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Hybrid model for BOF oxygen blowing time prediction based on oxygen balance mechanism and deep neural network
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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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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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Effect of gas blowing nozzle angle on multiphase flow and mass transfer during RH refining process 被引量:1
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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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带导数非线性项的耦合Tricomi方程组解的破裂
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作者 王晓东 明森 +1 位作者 韩伟 任翠 《中北大学学报(自然科学版)》 CAS 2024年第1期36-43,共8页
在空间维数n≥2时,研究带导数非线性项的耦合Tricomi方程组的小初值问题。通过定义问题的能量解并构造适当的检验函数,得到关于解的积分泛函的不等式。根据非线性项指数的范围将解的性态研究分为次临界情形及临界情形。在次临界情形利... 在空间维数n≥2时,研究带导数非线性项的耦合Tricomi方程组的小初值问题。通过定义问题的能量解并构造适当的检验函数,得到关于解的积分泛函的不等式。根据非线性项指数的范围将解的性态研究分为次临界情形及临界情形。在次临界情形利用改进的Kato引理,在临界情形利用迭代方法,证明了问题的解会在有限时间破裂。同时,在次临界情形得到幂次形式解的生命跨度的上界估计,在临界情形得到指数形式解的生命跨度的上界估计,推广了现有文献的结论。 展开更多
关键词 导数非线性项 耦合Tricomi方程 Kato引理 迭代方法 破裂 生命跨度
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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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修正Kawahara方程的收敛问题与色散爆破
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作者 王伟敏 闫威 《数学物理学报(A辑)》 CSCD 北大核心 2024年第3期595-608,共14页
该文主要研究修正Kawahara方程的收敛问题与色散爆破.首先,利用傅里叶限制范数法,高低频分解技巧以及Strichartz估计,用三种不同的方法证明在空间H^(s)(R)(s≥1/4)中,对几乎处处的x∈R,当t→0时,u(x,t)→u0(x),其中u(x,t)是修正Kawahar... 该文主要研究修正Kawahara方程的收敛问题与色散爆破.首先,利用傅里叶限制范数法,高低频分解技巧以及Strichartz估计,用三种不同的方法证明在空间H^(s)(R)(s≥1/4)中,对几乎处处的x∈R,当t→0时,u(x,t)→u0(x),其中u(x,t)是修正Kawahara方程的解,u0(x)是其柯西问题的初值.其次,利用三线性估计和傅里叶限制范数法,证明在空间H^(s)(R)(s>0)中,当t→0时,u(x,t)→U(t)u0(x)(与x无关).最后,给出方程解的色散爆破. 展开更多
关键词 修正 Kawahara 方程 逐点收敛 一致收敛 色散爆破
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Schwarzschild时空中带记忆项的波动方程耦合方程组解的奇性
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作者 明森 郝江浩 杜嘉仪 《数学年刊(A辑)》 CSCD 北大核心 2024年第1期71-96,共26页
本文研究Schwarzschild时空中非线性波动方程耦合方程组的Cauchy问题解的破裂性态.问题的非线性项包含混合型记忆项、组合和幂次型记忆项、组合和导数型记忆项以及组合型记忆项.当非线性项的指数满足一定假设时,利用迭代方法建立解的生... 本文研究Schwarzschild时空中非线性波动方程耦合方程组的Cauchy问题解的破裂性态.问题的非线性项包含混合型记忆项、组合和幂次型记忆项、组合和导数型记忆项以及组合型记忆项.当非线性项的指数满足一定假设时,利用迭代方法建立解的生命跨度的上界估计.创新之处是在Schwarzschild度量下分析非线性记忆项对解的生命跨度估计的影响.据已有文献所知,定理1.1-1.4中的结果是新的. 展开更多
关键词 耦合方程组 记忆项 迭代方法 破裂 生命跨度估计
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具变指数非线性项的强阻尼波动方程的爆破
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作者 李海霞 曹春玲 《吉林大学学报(理学版)》 CAS 北大核心 2024年第1期78-86,共9页
考虑一类具变指数非线性项的强阻尼波动方程的有限时刻爆破.借助凹方法和适当选取的参数,给出该问题的一个新的爆破准则,并给出爆破时间的上下界估计.结果表明,该爆破准则特别蕴含对任意高的初始能量,该问题存在有限时刻爆破解.
关键词 强阻尼 波方程 变指数非线性项 爆破
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一类推广了的非线性Schrdinger方程初边值解的blow-up 被引量:2
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作者 赵军生 郭巧栋 +1 位作者 杨海鸥 徐润章 《黑龙江大学自然科学学报》 CAS 北大核心 2008年第2期170-172,177,共4页
研究一类推广了的非线性Schrdinger方程的初边值问题ut-iΔu=f(u,Dxu,D2xu)+Δg(u),u(x,0)=u0(x),uΩ=0.作为ut-iΔu=f(u,Dxu,D2xu)及ut-iΔu=-Δg(u)的推广,用特征函数法,在某些条件下,证明了此问题整体解的不存在性与有限时间blow-up.
