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Convergence Issues Associated with Cutoff Energies and Ab Initio Studies of Adsorption of CO on W and Pt
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作者 Sathya Hanagud Roussislava Zaharieva 《Journal of Materials Science and Chemical Engineering》 2024年第3期1-8,共8页
The experimental research programs of 1950s, to understand the adsorption of CO on W surfaces, changed to ab initio studies in 2000s. The goals were to seek improved practical applications. Most of the studies were ba... The experimental research programs of 1950s, to understand the adsorption of CO on W surfaces, changed to ab initio studies in 2000s. The goals were to seek improved practical applications. Most of the studies were based on density functional theory. Many studies also used programs, such as VASP (Vienna Abinitio simulation package) and CPMD. The computational procedures used plane wave approximations. This needed studies with selection of K points and cutoff energy selection to assure convergence in energy calculations. Observations and analysis of papers published from 2006 to 2022 indicate that the cutoff energies were selected arbitrarily without any needed convergence studies. By selecting a published 2006 paper, this paper has clearly showed that an arbitrary selection of cutoff energy, such as 460 eV, is not in the range of, cutoff energies that assure convergence of energy calculations, with ab initio methods and have indicated correction procedures. . 展开更多
关键词 CO Adsorption Tungsten and Pt surfaces cutoff energy Selection Convergence of Ab Initio energy
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A Dual Source Power Based EV Wireless Charging System
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作者 NAQVI Syed Zohair Raza XIAO Lan JIANG Menghan 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2024年第S01期35-42,共8页
Recently,there has been a huge increase in the usage of fuel resources for automobiles which is severely affecting the climate and causing global warming.The use of electric vehicle(EV)is an effective way to protect t... Recently,there has been a huge increase in the usage of fuel resources for automobiles which is severely affecting the climate and causing global warming.The use of electric vehicle(EV)is an effective way to protect the environment and reduce travel costs.However,the EV charging system has a single charging source,and the charging rate is limited.In this paper,an EV wireless charging system based on dual source power supply has been developed.It realizes intelligent switching between 12 V photovoltaic output and 220 V AC dual source power,and has wireless transmission function.Based on the proposed power supply architecture,the micro wireless charging model is built,which enables the EV model to store power and realize static and mobile control through the wireless induction charging system. 展开更多
