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一类带有强耗散项的波动方程整体解的衰减估计
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作者 叶耀军 汪松玉 《河南科学》 2007年第5期693-695,共3页
通过建立差分不等式,研究了一类带有强耗散项的非线性波动方程的初边值问题,得到了整体解的衰减估计.
关键词 非线性波动方程 强耗散 初边值问题 衰减估计
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一类具非线性强耗散项的发展方程初边值问题解的Blow up
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作者 尚亚东 《信阳师范学院学报(自然科学版)》 CAS 2002年第2期136-140,共5页
研究了具非线性强耗散项的发展方程 utt- δuxx- β(ux t) x=f(u)的初边值问题解的整体非存在性和 blow up,得到了问题的解在有限时间内 blow up的一些充分条件 。
关键词 非线性强耗散 整体非存在性 充分条件 整体解 非线性发展方程 初边值问题 BLOW up
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一类具非线性强耗散项发展方程解的爆破
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作者 尚亚东 《纺织高校基础科学学报》 CAS 2001年第3期189-193,共5页
研究具非线性强耗散项的发展方程 utt-γuxx=β(uxt) x的初边值问题解的整体非存在性和 blow up.借助于特征函数法和 Jensen不等式 ,证明了在非线性函数和初始数据的某些条件下 ,问题的解在有限时间内 blow up.
关键词 非线性发展方程 强耗散 初边值问题 BLOW up
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一类强耗散非线性波动方程的惯性流形
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作者 郭亚梅 李华慧 《安阳师范学院学报》 2016年第5期62-65,共4页
要证明惯性流形的存在性,需要证明方程满足谱间隔条件,而这存在一定的困难,为了克服这种困难,利用Hadamard的图变换方法来证明一类强耗散非线性波动方程的惯性流形的存在性.
关键词 惯性流形 强耗散 图变换
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带有强耗散项的一类非线性波动方程的整体吸引子 被引量:1
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作者 李华慧 杨永燕 《新乡学院学报》 2016年第6期4-6,共3页
利用带有四阶强耗散项的非线性波动方程解的一致先验估计证明了该方程整体解的存在唯一性,并证明了该方程解半群整体吸引子的存在性。
关键词 强耗散 存在唯一性 非线性波动方程 整体吸引子
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一类非线性强耗散发展方程的初边值问题和初值问题(英文)
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作者 刘亚成 刘大成 《四川师范大学学报(自然科学版)》 CAS CSCD 1992年第1期16-25,共10页
本文研究了一类非线性强耗散发展方程(1.1)和其多维形式(3.1)具初边值打件(0.2)和(0.3)的初边值问题和初值问题.通过单调方法,紧致方法,正则化方法用它们之间的结合使用,对初边值问题,假设δ_i(s)满足(H)和(H_2)(1≤i≤4)中的任何一个,... 本文研究了一类非线性强耗散发展方程(1.1)和其多维形式(3.1)具初边值打件(0.2)和(0.3)的初边值问题和初值问题.通过单调方法,紧致方法,正则化方法用它们之间的结合使用,对初边值问题,假设δ_i(s)满足(H)和(H_2)(1≤i≤4)中的任何一个,并且δ_i(s)满足(H),(H_1)',(或者(H_2)'及(H_5),我们得到(0.1)的整体强解和(3.1)的整体广义解的存在唯一性对初值问题,可得类似结果,从而Prestel的结果(1982)得到改进和推广. 展开更多
关键词 发展方程 强耗散 整体解
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二维耗散非线性薛定谔方程解的时间衰减估计
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作者 郭佳鑫 李春花 《延边大学学报(自然科学版)》 CAS 2023年第4期283-287,共5页
研究了一类二维耗散非线性薛定谔方程初值问题解的时间衰减估计,其中非线性项为λ|v|^(p-1)v,λ为复常数,并且λ满足强耗散条件λ_(2)<0,|λ^(2)|≥p-1/2√p|λ_(1)|.在初值大小不受限制的条件下,得到了上述二维耗散非线性薛定谔方... 研究了一类二维耗散非线性薛定谔方程初值问题解的时间衰减估计,其中非线性项为λ|v|^(p-1)v,λ为复常数,并且λ满足强耗散条件λ_(2)<0,|λ^(2)|≥p-1/2√p|λ_(1)|.在初值大小不受限制的条件下,得到了上述二维耗散非线性薛定谔方程解的Lq时间衰减估计,其中q>2. 展开更多
关键词 非线性薛定谔方程 初值问题 强耗散 L^(q)-时间衰减估计
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运用同伦分析法求解一类强非线性耗散振动系统
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作者 聂守丰 闫晓芳 《华北水利水电学院学报》 2010年第3期103-106,共4页
运用同伦分析理论研究了五次强非线性且含有激励项的耗散Duffing系统,求出了此系统的零阶近似解和一阶近似解,并用数值模拟值与原系统的精确解相比较,证明了所得结果的精确度,说明了此理论适用于一些强非线性系统.
