FOKKER-PLANCK

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相关机构:华中科技大学中国科学技术大学中国科学院数学与系统科学研究院北京师范大学更多>>
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基于CIMI模型的高空核爆电子环向分布演化过程模拟研究
《物理学报》2025年第6期287-297,共11页罗哲楷 孙强 谢伦 濮祖荫 宗秋刚 刘鹰 周前红 傅绥燕 
国家自然科学基金(批准号:12375246,12305288,41731068)资助的课题.
高空核爆过程会向内磁层注入大量相对论性电子,形成人工辐射带,这些高能电子可能对航天器造成显著影响.本文利用CIMI模型(comprehensive inner magnetosphere-ionosphere model)模拟研究了核爆注入的电子由局地集中分布向环向均匀分布...
关键词:高空核爆 人工辐射带 FOKKER-PLANCK 方程 电子扩散 
Relaxation model for a homogeneous plasmas with spherically symmetric velocity space
《Chinese Physics B》2025年第1期388-399,共12页Yanpeng Wang Jianyuan Xiao Xianhao Rao Pengfei Zhang Yolbarsop Adil Ge Zhuang 
Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant Nos.XDB0500302 and LSKJ202300305)。
We derive the transport equations from the Vlasov–Fokker–Planck equation when the velocity space is spherically symmetric.The Shkarofsky's form of Fokker–Planck–Rosenbluth collision operator is employed in the Vla...
关键词:finitely distinguishable independent features hypothesis Maxwellian mixture model Fokker-Planck-Rosenbluth collision operator spherical symmetry 
LOW-REGULARITY SOLUTIONS TO FOKKER-PLANCK-TYPE SYSTEMS IN THE WHOLE SPACE
《Acta Mathematica Scientia》2024年第6期2361-2390,共30页Lihua TAN Yingzhe FAN 
supported by the National Natural Science Foundation of China(11801285,12326337)。
In this manuscript,we consider two kinds of the Fokker-Planck-type systems in the whole space.The first part involves proving the global existence and the algebraic time decay rates of the mild solutions to the Fokker...
关键词:global existence algebraic time decay rates exponential time decay rates the whole space low regularity space 
Adaptive State-Dependent Diffusion for Derivative-Free Optimization
《Communications on Applied Mathematics and Computation》2024年第2期1241-1269,共29页Bjorn Engquist Kui Ren Yunan Yang 
partially supported by the National Science Foundation through grants DMS-2208504(BE),DMS-1913309(KR),DMS-1937254(KR),and DMS-1913129(YY);support from Dr.Max Rossler,the Walter Haefner Foundation,and the ETH Zurich Foundation.
This paper develops and analyzes a stochastic derivative-free optimization strategy.A key feature is the state-dependent adaptive variance.We prove global convergence in probability with algebraic rate and give the qu...
关键词:Derivative-free optimization Global optimization Adaptive diffusion Stationary distribution Fokker-Planck theory 
Vlasov-Fokker-Planck-MHD方程组整体强解的存在性
《西华大学学报(自然科学版)》2024年第3期91-96,112,共7页倪金凯 蒋鹏 
江苏省自然科学基金资助项目(BK20191296)。
考虑了一维Vlasov-MHD方程组初边值问题解的整体适定性。该方程组由带有黏性的磁流体力学方程组(MHD)和Vlasov-Fokker-Planck方程构成,刻画了不带电粒子在黏性非均质可压缩导电流体中的运动。文章利用能量估计的方法并结合粒子运动的反...
关键词:Vlasov-MHD方程组 初边值问题 整体强解 能量估计 
磁场作用下Vlasov-Euler-Fokker-Planck解的全局存在性和正则性
《应用数学进展》2023年第4期1753-1761,共9页宋颍聪 
本文研究了磁场作用下不可压缩Euler方程与Vlasov-Fokker-Planck方程通过斯托克斯阻力耦合而成的偏微分方程组系统。得到了接近平衡状态时经典解的整体时间存在性、正则性,并且得到了此系统具有瞬时的平滑效果。证明方法采用能量估计。
关键词:不可压 经典解 正则性 能量估计 
Path integral solutions for n-dimensional stochastic differential equations underα-stable Lévy excitation被引量:1
《Theoretical & Applied Mechanics Letters》2023年第2期98-112,共15页Wanrong Zan Yong Xu Jürgen Kurths 
This work was supported by the Key International(Regional)Joint Research Program of the National Natural Science Foundation of China(No.12120101002).
In this paper,the path integral solutions for a general n-dimensional stochastic differential equa-tions(SDEs)withα-stable Lévy noise are derived and verified.Firstly,the governing equations for the solutions of n-d...
关键词:Path integral method α-stable Lévy noise Monte carlo method Fokker-Planck-Kolmogorov equation 
基于Fokker-Planck-Landau碰撞模型的非均匀尘埃等离子体目标散射特性被引量:2
《物理学报》2023年第6期2-10,共9页陈伟 黄海 杨利霞 薄勇 黄志祥 
国家自然科学基金(批准号:U21A20457,61901004,61871457,62071003,62071353);先进激光技术安徽省实验室(批准号:AHL2021KF04);目标探测与特征提取安徽省重点实验室(批准号:TRFE2021A001);安徽省高校协同创新项目(批准号:GXXT-2020-050,GXXT-2021-028)资助的课题.
从玻尔兹曼方程出发,推导了全电离非均匀尘埃等离子体的Fokker-Planck-Landau碰撞模型下时域有限差分的迭代表达式.结合尘埃等离子体的碰撞效应和充电效应,得到了Fokker-Planck-Landau碰撞模型下全电离尘埃等离子体的电导率表达式.利用...
关键词:玻尔兹曼方程 尘埃等离子体 Z变换时域有限差分法 雷达散射截面 
Global Weak Solutions for Compressible Navier-Stokes-Vlasov-Fokker-Planck System
《Communications in Mathematical Research》2023年第1期136-172,共37页Hai-Liang Li Ling-Yun Shou 
The research of the paper is supported by National Natural Science Foundation of China(Nos.11931010,11671384,11871047);by the key research project of Academy for Multidisciplinary Studies,Capital Normal University,and by the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds(No.007/20530290068).
The one-dimensional compressible Navier-Stokes-Vlasov-Fokker-Planck system with density-dependent viscosity and drag force coefficients is investigated in the present paper.The existence,uniqueness,and regularity of g...
关键词:Fluid-particle model compressible Navier-Stokes-Vlasov-Fokker-Planck hy-poellipticity global existence large time behavior 
GREEN'S FUNCTION AND THE POINTWISE BEHAVIORS OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM被引量:1
《Acta Mathematica Scientia》2023年第1期205-236,共32页钟明溁 
supported by National Natural Science Foundation of China(11671100 and 12171104);the National Science Fund for Excellent Young Scholars(11922107);Guangxi Natural Science Foundation(2018GXNSFAA138210 and 2019JJG110010)。
The pointwise space-time behaviors of the Green’s function and the global solution to the Vlasov-Poisson-Fokker-Planck(VPFP)system in three dimensional space are studied in this paper.It is shown that the Green’s fu...
关键词:Vlasov-Poisson-Fokker-Planck system Green’s function pointwise behavior spectrum structure 
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