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一类多维拟线性抛物型方程解的blow—up
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作者 李海峰 《中原工学院学报》 CAS 1992年第2期18-25,共8页
本文用凸性方法研究了一类多维拟线性抛物型方程: 具有两类边界条件的混合问题解的blow—up性质,得到了其解必在有限时间内blow—u的充分条件。
关键词 拟线性 多维 抛物型方程 混合问题 解的blow—up
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一个非线性边值问题解的Blow—up
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作者 王远弟 《贵州大学学报(自然科学版)》 1996年第1期5-7,共3页
这里讨论非线性方程u_t=div(φ(u)▽_u),带有非线性边界条件=f(u)及正初始值,我们证明当∫^(+8)1/(f(u))du<+∞时一定条件下该问题的解在有限时间内Blow—up。
关键词 非线性 抛物型方程 边界条件 blow-UP
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一个反应方程的解与blow—up问题
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作者 周南 程小力 《大学数学》 1996年第4期6-9,共4页
本文用上、下解的方法讨论了一个推广的核反应数学模型的解的存在性及在有限时刻爆炸(blow-up)的问题.
关键词 初边值问题 上、下解 整体解 blow-UP
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某类非线性发展方程的Blow—up
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作者 钮鹏程 《青海民族大学学报(教育科学版)》 1990年第4期59-63,共5页
本文对较广的一类非线性抛物型方程和一类非线性双曲型方程的三类初边值问题,讨论了其解在“大初值”情形时的Blow-up问题。
关键词 非线性发展方程 初边值问题 解的blow—up
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一类非线性抛物型方程的解及其BLOW—UP时间的估计
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作者 张振佈 《青岛大学学报(自然科学版)》 CAS 1994年第1期49-54,共6页
本文中我们对非线性抛物型方程的解及其blow-up时间给出了两个重要的估计。
关键词 抛物型方程 非线性 时间估计
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一类非线性Sobolev─Galpern方程的渐近性质与blow—up
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作者 刘亚成 谢瑰林 《哈尔滨船舶工程学院学报》 CSCD 1994年第2期73-76,共4页
用积分估计方法研究一类多维非线性Sobolev-Galpern方程初边值问题解的渐适性质与blow—up,得到了一些有意义的结果①.
关键词 渐近性 S-G方程 blow-UP
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非线性Schrdinger方程初边值问题解的Blow—up
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作者 王凡彬 《内江师范学院学报》 1994年第2期22-25,共4页
本文利用Lap’ace算子的特征值和特征函数得到了一类非线性Schrdinger方程初边值问题解Blow—up的条件,补充和完善了文[1]的结果。
关键词 非线性Schrdinger方程 初边值 问题解 古典解 特征函数 非线性SCHRODINGER方程 第三类边界条件 有限时间 第二类边界条件 blow
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Hybrid model for BOF oxygen blowing time prediction based on oxygen balance mechanism and deep neural network 被引量:3
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作者 Xin Shao Qing Liu +3 位作者 Zicheng Xin Jiangshan Zhang Tao Zhou Shaoshuai Li 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CSCD 2024年第1期106-117,共12页
The amount of oxygen blown into the converter is one of the key parameters for the control of the converter blowing process,which directly affects the tap-to-tap time of converter. In this study, a hybrid model based ... The amount of oxygen blown into the converter is one of the key parameters for the control of the converter blowing process,which directly affects the tap-to-tap time of converter. In this study, a hybrid model based on oxygen balance mechanism (OBM) and deep neural network (DNN) was established for predicting oxygen blowing time in converter. A three-step method was utilized in the hybrid model. First, the oxygen consumption volume was predicted by the OBM model and DNN model, respectively. Second, a more accurate oxygen consumption volume was obtained by integrating the OBM model and DNN model. Finally, the converter oxygen blowing time was calculated according to the oxygen consumption volume and the oxygen supply intensity of each heat. The proposed hybrid model was verified using the actual data collected from an integrated steel plant in China, and compared with multiple linear regression model, OBM model, and neural network model including extreme learning machine, back propagation neural network, and DNN. The test results indicate that the hybrid model with a network structure of 3 hidden layer layers, 32-16-8 neurons per hidden layer, and 0.1 learning rate has the best prediction accuracy and stronger generalization ability compared with other models. The predicted hit ratio of oxygen consumption volume within the error±300 m^(3)is 96.67%;determination coefficient (R^(2)) and root mean square error (RMSE) are0.6984 and 150.03 m^(3), respectively. The oxygen blow time prediction hit ratio within the error±0.6 min is 89.50%;R2and RMSE are0.9486 and 0.3592 min, respectively. As a result, the proposed model can effectively predict the oxygen consumption volume and oxygen blowing time in the converter. 展开更多