关键词 同伦分析法 非线性振动 DUFFING方程 近似解
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具耗散项拟线性双曲型方程组解的奇性形成与特征包络
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作者 刘法贵 《华北水利水电学院学报》 1993年第1期38-41,共4页
关键词 强耗散 柯西 特征包络 奇性 双曲型方程组
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一类高阶波动方程的整体解及指数衰减估计 被引量:1
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作者 叶耀军 胡月 《数学物理学报(A辑)》 CSCD 北大核心 2018年第1期110-121,共12页
研究了一类具有强耗散项的非线性高阶波动方程的初边值问题.通过在Sobolev空间中定义稳定集证明了此问题整体解的存在性,并给出了解的指数衰减估计.同时得到了初始能量为正时,解在不稳定集内发生爆破.
关键词 非线性高阶波动方程 初边值问题 强耗散 整体解 指数衰减
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一类非线性薛定谔方程解的衰减估计 被引量:1
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作者 韩琦悦 李春花 《延边大学学报(自然科学版)》 CAS 2020年第1期24-27,共4页
研究了一类具有次临界非线性项的薛定谔方程的大初值问题.在强耗散条件下,分析了非线性薛定谔方程i■tv+1/2■x2v=λ|v|p-1v+ia/((1+t)(p-1))v整体解的L2衰减估计,所得结果完善了文献[4]的结论.
关键词 非线性薛定谔方程 次临界非线性项 强耗散条件 衰减估计
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阻尼非线性SchrÖdinger方程解的时间衰减估计
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作者 宋媛 韩琦悦 +1 位作者 李春花 砂川秀明 《黑龙江大学自然科学学报》 CAS 2022年第1期18-23,共6页
研究了满足强耗散条件Iλ<0,|Iλ|>((p-1)/2√p)|Rλ|的一维阻尼非线性SchrÖdinger方程的初始值问题。在初始值||v_(0)(x)||H^(0,θ)(R)(1/2<θ≤1)较大的条件下,讨论了此类阻尼非线性SchrÖdinger方程解的时间衰减... 研究了满足强耗散条件Iλ<0,|Iλ|>((p-1)/2√p)|Rλ|的一维阻尼非线性SchrÖdinger方程的初始值问题。在初始值||v_(0)(x)||H^(0,θ)(R)(1/2<θ≤1)较大的条件下,讨论了此类阻尼非线性SchrÖdinger方程解的时间衰减估计和长时间渐近行为。 展开更多
关键词 阻尼非线性SchrÖdinger方程 时间衰减估计 强耗散条件 初始值问题 长时间渐近行为
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Seismic Response of Reinforced Concrete Buildings Retrofitted with Dissipative Steel Braces
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作者 Luigi Di Samo Gaenato Manfredi 《Journal of Civil Engineering and Architecture》 2010年第2期8-24,共17页
The present work discusses the outcomes of recent experimental tests and numerical simulations carried out on full scale reinforced concrete (RC) non-ductile frames retrofitted with dissipative steel braces, i.e. in... The present work discusses the outcomes of recent experimental tests and numerical simulations carried out on full scale reinforced concrete (RC) non-ductile frames retrofitted with dissipative steel braces, i.e. innovative buckling restrained braces (BRBs). Experimental tests were performed on two sample full scale RC framed buildings designed for gravity loads only. Such frames were subjected to cyclic pushovers to investigate their structural performance under different levels of earthquake loadings. The outcomes of the performed experimental tests demonstrate the efficiency and reliability of utilizing BRBs to retrofit non ductile RC frames. These outcomes were confirmed by refined non linear static and response history analyses carried out on an existing RC school framed building designed without seismic details and retrofitted with BRBs similar to those adopted for the tested full-scale frame. In such sample building the BRBs are placed along the perimeter of the existing frames to minimize the interruption of the functionality of the school and for easy of maintenance in the aftermath of major earthquake ground motions. The seismic performance assessment of the retrofitted structural system is illustrated in a detailed manner. Local and global response quantities are