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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:2
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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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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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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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Effect of gas blowing nozzle angle on multiphase flow and mass transfer during RH refining process 被引量:2
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作者 Jiahao Wang Peiyuan Ni +2 位作者 Chao Chen Mikael Ersson Ying Li 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2023年第5期844-856,共13页
A three-dimensional mathematical model was developed to investigate the effect of gas blowing nozzle angles on multiphase flow,circulation flow rate,and mixing time during Ruhrstahl-Heraeus(RH) refining process.Also,a... A three-dimensional mathematical model was developed to investigate the effect of gas blowing nozzle angles on multiphase flow,circulation flow rate,and mixing time during Ruhrstahl-Heraeus(RH) refining process.Also,a water model with a geometric scale of 1:4 from an industrial RH furnace of 260 t was built up,and measurements were carried out to validate the mathematical model.The results show that,with a conventional gas blowing nozzle and the total gas flow rate of 40 L·min^(-1),the mixing time predicted by the mathematical model agrees well with the measured values.The deviations between the model predictions and the measured values are in the range of about 1.3%–7.3% at the selected three monitoring locations,where the mixing time was defined as the required time when the dimensionless concentration is within 3% deviation from the bath averaged value.In addition,the circulation flow rate was 9 kg·s^(-1).When the gas blowing nozzle was horizontally rotated by either 30° or 45°,the circulation flow rate was found to be increased by about 15% compared to a conventional nozzle,due to the rotational flow formed in the up-snorkel.Furthermore,the mixing time at the monitoring point 1,2,and 3 was shortened by around 21.3%,28.2%,and 12.3%,respectively.With the nozzle angle of 30° and 45°,the averaged residence time of 128 bubbles in liquid was increased by around 33.3%. 展开更多
关键词 Ruhrstahl-Heraeus refining gas blowing nozzle angle circulation flow rate mixing time multiphase flow
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Successful treatment of a rare subcutaneous emphysema after a blow-out fracture surgery using needle aspiration:A case report 被引量:1
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作者 Ha-Jong Nam Syeo-Young Wee 《World Journal of Clinical Cases》 SCIE 2023年第9期2110-2115,共6页
BACKGROUND Many cases of emphysema associated with blow-out fractures occur before surgery due to trauma.However,emphysema can occur even after surgery,and most of such cases are managed conservatively and allowed to ... BACKGROUND Many cases of emphysema associated with blow-out fractures occur before surgery due to trauma.However,emphysema can occur even after surgery,and most of such cases are managed conservatively and allowed to resolve.Swelling in the periorbital area due to emphysema that occurs after surgery can make early recovery difficult.CASE SUMMARY Herein,we describe a case of postoperative subcutaneous emphysema that was treated using a simple needle aspiration method.A 48-year-old male patient visited the hospital with a blow-out fracture of the left medial orbital wall and nasal bone fracture.One day postoperatively,swelling and crepitus in the left periorbital area were observed,and follow-up computed tomography showed emphysema in the left periorbital subcutaneous area.Needle aspiration using an 18-gauge needle and syringe was used to relieve the emphysema.The symptoms of sudden swelling improved immediately,and no recurrence was observed.CONCLUSION We conclude that needle aspiration is a useful method that could help in relieving symptom,resolving discomfort,and enabling early return to daily life in patients with postoperative subcutaneous emphysema. 展开更多
关键词 blow out fracture Subcutaneous emphysemas Mechanical aspiration Case report
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Eco-friendly physical blowing agent mass loss of bio-based polyurethane rigid foam materials
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作者 Haozhen Wang Lin Lin Yingshu Liu 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2023年第4期782-789,共8页
Through systematical experiment design, the physical blowing agent(PBA) mass loss of bio-based polyurethane rigid foam(PURF)in the foaming process was measured and calculated in this study, and different eco-friendly ... Through systematical experiment design, the physical blowing agent(PBA) mass loss of bio-based polyurethane rigid foam(PURF)in the foaming process was measured and calculated in this study, and different eco-friendly PBA mass losses were measured quantitatively for the first time. The core of the proposed method is to add water to replace the difference, and this method has a high fault tolerance rate for different foaming forms of foams. The method was proved to be stable and reliable through the standard deviations σ1and σ2for R1(ratio of the PBA mass loss to the material total mass except the PBA) and R2(ratio of the PBA mass loss to the PBA mass in the material total mass) in parallel experiments. It can be used to measure and calculate the actual PBA mass loss in the foaming process of both bio-based and petroleumbased PURF. The results show that the PBA mass loss in PURF with different PBA systems is controlled by its initial mass content of PBA in PU materials ω. The main way for PBA to dissipate into the air is evaporation/escape along the upper surface of foam. This study further reveals the mechanism of PBA mass loss: the evaporation/escape of PBA along the upper surface of foam is a typical diffusion behavior. Its spread power comes from the difference between the chemical potential of PBA in the interface layer and that in the outside air. For a certain PURF system, R1has approximately linear relationship with the initial mass content of PBA in PU materials ω, which can be expressed by the functional relationship R1= kω, where k is a variable related to PBA’s own attributes. 展开更多
关键词 POLYURETHANE bio-based polyol eco-friendly physical blowing agent mass loss
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伪抛物型p-Kirchhoff方程的爆破解
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作者 李锋杰 李平 《数学物理学报(A辑)》 CSCD 北大核心 2024年第3期717-736,共20页
该文研究了一类具有变指数的伪抛物型p-Kirchhoff方程的齐次Dirichlet初边值问题.首先,采用改进的势阱法和辅助函数法,对初始能量进行最优分类,得到解的爆破和整体存在的判据.其次,分别得到了解的爆破时间估计和整体解的大时间性态.
关键词 伪抛物型p-Kirchhoff方程 大时间性态 爆破时间 初始能量 变指数
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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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一类具有时变系数源项和应变项的半线性四阶波动方程解的高能爆破现象
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作者 赵元章 徐文静 《应用数学》 北大核心 2024年第4期924-934,共11页
本文侧重研究一类具有时变系数源项和非线性应变项的半线性四阶波动方程Dirichlet及Navier初边值问题.利用非稳定集的不变性、反证法技巧及凹性引理,给出任意正初始能量级E(0)>0下解的有限时刻爆破结果.
关键词 四阶波动方程 时变系数源 应变项 高能爆破
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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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