关键词 basic oxygen furnace oxygen consumption oxygen blowing time oxygen balance mechanism deep neural network hybrid model
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具非线性源的多孔介质方程解的Blow-up时间对初值的相依性
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作者 梁之磊 赵俊宁 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第6期746-748,共3页
考虑多孔介质方程的Dirichlet问题,讨论在解的Blow-up时间T有限的情况下,当初值出现一个小的扰动函数h(x)时,相应方程的Blow-up时间Th随之发生的变化情况,证明了Blow-up时间|T-Th|和‖h‖L1(Ω)之间连续相依性的结果,其中QT=Ω×(0,... 考虑多孔介质方程的Dirichlet问题,讨论在解的Blow-up时间T有限的情况下,当初值出现一个小的扰动函数h(x)时,相应方程的Blow-up时间Th随之发生的变化情况,证明了Blow-up时间|T-Th|和‖h‖L1(Ω)之间连续相依性的结果,其中QT=Ω×(0,T),0≤u0(x)∈L∞(Ω),h(x)∈L∞(Ω),ΩRN是一有界区域,其中对指标m,p的限制满足1<m<p. 展开更多
关键词 多孔介质方程 blow—up blow—up时间 强非线性源
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Measurement of solidprecipitation and blowing snow: current status and challenges
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作者 PAN Rui LIU Xichuan SHI Jiayi 《Advances in Polar Science》 CSCD 2024年第3期289-302,共14页
In this article,the relevant instruments and techniques for measuring solid precipitation and blowing snow are reviewed,with a focus on the in situ instrument measurements.Moreover,a literature review and specific obs... In this article,the relevant instruments and techniques for measuring solid precipitation and blowing snow are reviewed,with a focus on the in situ instrument measurements.Moreover,a literature review and specific observation activities for solid precipitation are provided,the working principles of several instruments are introduced,and the advantages and disadvantages,measurement performance,and specific application scenarios of the instruments are evaluated.Currently,there are numerous solid precipitation measurement instruments available,and the standardization and sustainability of these measurements also need to be considered.The purpose of the review is not to be exhaustive but to provide readers with information on the current status of the development of relevant technologies and the prospects for their application in the polar regions. 展开更多
关键词 solid precipitation blowing snow measurement instruments
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Blown Film Extrusion Process for Polybags: Technical Overview and Applications
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作者 Sunil Badgujar Sudeep Asthana +6 位作者 Ravindra Kanawade Krunal Suthar Ankit Solanki Karuppiah Nagaraj Mahaveer Singh Bilkhu Harekrushna Sutar Swapna Rekha Panda 《Advances in Chemical Engineering and Science》 CAS 2024年第4期188-201,共14页
The choice of extrusion process is a decisive factor that affects the finished product quality for polybag manufacturing. One important component influencing the quality of the finished product is the selection of the... The choice of extrusion process is a decisive factor that affects the finished product quality for polybag manufacturing. One important component influencing the quality of the finished product is the selection of the extrusion technique. Two popular procedures that vary in the kind of dye used and the final product’s texture are cast film and blown film. In the horizontal extrusion moulding method known as “cast film”, heated resin is injected into a flat dye and allowed to cool on chill rolls. The film produced is clear, lightweight, and appropriate for lamination;its thickness varies based on the winding speed and the film is slower to crystallize and has less clarity but more