lin; Supported by the National Natural Science Foundation of China(11271066);Supported by the Innovation Program of Shanghai Municipal Education Commission(13ZZ048);Supported by the the Science Foundation of Hebei Province(A2013410007);Supported by the Fundamental Research Funds for the Central Universities(SUSF-DH-D-2015085); This paper investigates the Cauchy problem for the nonlinear Boussinesq system in dimension two, and prove that for any initial data(u_0, θ_0) in H^(1+s)×H^(1+s), where s ∈(0, 1),the persistence of regularity holds.; 关键词：the Cauchy problem nonlinear Boussinesq system persistence of regularity

带有热效应可拉伸梁方程一致吸引子的存在性（英文）被引量：4: 《河南大学学报（自然科学版）》2015年第1期6-14,共9页李海燕梁宏伟; Supported by the NNSF of China(11271066);Innovation Program of Shanghai Municipal Education Commission(13ZZ048);Doctoral Innovational Fund of Donghua University(BC2013068);Soft Science Fund Project of Henan Province(142400410924); 运用压缩函数的方法,建立了带有热效应梁方程全局解产生的半过程的一致渐近紧性,证明了带有热效应梁方程在有界区域ΩR(n≥1)中一致吸引子的存在性.; 关键词：可拉伸梁方程一致吸引子一致渐近紧

Global Attractors for the One-dimensional Model of Thermodiffusion with Second Sound: 《Chinese Quarterly Journal of Mathematics》2014年第3期457-464,共8页ZHANG Ming; Supported by the NNSF of China(11031003,11271066);Supported by the Shanghai Education Commission(13ZZ048); In this paper we investigate the global attractors for the one-dimensional linear model of thermodiffusion with second sound. Using the method of contractive functions, we obtain the asymptotically compact of the semi...; 关键词：THERMODIFFUSION second sound global attractors asymptotically compact

GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND被引量：2: 《Acta Mathematica Scientia》2014年第3期759-778,共20页秦玉明李海燕; Sponsored by the NNSF of China(11031003,11271066,11326158);a grant of Shanghai Education Commission(13ZZ048);Chinese Universities Scientific Fund(CUSF-DH-D-2013068); This article is devoted to the study of global existence and exponential stability of solutions to an initial-boundary value problem of the quasilinear thermo-diffusion equations with second sound by means of multipli...; 关键词：Thermo-diffusion equations global existence exponential stability second sound multiplicative techniques

Local Regularity for a 1D Compressible Viscous Micropolar Fluid Model with Non-homogeneous Temperature Boundary: 《Chinese Quarterly Journal of Mathematics》2014年第1期129-141,共13页SUN Lin-lin LIANG Tie-wang ZHANG Jian-peng; Supported by the NNSF of China(11271066);Supported by the grant of Shanghai Education Commission(13ZZ048); In this paper,we discuss the local existence of H^i(i=2,4)solutions for a 1D compressible viscous micropolar fluid model with non-homogeneous temperature boundary.The proof is based on the local existence of solutions...; 关键词：compressible Navier-Stokes equations micropolar fluid the initial boundary value problem non-homogeneous temperature boundary

On Uniform Decay of Solutions for Extensible Beam Equation with Strong Damping: 《Chinese Quarterly Journal of Mathematics》2014年第1期151-158,共8页FENG Bao-wei ZHANG Ming LIANG Tie-wang LI Hai-yan; Supported by the NNSF of china(11271066,11326158);Supported by the grant of Shanghai Education Commission(13ZZ048);Supported by the Doctoral Innovational Fund of Donghua University(BC201138); This paper investigates the existence and uniform decay of global solutions to the initial and boundary value problem with clamped boundary conditions for a nonlinear beam equation with a strong damping.; 关键词：extensible beam equation global existence UNIQUENESS uniform decay

(2+1)维Boiti-Leon-Pempinelli方程的精确解被引量：1: 《江汉大学学报（自然科学版）》2013年第1期19-22,共4页赵艳丽; 国家自然科学基金资助项目(11271066); 介绍了求解非线性偏微分方程的方法—(G′/G)-展开法。通过使用该方法,并借助Maple得到了(2+1)维Boiti-Leon-Pempinelli(简称BLP)方程的多种新精确解,其中包括双曲函数解、三角函数解和有理函数解等。; 关键词：(2+1)维BLP方程 (G′/G)-展开法扭结孤子解符号计算

国家自然科学基金(11271066)