关键词 renewable energy inductive coupling inductive charging CONVERTERS automatic changeover auto cutoff circuit
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A Model of Dark Matter and Dark Energy Based on Relativizing Newton’s Physics 被引量:2
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作者 Ramzi Suleiman 《World Journal of Condensed Matter Physics》 2018年第3期130-155,共26页
The nature and properties of dark matter and dark energy in the universe are among the outstanding open issues of modern cosmology. Despite extensive theoretical and empirical efforts, the question “what is dark matt... The nature and properties of dark matter and dark energy in the universe are among the outstanding open issues of modern cosmology. Despite extensive theoretical and empirical efforts, the question “what is dark matter made of?” has not been answered satisfactorily. Candidates proposed to identify particle dark matter span over ninety orders of magnitude in mass, from ultra-light bosons, to massive black holes. Dark energy is a greater enigma. It is believed to be some kind of negative vacuum energy, responsible for driving galaxies apart in accelerated motion. In this article we take a relativistic approach in theorizing about dark matter and dark energy. Our approach is based on our recently proposed Information Relativity theory. Rather than theorizing about the identities of particle dark matter candidates, we investigate the relativistic effects on large scale celestial structures at their recession from an observer on Earth. We analyze a simplified model of the universe, in which large scale celestial bodies, like galaxies and galaxy clusters, are non-charged compact bodies that recede rectilinearly along the line-of-sight of an observer on Earth. We neglect contributions to dark matter caused by the rotation of celestial structures (e.g., the rotation of galaxies) and of their constituents (e.g., rotations of stars inside galaxies). We define the mass of dark matter as the complimentary portion of the derived relativistic mass, such that at any given recession velocity the sum of the two is equal to the Newtonian mass. The emerging picture from our analysis could be summarized as follows: 1) At any given redshift, the dark matter of a receding body exists in duality to its observable matter. 2) The dynamical interaction between the dark and the observed matter is determined by the body’s recession velocity (or redshift). 3) The observable matter mass density decreases with its recession velocity, with matter transforming to dark matter. 4) For redshifts z 0.5 the universe is dominated by dark matter. 5) Consistent with observational data, at redshift z = 0.5, the densities of matter and dark matter in the universe are predicted to be equal. 6) At redshift equaling the Golden Ratio (z ≈ 1.618), baryonic matter undergoes a quantum phase transition. The universe at higher redshifts is comprised of a dominant dark matter alongside with quantum matter. 