durability because the resin molecules have reoriented, facing limitation of high wastage generation. This study primarily focused on the preparation of polybag film using the blown film extrusion process, utilizing high-quality polymer resins such as polyester polyethylene (PP) and linear low-density polyethylene (LLDPE) to minimize waste generation. The novelty of the process was reflected in minimising the waste generation. The control parameters considered in this study are temperature, pressure, and air intake volume. We investigated the influence of these critical process control parameters on the gauge thickness, optical properties, and mechanical strength of the polybag film produced through blown film extrusion. Additionally, we replicated the blown film process using simulation software developed at Pennsylvania College of Technology. The simulation results confirmed the overall stability of the polybag film produced through the blown film extrusion process. 展开更多
关键词 LLDPE Melt Flow Index blow-Up Ratio Lay-Flat Width Draw-Down Ratio
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Exploration and Practice of Nitrogen Addition Process for LF Refining Ladle Bottom Blowing Nitrogen Steel Liquid
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作者 Maoin Hou Aiqing Ding 《Frontiers of Metallurgical Industry》 2024年第1期23-26,共4页
This article discusses and analyzes the law of nitrogen increase in liquid steel and the main factors affect-ing the nitrogen increasing of molten steel,through the way of adding nitrogen to molten steel by bottom blo... This article discusses and analyzes the law of nitrogen increase in liquid steel and the main factors affect-ing the nitrogen increasing of molten steel,through the way of adding nitrogen to molten steel by bottom blowing nitrogen gas in LF refining process.It is considered that the main factors affecting the nitrogen increasing instability of molten steel are the initial temperature of LF refining,nitrogen relative element,surface active elements[O]and[S]of steel liquid,and bottom blowing rate of ladle.The large-scale production practice shows that T[O]not more than 50×10-6 and[S]is not more than 0.020 in LF refining at the initial temperature of not less than 1570.The liquid steel nitrogen enrichment test is carried out by ladle bottom blowing nitrogen gas after 20 min of refining,the flow rate is set as(6.0~7.0)NL/min per ton,and it is turned to 2 NL/min at 6 min before the end of refining,the nitrogen increasing rate of liquid steel is basically stable at(5~6)×10-6 per minute. 展开更多
关键词 LF refine bottom blowing nitrogen gas nitrogen increase in liquid steel process practice
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非线性拟抛物方程解的Blow-up 被引量:1
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作者 徐润章 《哈尔滨理工大学学报》 CAS 2004年第4期122-123,126,共3页
用特征函数法分别研究了非线性拟抛物方程u_t—Δu_t=f(u,D_xu,D_x^2u),u_-Δu_t=-△y(u) 与u_t-Δu_t=f(u)+Δg(u)的初边值问题整体解的不存在性与有限时间Blow-up。
关键词 非线性拟抛物方程 初边值 整体解 不存在性 blow—up
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半线性拟抛物方程解的Blow-up
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作者 徐润章 刘亚成 《哈尔滨工程大学学报》 EI CAS CSCD 北大核心 2007年第8期947-948,954,共3页
研究一类半线性拟抛物方程的初边值问题.首先利用格林函数和最大值原理证明了解的正定性,而后,通过要求非线性项满足正定性条件和凹凸性条件,利用特殊函数法证明了方程正解的有限时间爆破.
关键词 半线性拟抛物方程 初边值 blow—up
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半线性拟抛物方程古典解的Blow-up问题
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作者 杜娟 钱妍 《哈尔滨师范大学自然科学学报》 CAS 2006年第3期17-18,共2页
研究了半线性拟抛物方程的初边值问题ut-Δut=f(u)x∈Ω,t>0(1.1)u(x,0)=u0(x),x∈Ω(1.2)u|Ω=0,t≥0(1.3)古典解的blow-up性.讨论了正解的存在性.研究了(1.1)^(1.3)的古典解u(x,t)的blow-up性,即存在T0≤(1+λ0)∫α∞g-1(x)ds使得... 研究了半线性拟抛物方程的初边值问题ut-Δut=f(u)x∈Ω,t>0(1.1)u(x,0)=u0(x),x∈Ω(1.2)u|Ω=0,t≥0(1.3)古典解的blow-up性.讨论了正解的存在性.研究了(1.1)^(1.3)的古典解u(x,t)的blow-up性,即存在T0≤(1+λ0)∫α∞g-1(x)ds使得limt→T0-‖u‖p=∞对1≤p≤∞. 展开更多
关键词 半线性拟抛物方程 初边值问题 古典解 blow—up.