presented. The values of the global overstrength Ω for the case study vary between 2.14 and 2.54 for the retrofitted framed building. The translation ductility μ△-values range between 2.07 and 2.36. The response modification factor (or behaviour factor, namely R- or q-factor) is on average equal to 5.0. Additionally, the estimated maximum axial ductility of the BRBs is about 10. Finally, the cost-effectiveness of the adopted retrofitting scheme is emphasized and further needs for the application of BRBs are highlighted. 展开更多
关键词 Seismic retrofitting dissipative braces reinforced concrete frames response analysis earthquakes.
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Low cyclic fatigue performance of concrete-filled steel tube columns 被引量:1
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作者 秦鹏 谭杨 肖岩 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第10期4035-4042,共8页
Eight concrete-filled steel tubular(CFT) columns were tested subjected to cyclic loading under constant axial load. Experimental parameters included axial compression ratio, loading sequences, and strength of concrete... Eight concrete-filled steel tubular(CFT) columns were tested subjected to cyclic loading under constant axial load. Experimental parameters included axial compression ratio, loading sequences, and strength of concrete and steel. The seismic performance of CFT columns and failure modes were analyzed. The test results show that different axial load ratios and loading sequences have effects on the load carrying capacity, ductility and energy dissipation capacity of CFT columns, as well as the failure modes of the CFT columns. The failure pattern can be categorized into two types: local buckling failure of steel tube in compression zone, and low cycle fatigue tearing rupture failure of steel tube. The seismic behavior was evaluated through the energy index obtained from each cycle. 展开更多
关键词 concrete-filled steel tubular columns low cyclic fatigue seismic performance failure mode
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Effects Viscous Dissipation on the Asymptotic Behaviour of Laminar Forced Convection for HerscheI-Bulkley Fluid in a Circular Duct
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作者 Rabha Khatyr Jaafar Khalid-naciri Ali IL Idrissi 《Journal of Mechanics Engineering and Automation》 2016年第8期419-426,共8页
The asymptotic behaviour of laminar forced convection in a circular duct, for a Herschel-Bulkley fluid with constant properties, is analysed by taking into account the viscous dissipation effects. The axial heat condu... The asymptotic behaviour of laminar forced convection in a circular duct, for a Herschel-Bulkley fluid with constant properties, is analysed by taking into account the viscous dissipation effects. The axial heat conduction in the fluid is neglected. The asymptotic temperature field and the asymptotic value of the Nusselt number are determined for every boundary condition that allows a fully developed region. Comparisons with other existing solutions for Newtonian and non-Newtonian cases are presented. 展开更多
关键词 Laminar forced convection viscous dissipation Herschel-Bulkley fluid asymptotic behaviour variable wall heat flux.