7) Contrary to the current conjecture that dark energy is a negative vacuum energy that might interact with dark matter, comparisons of our theoretical results with observational results of ΛCDM cosmologies, and with observations of the relative densities of matter and dark energy at redshift z ≈ 0.55, allow us to conclude that dark energy is the energy carried by dark matter. 8) Application of the model to the case of rotating bodies, which will be discussed in detail in a subsequent paper, raises the intriguing possibility that the gravitational force between two bodies of mass is mediated by the entanglement of their dark matter components. 展开更多
关键词 DARK Matter DARK energy GZK COSMIC RAYS cutoff ΛCDM Cosmology COINCIDENCE Problem Quantum Phase Transition Gravity Golden Ratio
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Ultra High Energy Cosmic Rays: Spectral Signatures and Observations
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作者 Svetlana Grigorieva 《Journal of Physical Science and Application》 2014年第6期393-397,共5页
The observations of Ultra High Energy Cosmic Rays (UHECR) are renewed, focusing on the energy spectra as measured by HiRes, Telescope Array (TA) and Auger detectors (PAO). It is found that highest energy Auger s... The observations of Ultra High Energy Cosmic Rays (UHECR) are renewed, focusing on the energy spectra as measured by HiRes, Telescope Array (TA) and Auger detectors (PAO). It is found that highest energy Auger steepening does not agree with GZK cutoff, which is most probably explained by the nuclei mass composition detected by Auger. At present the difference in mass composition in Auger and HiRes/TA data remains the main unsolved problem of UHECR origin. 展开更多
关键词 Ultrahigh energy cosmic ray origin CMB radiation GZK cutoff.
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混合型本安电路短路瞬态能量分析
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作者 聂鸿霖 许春雨 +4 位作者 宋建成 田慕琴 宋单阳 杨永锴 张晓海 《工矿自动化》 CSCD 北大核心 2023年第7期120-125,共6页
目前针对本安电路本安特性的研究大多以IEC火花实验装置为实验平台,仅对单一电容电路或电感电路的放电特性进行分析,存在适用性差、实验条件要求高等问题,缺少对混合型本安电路本安特性的研究。针对该问题,在GB/T 3836.4—2010《爆炸性... 目前针对本安电路本安特性的研究大多以IEC火花实验装置为实验平台,仅对单一电容电路或电感电路的放电特性进行分析,存在适用性差、实验条件要求高等问题,缺少对混合型本安电路本安特性的研究。针对该问题,在GB/T 3836.4—2010《爆炸性环境第4部分:由本质安全型“i”保护的设备》的基础上,以截流型保护方式下的混合型电路为实验对象进行短路瞬态能量实验,通过分析短路瞬态能量释放过程,建立了短路瞬态能量数学模型,分析了等效数学模型中电容、电感、电源电压和保护时间对短路瞬态能量的影响。Matlab仿真结果表明:随着电容和电感的增大,短路瞬态能量会逐渐增大,最后趋于一个稳定值;增大电源电压会显著增加短路瞬态能量;缩短动作保护时间可有效降低瞬态能量,但只有当保护时间小于临界时间时其作用才明显。基于短路瞬态能量数学模型开发了本安电源,进行了短路实验。实验结果表明:短路电流和电压波形与理论分析基本吻合,短路瞬态能量为33.22µJ,符合本安要求,可为本安电源的设计提供参考。 展开更多
关键词 混合型电路 本安电路 截流型短路保护 短路瞬态能量 保护动作时间 本安电源
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平抑风电功率波动混合储能系统容量优化方法 被引量:4
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作者 庞明 史仪凯 +2 位作者 袁小庆 王草山 庞顺 《西北工业大学学报》 EI CAS CSCD 北大核心 2016年第3期493-498,共6页