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一类非线性拟抛物方程解的渐进性质与Blow-up
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作者 徐润章 《黑龙江大学自然科学学报》 CAS 北大核心 2005年第3期329-331,共3页
研究一类非线性拟抛物方程的初边值问题ut-Δut=f(u,u,2u)+φ(u,u)+Δg(u),u(x,0)=u0(x),uΩ=0本方程包含了从浅水波运动中提出的BBM方程,及其多维推广GBBM方程,Sobolev-Galpern方程及其多维推广,在双温度热传导理论中提出的方程等作为... 研究一类非线性拟抛物方程的初边值问题ut-Δut=f(u,u,2u)+φ(u,u)+Δg(u),u(x,0)=u0(x),uΩ=0本方程包含了从浅水波运动中提出的BBM方程,及其多维推广GBBM方程,Sobolev-Galpern方程及其多维推广,在双温度热传导理论中提出的方程等作为特殊情况.用积分估计方法,在某些条件下证明了此问题解的渐进性质与有限时间blow-up. 展开更多
关键词 非线性拟抛物方程 初边值 渐进性质 blow—up
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Thermodynamic behavior and morphology of impurities in metallurgical grade silicon in process of O_2 blowing 被引量:7
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作者 伍继君 马文会 +3 位作者 李彦龙 杨斌 刘大春 戴永年 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第1期260-265,共6页
Gas blowing is a valid method to remove the impurities from metallurgical grade silicon(MG-Si) melt.The thermodynamic behavior of impurities Fe,Al,Ca,Ti,Cu,C,B and P in MG-Si was studied in the process of O2 blowing... Gas blowing is a valid method to remove the impurities from metallurgical grade silicon(MG-Si) melt.The thermodynamic behavior of impurities Fe,Al,Ca,Ti,Cu,C,B and P in MG-Si was studied in the process of O2 blowing.The removal efficiencies of impurities in MG-Si were investigated using O2 blowing in ladle.It is found that the removal efficiencies are higher than 90% for Ca and Al and nearly 50% for B and Ti.The morphology of inclusions was analyzed and the phases Al3Ni,NiSi2 and Al3Ni were confirmed in MG-Si by X-ray diffraction.It was found that SiB4 exists in Si?B binary system.The chemical composition of inclusions in MG-Si before and after refining was analyzed by SEM-EDS.It is found that the amount of white inclusion reduces for the removal of most Al and Ca in the forms of molten slag inclusion and the contents of Fe,Ni and Mn in inclusion increase for their inertia in silicon melt with O2 blowing. 展开更多
关键词 metallurgical grade silicon THERMODYNAMICS O2 blowing IMPURITIES INCLUSION removal efficiency
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奇异半线性抛物方程初值问题解的存在性与不存在性,Blow-up问题及解的无限增长性 被引量:13
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作者 蹇素雯 杨凤藻 《数学物理学报(A辑)》 CSCD 北大核心 1997年第4期439-446,共8页
该文研究一类奇异半线性抛物方程初值问题的非负局部解存在与不存在的条件,解的BloW-Up问题及当t时解的无限增长性.
关键词 奇异半线性 抛物方程 算子半群 存在性 初值
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具非线性边界条件的拟线性抛物型方程解的Blow-up 被引量:10
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作者 张海亮 贾新春 《数学杂志》 CSCD 北大核心 2002年第2期195-198,共4页
本文考虑一类具非线性边界条件的拟线性抛物方程初边值问题解的整体性态 .通过构造与解有关的适当积分 ,利用“凸性方法”及非线性抛物型方程的极大值原理 ,证明了在某些条件下 ,问题的光滑解u(x ,t)只能在一个有界区间 (0 ,T0 )中存在 ... 本文考虑一类具非线性边界条件的拟线性抛物方程初边值问题解的整体性态 .通过构造与解有关的适当积分 ,利用“凸性方法”及非线性抛物型方程的极大值原理 ,证明了在某些条件下 ,问题的光滑解u(x ,t)只能在一个有界区间 (0 ,T0 )中存在 ,即有 :limt→T-0sup‖u(· ,t)‖ ∞ =+∞ . 展开更多
关键词 拟线性抛物型方程 非线性边界条件 凸性方法 blow-UP 最大值原理
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具Sobolev-Galpern型湿气迁移方程解的渐近性和Blow-up 被引量:11
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作者 陈宁 李崇新 《生物数学学报》 CSCD 2002年第3期305-310,共6页
本文在文献[1,2,3,4,6]的基础上,对具有Sobolev-Galpern型土壤中湿气迁移方程和更一般的非线性拟抛物型方程的初边值问题,在其解存在唯一的条件下,利用文献[5,7]的方法,深入探讨了相应问题解的渐近性和爆破现象,得到了许多新结果.
关键词 Sobolev-Galpern型 湿气迁移方程解 渐近性 渐近行为 爆破
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