关键词 非线性Schriōdinger方程 特征函数法 初边值 blow-UP
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超临界CO_(2)管道瞬态输送工艺研究进展及方向 被引量:3
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作者 李欣泽 袁亮 +7 位作者 张超 王梓丞 邢晓凯 熊小琴 陈晓玲 尚妍 张文辉 陈潜 《大庆石油地质与开发》 CAS 北大核心 2024年第1期22-32,共11页
长距离超临界CO_(2)管道瞬态输送的核心技术还有待突破,相关模型和方法亟需工业规模示范工程的验证及修正。以成就型综述法,对超临界CO_(2)管道输送过程中停输、水击、泄漏和放空工况下形成的CO_(2)瞬态流加以描述、成果比较和综合评价... 长距离超临界CO_(2)管道瞬态输送的核心技术还有待突破,相关模型和方法亟需工业规模示范工程的验证及修正。以成就型综述法,对超临界CO_(2)管道输送过程中停输、水击、泄漏和放空工况下形成的CO_(2)瞬态流加以描述、成果比较和综合评价。结果表明:超临界CO_(2)瞬态流的关键因素是温度、压力、相态变化、协同作用;超临界CO_(2)管道安全停输时间可定义为从停输开始至管内任一点流体即将进入气液共存区的时间;CO_(2)发生相变首先造成流速突变,进而是压力的突变,产生水击现象,引起新的瞬变流动;站场放空系统的设计目标是在放空过程不出现冰堵、材料冷脆、噪声污染、放空系统激振等问题的前提下,放空时间尽量短;埋地管道泄漏规律涉及到土壤渗流场、温度场、浓度场等多场耦合问题。研究结果可为超临界CO_(2)管道流动安全保障提供参考。 展开更多
关键词 CO_(2)管输 瞬变特性 停输再启动 水击 放空 泄漏 相变
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含奇异势和记忆项的四阶抛物方程解的整体存在性与爆破
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作者 杜欣蕾 杨晗 《应用数学》 北大核心 2024年第1期214-225,共12页
本文研究一类具有奇异势和记忆项的四阶抛物方程在有界域上的初边值问题.当初值在稳定集中,初始能量在正有界范围内,根据Faedo-Galerkin方法结合Hardy-Sobolev不等式得到了问题解的整体存在性并建立了能量泛函的衰减估计;当初始能量为负... 本文研究一类具有奇异势和记忆项的四阶抛物方程在有界域上的初边值问题.当初值在稳定集中,初始能量在正有界范围内,根据Faedo-Galerkin方法结合Hardy-Sobolev不等式得到了问题解的整体存在性并建立了能量泛函的衰减估计;当初始能量为负时,利用凸方法证明了问题的解在有限时刻爆破并估计了爆破时间上界,该上界依赖于初始能量;当初值位于不稳定集,初始能量有上界时,通过构造辅助泛函获得了一个与初始能量无关的爆破时间上界. 展开更多
关键词 四阶抛物方程 奇异势项 记忆项 整体解 爆破
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爆破型Volterra积分微分方程的高精度计算
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作者 贾成旺 王雨轩 王同科 《应用数学》 北大核心 2024年第3期792-804,共13页
本文求解爆破型非线性Volterra积分微分方程,使用Picard迭代求出解在初始点的有限项分数阶级数展开式.使用级数解分离出方程的初始奇点,提出一种高效的Chebyshev配置法.对于爆破问题,使用待定系数法得到方程解在爆破时刻的渐近展开式主... 本文求解爆破型非线性Volterra积分微分方程,使用Picard迭代求出解在初始点的有限项分数阶级数展开式.使用级数解分离出方程的初始奇点,提出一种高效的Chebyshev配置法.对于爆破问题,使用待定系数法得到方程解在爆破时刻的渐近展开式主项,并把级数解Padé逼近分母的最小正根作为爆破时间的初步估计,进一步通过积分或微分变换提高爆破时间的预测精度.最后,数值算例验证级数解、Chebyshev配置解和爆破时间预测方法的正确性和有效性. 展开更多
关键词 积分微分方程 级数解 PADÉ逼近 Chebyshev配置法 爆破时间估计
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一类快速扩散方程解的积分型极值原理及其在区域边界上的Blow up 被引量:2
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作者 曹镇潮 辜联昆 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 1991年第4期355-360,共6页
证明了对一类快速扩做方程(|u(x,t)|^(n-1)·u),-△u+c(x,t)·u=0的第三非线性初-边俘问题的古典解满足积分型极值原理,并由此推出如果全局解不存在,那么解必在区域边界上Blow up。
关键词 扩散方程 极值原理 边界 爆破
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非线性Klein-Gordon方程解的Blow-up 被引量:3
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作者 张健 杜心华 《四川师范大学学报(自然科学版)》 CAS CSCD 1989年第2期1-6,共6页
本文讨论非线性Klein-Gordon 方程的混合问题{u(■)—△u+u=F(u,Du,D_xDu) (t,x)∈(0,T)×Ωu(0,x)=h(x) u_t(0,x)=g(x),x∈Ω■u/■v=0■在F(u,Du,D_xDu)≥p sum from i=1 to n u_(X_i)~2+qu_t^2+u 这里(p>0,q>0) 及■_■■^... 本文讨论非线性Klein-Gordon 方程的混合问题{u(■)—△u+u=F(u,Du,D_xDu) (t,x)∈(0,T)×Ωu(0,x)=h(x) u_t(0,x)=g(x),x∈Ω■u/■v=0■在F(u,Du,D_xDu)≥p sum from i=1 to n u_(X_i)~2+qu_t^2+u 这里(p>0,q>0) 及■_■■^(ph)(x)×g(x)dx>0时,得到该问题的解在有限时间内爆破. 展开更多
关键词 非线性KLEIN-GORDON方程 解的爆破
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半线性抛物方程初边值问题解的Blow up 被引量:15
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作者 查中伟 《应用数学》 CSCD 北大核心 1992年第1期82-87,共6页
本文考虑了一类半线性抛物型方程的第三类非线性初边值问题,在某些假设条件下,证明了其解在有限时间内Blow up.
关键词 抛物型方程 初边值问题 blow-UP
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