风力发电输出功率具有随机性、间歇性等特点,为减小功率波动对电网的影响,提出了平抑风电功率波动混合储能系统容量配置方法。以样本输出功率数据频谱分析结果为基础,结合有功功率波动率约束,计算出储能吸收最佳截止频率与系统期望输出... 风力发电输出功率具有随机性、间歇性等特点,为减小功率波动对电网的影响,提出了平抑风电功率波动混合储能系统容量配置方法。以样本输出功率数据频谱分析结果为基础,结合有功功率波动率约束,计算出储能吸收最佳截止频率与系统期望输出功率,进而得到储能最小吸收功率;根据不同类型储能系统特点及安全运行要求选择电池和超级电容器工作频段范围所需最小容量。采用风电场实际数据及国标GB/T 19963-2011,对该方法进行了验证。算例结果表明,采用该方法能够以较小的容量将风机输出最大波动率由74.055%降到32.227%。 展开更多
关键词 风力波动 混合储能 储能容量 平滑功率 频谱分析 截止频率 优化方法
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红外激光与远紫外激光场驱动H_2^+辐射谐波 被引量:2
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作者 刘航 李义 冯立强 《激光技术》 CAS CSCD 北大核心 2018年第2期145-150,共6页
为了了解H_2^+谐波辐射的过程,采用数值求解非玻恩-奥本海默近似薛定谔方程的方法,理论研究了H_2^+在10fs/800nm红外激光与6fs/30nm远紫外激光驱动下谐波辐射的特点。结果表明,谐波辐射的贡献主要来源于拉比振荡、多光子共振电离、电荷... 为了了解H_2^+谐波辐射的过程,采用数值求解非玻恩-奥本海默近似薛定谔方程的方法,理论研究了H_2^+在10fs/800nm红外激光与6fs/30nm远紫外激光驱动下谐波辐射的特点。结果表明,谐波辐射的贡献主要来源于拉比振荡、多光子共振电离、电荷共振增强电离以及离解态电离;随着远紫外光的加入,谐波光谱呈现能量间隔为远紫外光子能量的多重谐波截止结构;当远紫外光与红外激光的延迟时间大于零或小于零时,谐波光谱呈现红移和蓝移的现象。该研究对理解分子谐波辐射过程是有帮助的。 展开更多
关键词 激光光学 薛定谔方程 高次谐波 多重谐波截止能量 谐波调频
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铁路货车蛇行失稳评判限值的研究 被引量:6
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作者 田光荣 《中国铁道科学》 EI CAS CSCD 北大核心 2016年第5期87-93,共7页
分析国内外既有铁道车辆蛇行失稳评判方法和标准的差异,并结合现场实测数据的分析表明,从时域和频域看,即使构架(侧架)的横向加速度已显现出货车蛇行失稳的特征,可按照既有国内方法和标准进行评判得到的结果却是不超安全限值。对比实测... 分析国内外既有铁道车辆蛇行失稳评判方法和标准的差异,并结合现场实测数据的分析表明,从时域和频域看,即使构架(侧架)的横向加速度已显现出货车蛇行失稳的特征,可按照既有国内方法和标准进行评判得到的结果却是不超安全限值。对比实测的车轮磨耗踏面和标准的LM型车轮踏面与60kg·m^(-1)钢轨匹配下的轮轨接触关系和等效锥度,表明车轮踏面的运用状态会影响蛇行运动频率;对比滤波截止频率分别取3~9,10和15Hz时对应的构架(侧架)横向加速度时域曲线和频域曲线后,建议将铁路货车构架(侧架)横向加速度的滤波截止频率调整为0.5~15Hz;对比构架(侧架)横向加速度的实测值与国内外评判标准和方法规定的安全限值,建议将构架(侧架)横向加速度的安全限值由目前的8m·s^(-2)调整为6m·s^(-2)。另外,在评判货车蛇行失稳时还应考虑构架(侧架)横向加速度的幅值和对应频率的能量集中率。 展开更多
关键词 铁路货车 蛇行失稳 横向加速度 安全限值 滤波截止频率 振动能量法
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自适应截断方法在光子电子能量沉积计算中的应用
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作者 邱有恒 应阳君 +1 位作者 王敏 陈行良 《计算物理》 EI CSCD 北大核心 2011年第3期317-322,共6页
在光子与电子沉积能的数值计算中,电子截断能的高低显著地影响计算效率与精度.关于电子截断能的选取,目前没有统一的标准.给出一种根据网格尺度、网格材料与电子位置自适应确定电子截断能的方法.自适应截断方法以电子在网格中的剩余总... 在光子与电子沉积能的数值计算中,电子截断能的高低显著地影响计算效率与精度.关于电子截断能的选取,目前没有统一的标准.给出一种根据网格尺度、网格材料与电子位置自适应确定电子截断能的方法.自适应截断方法以电子在网格中的剩余总行程小于其到网格界面的最短距离作为截断条件.同MCNP程序自带的CUT方式相比,自适应方法的计算精度与效率更高.最重要的是,对任意能量、网格尺寸的模型,自适应方法均可胜任,完全无需人为判断. 展开更多
关键词 能量沉积 X射线 放射医疗 截断
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建筑节能技术在山东德州“新湖春天”工程中的应用 被引量:1
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作者 徐玉虎 《建筑节能》 CAS 2008年第7期68-70,共3页
结合德州新湖春天节能建筑的工程实例,分析节能材料在围护结构各部位的应用,介绍了外墙外保温技术、LOW—E镀膜反辐射中空玻璃、屋顶地面保温技术、地热-太阳能热水技术、太阳能光伏电技术、地板辐射采暖技术、地热梯级利用等节能技术... 结合德州新湖春天节能建筑的工程实例,分析节能材料在围护结构各部位的应用,介绍了外墙外保温技术、LOW—E镀膜反辐射中空玻璃、屋顶地面保温技术、地热-太阳能热水技术、太阳能光伏电技术、地板辐射采暖技术、地热梯级利用等节能技术的综合利用,并简略叙述了该项目所具有的推广价值。通过工程实践证明,建筑节能技术的应用将产生良好的经济效益和社会效益。 展开更多
关键词 外墙外保温 断桥铝合金 太阳能 地热梯级利用 回灌
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激光瞬时频率对谐波截止能量的影响
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作者 冯立强 刘航 杨大佐 《辽宁工业大学学报(自然科学版)》 2020年第1期40-42,56,共4页
利用啁啾调频技术理论研究了双色激光场瞬时频率对谐波截止能量的影响。结果表明:当激光场瞬时频率减小时,谐波截止能量得到有效延伸。尤其是当双色场瞬时频率都减小的情况下,谐波截止能量可以进一步延伸。当激光场瞬时频率增大时,谐波... 利用啁啾调频技术理论研究了双色激光场瞬时频率对谐波截止能量的影响。结果表明:当激光场瞬时频率减小时,谐波截止能量得到有效延伸。尤其是当双色场瞬时频率都减小的情况下,谐波截止能量可以进一步延伸。当激光场瞬时频率增大时,谐波截止能量减小。通过谐波辐射三步模型理论及谐波辐射时频分析图给出了谐波截止能量随激光瞬时频率变化的原因。 展开更多