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Study on Hydrography and Small-Scale Process over Zhoushan Sea Area
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作者 WU He DU Min +1 位作者 WANG Xiaoyong MENG Jie 《Journal of Ocean University of China》 SCIE CAS 2015年第5期829-834,共6页
This paper mainly analyzes the tidal characteristics and small-scale mixing process near Zhoushan Islands. First, the spectral analysis and wavelet analysis are adopted for the measured tide level data and tidal curre... This paper mainly analyzes the tidal characteristics and small-scale mixing process near Zhoushan Islands. First, the spectral analysis and wavelet analysis are adopted for the measured tide level data and tidal current data from the Zhoushan sea area, which indicate that the main tidal cycle near Hulu Island and Taohua Island is semi-diurnal cycle, the diurnal cycle is subordinate. Both their intensities are changed periodically, meanwhile, the diurnal tide becomes stronger when semi-diurnal tide becomes weak. The intensity of baroclinie tidal current weakens at first and then strengthens from top to bottom. Then, in this paper, the Gregg-Henyey (G-H) parameterization method is adopted to calculate the turbulent kinetic energy dissipation rate based on the measured temperature and tidal current data. The results of which shown that the turbulent kinetic energy dissipation rate around Hulu Island is higher than that around Taohua Island. In most cases, the turbulent kinetic energy dissipation rate during spring tide is larger than that during the neap tide; the turbulent kinetic energy dissipation rate in the surface layer and the bottom layer are higher than that in the intermediate water; the changes of turbulent kinetic energy dissipation rate and tidal current are basically synchronous The modeled turbulent kinetic energy dissipation rate gets smaller with the increase of the stratification, however, gets larger with the increase of shearing. 展开更多
关键词 tidal characteristics parameterization method turbulent kinetic energy dissipation rate
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Short-Time Linear Response with Reduced-Rank Tangent Map 被引量:1
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作者 Rafail V. ABRAMOV 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第5期447-462,共16页
The recently developed short-time linear response algorithm,which predicts the response of a nonlinear chaotic forced-dissipative system to small external perturbation,yields high precision of the response prediction.... The recently developed short-time linear response algorithm,which predicts the response of a nonlinear chaotic forced-dissipative system to small external perturbation,yields high precision of the response prediction.However,the computation of the short-time linear response formula with the full rank tangent map can be expensive.Here,a numerical method to potentially overcome the increasing numerical complexity for large scale models with many variables by using the reduced-rank tangent map in the computation is proposed.The conditions for which the short-time linear response approximation with the reduced-rank tangent map is valid are established,and two practical situations are examined,where the response to small external perturbations is predicted for nonlinear chaotic forced-dissipative systems with different dynamical properties. 展开更多
关键词 Fluctuation-dissipation theorem Linear response
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Constructal optimization of cylindrical heat sources with forced convection based on entransy dissipation rate minimization 被引量:12
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作者 GONG ShuWen CHEN LinGen +2 位作者 XIE ZhiHui FENG HuiJun SUN FengRui 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2016年第4期631-639,共9页
Based on constructal theory and entransy theory,the optimal designs of constant-and variable-cross-sectional cylindrical heat sources are carried out by taking dimensionless equivalent resistance minimization as optim... Based on constructal theory and entransy theory,the optimal designs of constant-and variable-cross-sectional cylindrical heat sources are carried out by taking dimensionless equivalent resistance minimization as optimization objective.The effects of the cylindrical height,the cylindrical shape and the ratio of thermal conductivity of the fin to that of the heat source are analyzed.The results show that when the volume of the heat source is fixed,there exists an optimal ratio of the center-to-centre distance of the fin and the heat source to the cylinder radius which leads to the minimum dimensionless equivalent thermal resistance.With the increase in the height of the cylindrical heat source and the ratio of thermal conductivity,the minimum dimensionless equivalent thermal resistance decreases gradually.For the heat source model with inverted variable-cross-sectional cylinder,there exist an optimal ratio of the center-to-centre distance of the fin and the heat source to the cylinder radius and an optimal radius ratio of the smaller and bigger circles of the cylindrical fin which lead to a double minimum dimensionless equivalent thermal resistance.Therefore,the heat transfer performance of the cylindrical heat source is improved by adopting the cylindrical model with variable-cross-section.The optimal constructs of the cylindrical heat source based on the minimizations of dimensionless maximum thermal resistance and dimensionless equivalent thermal resistance are different.When the thermal security is ensured,the optimal construct of the cylindrical heat source based on minimum equivalent thermal resistance can provide a new alternative scheme for the practical design of heat source.The results obtained herein enrich the work of constructal theory and entransy theory in the optimal design field of the heat sources,and they can provide some guidelines for the designs of practical heat source systems. 展开更多
关键词 constructal theory entransy theory entransy dissipation rate minimization three-dimensional cylindrical heat source generalized thermodynamic optimization
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