关键词 激光瞬时频率 高次谐波 谐波截止能量 三步模型
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基于离散傅里叶变换的微电网混合储能容量优化 被引量:17
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作者 武志锴 许言路 +4 位作者 蒋理 李占军 李成 孟明 吴亚帆 《华北电力大学学报(自然科学版)》 CAS 北大核心 2018年第2期32-38,共7页
针对并网型微电网中由蓄电池和超级电容组成的混合储能系统进行容量的优化配置。光伏发电和负荷之间产生的净负荷功率由大电网和混合储能装置来共同进行平抑。建立一个俩阶段混合储能容量优化的数学模型,利用离散傅里叶变换对微电网中... 针对并网型微电网中由蓄电池和超级电容组成的混合储能系统进行容量的优化配置。光伏发电和负荷之间产生的净负荷功率由大电网和混合储能装置来共同进行平抑。建立一个俩阶段混合储能容量优化的数学模型,利用离散傅里叶变换对微电网中产生的净负荷功率进行分解,第一阶段在满足联络线功率波动要求的基础上来选取联络线功率和混合储能系统功率的分界点使得联络线利用率最高的;第二阶段以混合储能容量配置的经济成本最低为目标选取蓄电池功率和超级电容功率的分界点;从而得到联络线、蓄电池和超级电容的功率分配。利用遗传算法对混合储能容量的优化模型进行求解,得到最优的混合储能容量的配置。通过算例进行了验证分析。 展开更多
关键词 混合储能 离散傅里叶变换 联络线利用率 分界点
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中心凹陷W型光纤截止特性的研究
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作者 宋鹏 季敏宁 余燕 《激光杂志》 CAS CSCD 北大核心 2010年第6期37-39,共3页
对中心凹陷W型光纤严格按照矢量法,利用光场的电磁边界连续条件建立解析模型得到特征方程,通过数值计算分析了凹陷深度和宽度对中心凹陷W型光纤的基膜HE11和高次模TE01截止波长、单模工作区间和基膜能量损耗的影响,并与相同结构参数的W... 对中心凹陷W型光纤严格按照矢量法,利用光场的电磁边界连续条件建立解析模型得到特征方程,通过数值计算分析了凹陷深度和宽度对中心凹陷W型光纤的基膜HE11和高次模TE01截止波长、单模工作区间和基膜能量损耗的影响,并与相同结构参数的W型光纤进行了比较。 展开更多
关键词 中心凹陷W型光纤 截止波长 能量损耗
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纳米结构下激光波长对谐波截止能量的影响
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作者 王佳乐 栗博文 +1 位作者 刘航 冯立强 《辽宁工业大学学报(自然科学版)》 2020年第3期199-200,210,共3页
通过求解薛定谔方程研究了纳米结构下谐波截止能量随激光激光波长的变化规律。结果表明,当非均匀参数为0时,即无纳米结构时,谐波截止能量Ecutoff与波长λ的关系为Ecutoff^∝λ^2.0。当非均匀参数为0.001和0.002时,谐波截止能量得到延伸... 通过求解薛定谔方程研究了纳米结构下谐波截止能量随激光激光波长的变化规律。结果表明,当非均匀参数为0时,即无纳米结构时,谐波截止能量Ecutoff与波长λ的关系为Ecutoff^∝λ^2.0。当非均匀参数为0.001和0.002时,谐波截止能量得到延伸。其与波长的关系分别为Ecutoff^∝λ^3.2和Ecutoff^∝λ^4.5。并且谐波截止能量在特定的纳米结构下存在阈值。 展开更多
关键词 谐波截止能量 非均匀激光场 激光波长 纳米结构
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电子回旋脉泽不稳定性驱动的太阳射电辐射机制
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作者 唐建飞 吴德金 《天文学进展》 CSCD 北大核心 2010年第2期128-143,共16页
在解释天体爆发过程中的短时标相干射电辐射现象方面,非热电子驱动的回旋脉泽辐射得到了广泛应用。在以往的研究中,一个关键条件是非热电子具有各向异性速度分布,从而有效激发回旋脉泽不稳定性。然而,观测显示太阳和其他天体的非热电子... 在解释天体爆发过程中的短时标相干射电辐射现象方面,非热电子驱动的回旋脉泽辐射得到了广泛应用。在以往的研究中,一个关键条件是非热电子具有各向异性速度分布,从而有效激发回旋脉泽不稳定性。然而,观测显示太阳和其他天体的非热电子经常呈现负幂律谱形式的能量分布。非热电子的这种负幂律能谱特征会严重抑制回旋脉泽不稳定性放大率,因此,进一步研究非热电子的负幂律能谱分布行为,能拓宽电子回旋脉泽辐射机制的适用性,很好地发展天体射电辐射机制理论。最近研究结果显示,负幂律谱电子的低能截止行为可以有效地激发电子回旋脉泽辐射,从而拓宽了其在天体物理研究中的应用范围。 展开更多
关键词 射电辐射机制 电子回旋脉泽不稳定性(ECM) 射电暴 幂律谱 低能截止行为
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金属纳米结构下气体位置对谐波截止能量的影响
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作者 栗博文 王佳乐 刘航 《辽宁工业大学学报(自然科学版)》 2020年第3期201-203,共3页
理论研究了3种不同金属纳米结构下气体位置对谐波截止能量的影响。结果显示,谐波截止能量随着气体位置远离中心点而呈现先增大再减小的现象。并且气体在特定位置时会呈现最大谐波截止能量。这一阈值能量随纳米结构增宽而增大。通过分析... 理论研究了3种不同金属纳米结构下气体位置对谐波截止能量的影响。结果显示,谐波截止能量随着气体位置远离中心点而呈现先增大再减小的现象。并且气体在特定位置时会呈现最大谐波截止能量。这一阈值能量随纳米结构增宽而增大。通过分析电子在纳米结构中的运动,给出了谐波截止能量随气体位置变化及产生谐波截止能量阈值的原因。 展开更多
关键词 高次谐波 谐波截止能量 气体位置 金属纳米结构
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The Solution Cosmological Constant Problem
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作者 Jaykov Foukzon Elena Men’kova Alexander Potapov 《Journal of Modern Physics》 2019年第7期729-794,共66页
The cosmological constant problem arises because the magnitude of vacuum energy density predicted by the Quantum Field Theory is about 120 orders of magnitude larger then the value implied by cosmological observations... The cosmological constant problem arises because the magnitude of vacuum energy density predicted by the Quantum Field Theory is about 120 orders of magnitude larger then the value implied by cosmological observations of accelerating cosmic expansion. We pointed out that the fractal nature of the quantum space-time with negative Hausdorff-Colombeau dimensions can resolve this tension. The canonical Quantum Field Theory is widely believed to break down at some fundamental high-energy cutoff and therefore the quantum fluctuations in the vacuum can be treated classically seriously only up to this high-energy cutoff. In this paper we argue that the Quantum Field Theory in fractal space-time with negative Hausdorff-Colombeau dimensions gives high-energy cutoff on natural way. We argue that there exists hidden physical mechanism which cancels divergences in canonical QED4, QCD4, Higher-Derivative-Quantum gravity, etc. In fact we argue that corresponding supermassive Pauli-Villars ghost fields really exist. It means that there exists the ghost-driven acceleration of the universe hidden in cosmological constant. In order to obtain the desired physical result we apply the canonical Pauli-Villars regularization up to &Lambda;*. This would fit in the observed value of the dark energy needed to explain the accelerated expansion of the universe if we choose highly symmetric masses distribution between standard matter and ghost matter below the scale &Lambda;*, i.e., The small value of the cosmological constant is explained by tiny violation of the symmetry between standard matter and ghost matter. Dark matter nature is also explained using a common origin of the dark energy and dark matter phenomena. 展开更多
关键词 COSMOLOGICAL Constant Problem QUANTUM Field Theory Vacuum energy Density QUANTUM Space-Time Hausdorff-Colombeau Dimension QUANTUM Fluctuations High-energy cutoff CANONICAL Pauli-Villars Regularization Universe
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A New Version of Special Relativity Absorbed the Uncertainty Principle: Its Content as Well as Application and Experimental Test
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作者 Dapeng Qian 《Journal of Modern Physics》 2014年第12期1146-1166,共21页
Based on the space spherical symmetry of 3-dimensional and the translational symmetry of time and the uncertainty principle, a 4-dimensional space-time cylinder model of quarks and leptons is established. With this mo... Based on the space spherical symmetry of 3-dimensional and the translational symmetry of time and the uncertainty principle, a 4-dimensional space-time cylinder model of quarks and leptons is established. With this model, equations of the special relativity can be extended more perfectly, thereby achieving a unity of the special relativity and quantum mechanics in deeper level. New equations can not only interpret issues explained by old equations but also solve several important pending problems. For example, a formula to strictly calculate the coefficient ξ of Lorentz invariance violation (LIV) is derived, to above 4 × 1019 eV UHECR protons the calculated |ξ| -30, although there is the LIV effect it is too weak to change the GZK cutoff, which is consistent with observations of HiRes and Auger;Also, a relation formula between the Hubble constant and several basic constants is derived, thus theoretically calculated H0 = 70.937 km·s-1·Mpc-1, which is well consistent with the final observation result of HST Key Project. In addition, an unusual effect predicted by new equations can be experimentally tested in the electron storage ring;a preliminary experiment result has hinted its signs of existence. 展开更多
关键词 Special Relativity Uncertainty Principle Cylinder Model with Intrinsic 4-Dimensional Space-Time of Quarks/Leptons Lorentz Invariance Violation GZK cutoff of UHECR Planck energy HUBBLE Constant Super-High energy ELECTRON ELECTRON Storage Ring
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有限管道上非截断Boltzmann方程解的性态研究
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作者 杨航 刘莉萍 马璇 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2020年第6期136-147,共12页
Boltzmann碰撞算子之间的相互作用以及方程在边界处潜在的奇性,使得在Lx,v^∞框架下,获得整体解比较困难。文章关于空间变量x引入函数空间H x1^1H-x^2,在inflow边界条件下研究了非截断Boltzmann方程在有限管道中解的全局存在唯一性、大... Boltzmann碰撞算子之间的相互作用以及方程在边界处潜在的奇性,使得在Lx,v^∞框架下,获得整体解比较困难。文章关于空间变量x引入函数空间H x1^1H-x^2,在inflow边界条件下研究了非截断Boltzmann方程在有限管道中解的全局存在唯一性、大时间行为以及解的正则性传播。 展开更多
关键词 非截断的Boltzmann方程 能量估计 inflow边界条件
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The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity 被引量:1
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作者 Yingzhe Fan Yuanjie Lei +1 位作者 Shuangqian Liu Huijiang Zhao 《Science China Mathematics》 SCIE CSCD 2018年第1期111-136,共26页
We establish the global existence of small-amplitude solutions near a global Maxwellian to the Cauchy problem of the Vlasov-Maxwell-Boltzmann system for non-cutoff soft potentials with weak angular singularity. This e... We establish the global existence of small-amplitude solutions near a global Maxwellian to the Cauchy problem of the Vlasov-Maxwell-Boltzmann system for non-cutoff soft potentials with weak angular singularity. This extends the work of Duan et al.(2013), in which the case of strong angular singularity is considered, to the case of weak angular singularity. 展开更多
关键词 non-cutoff Vlasov-Maxwell-Boltzmann system global solutions near Maxwellians weak angular singularity time-velocity weighted energy method
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