VLASOV

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一类带共同噪声和Lévy过程驱动的McKean-Vlasov随机微分方程的数值分析
《中南民族大学学报(自然科学版)》2025年第2期269-276,共8页胡军浩 刘虎 高帅斌 
国家自然科学基金资助项目(62373383)。
研究了一类带共同噪声和Lévy过程驱动的McKean-Vlasov随机微分方程的数值方法,其中方程系数满足超线性增长条件.对相应的交互粒子系统构造了自适应Euler-Maruyama算法,并给出了该数值算法的收敛速率.
关键词:McKean-Vlasov随机微分方程 共同噪声 自适应Euler-Maruyama算法 Lévy过程 
Vlasov-Boltzmann方程组的全局解和衰减估计
《中国科学:数学》2025年第3期569-604,共36页蔡剑斌 刘正荣 喻洪俊 
国家自然科学基金(批准号:12371218)资助项目。
耦合的Vlasov-Boltzmann方程组可用于描述通过强短程和弱长程对势相互作用的双组分流体系统的时间演化.本文利用补偿函数方法和能量方法得到耦合的Vlasov-Boltzmann方程组靠近整体Maxwell分布时全局解的存在性和最优衰减速率.此方法的...
关键词:Vlasov-Boltzmann 方程组 补偿函数 能量估计 全局解 衰减估计 
Galerkin-Vlasov approach for bending analysis of flexoelectric doubly-curved sandwich nanoshells with piezoelectric/FGP/piezoelectric layers using the nonlocal strain theory被引量:1
《Acta Mechanica Sinica》2025年第2期7-40,共34页Tran Van Ke Do Van Thom Nguyen Thai Dung Nguyen Van Chinh Phung Van Minh 
This work was supported by the Le Quy Don Technical University Research Fund(Grant No.23.1.11).
Flexoelectricity refers to the link between electrical polarization and strain gradient fields in piezoelectric materials,particularly at the nano-scale.The present investigation aims to comprehensively focus on the s...
关键词:Analytical solution Flexoelectric effect Nonlocal strain gradient theory Static bending of nanoshell 
Accretion of Vlasov gas onto a black hole in the Kalb–Ramond field
《Chinese Physics C》2025年第2期163-171,共9页Xu-Xin Zhang Yu-Hao Jiang 
We investigate the accretion of Vlasov gas onto a static,spherically symmetric black hole(BH)influenced by the Kalb-Ramond(KR)field,focusing on the effects of Lorentz symmetry breaking(LSB)parameters.We employ the Max...
关键词:Vlasov gas Kalb-Ramond black hole Lorentz breaking ACCRETION particle current density mass accretion 
The Applications of Yau-Yau Algorithm on McKean-Vlasov Filtering Problem Dedicated to Professor Peter Caines on the occasion of his 80th Birthday
《Journal of Systems Science & Complexity》2025年第1期79-97,共19页SUN Zeju YAU Stephen Shing-Toung 
supported by the National Natural Science Foundation of China under Grant No.123B2020;by Tsinghua University Education Foundation fund under Grant No.042202008.
The McKean-Vlasov filtering problem is a special kind of filtering problem,with the state and/or observation processes governed by McKean-Vlasov stochastic differential equations,which has extensive applications in va...
关键词:Duncan-Mortensen-Zakai equation Hermite spectral method McKean-Vlasov equation Nonlinear filtering Yau-Yau algorithm 
二维不可压缩Navier-Stokes/Vlasov方程组强解的大时间行为
《纯粹数学与应用数学》2024年第4期617-623,共7页张珮瑜 方莉 
国家自然科学基金(11501445).
本文建立了二维空间中周期区域上不可压缩Navier-Stokes方程与Vlasov方程耦合模型强解的大时间行为.通过构造Lyapunov泛函,本文证明了该耦合方程组的强解在大时间尺度下的能量衰减行为,具体表现为能量随着时间的变化呈指数衰减.
关键词:不可压缩Navier-Stokes/Vlasov方程组 大时间行为 全局强解 
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 
Exact solution for thermal vibration of multi-directional functionally graded porous plates submerged in fluid medium
《Defence Technology(防务技术)》2024年第5期77-99,共23页Quoc-Hoa Pham Van Ke Tran Phu-Cuong Nguyen 
An analytical method for analyzing the thermal vibration of multi-directional functionally graded porous rectangular plates in fluid media with novel porosity patterns is developed in this study.Mechanical properties ...
关键词:Plate-fluid contact Galerkin Vlasov's method Multi-directional functionally graded plate Novel porosity Thermal vibration Refined higher-order shear deformation theory 
A Local Macroscopic Conservative(LoMaC)Low Rank Tensor Method with the Discontinuous Galerkin Method for the Vlasov Dynamics
《Communications on Applied Mathematics and Computation》2024年第1期550-575,共26页Wei Guo Jannatul Ferdous Ema Jing-Mei Qiu 
supported by the NSF(Grant Nos.the NSF-DMS-1818924 and 2111253);the Air Force Office of Scientific Research FA9550-22-1-0390 and Department of Energy DE-SC0023164;supported by the NSF(Grant Nos.NSF-DMS-1830838 and NSF-DMS-2111383);the Air Force Office of Scientific Research FA9550-22-1-0390.
In this paper,we propose a novel Local Macroscopic Conservative(LoMaC)low rank tensor method with discontinuous Galerkin(DG)discretization for the physical and phase spaces for simulating the Vlasov-Poisson(VP)system....
关键词:Hierarchical Tucker(HT)decomposition Conservative SVD Energy conservation Discontinuous Galerkin(DG)method 
Weak Solutions of McKean-Vlasov SDEs with Supercritical Drifts
《Communications in Mathematics and Statistics》2024年第1期1-14,共14页Xicheng Zhang 
supported by NNSFC Grant of China(No.11731009,12131019);the DFG through the CRC 1283“Taming uncertainty and profiting from randomness and low regularity in analysis,stochastics and their applications”.
Consider the following McKean-Vlasov SDE:dXt=√2dWt+∫R_(d)K(t,Xt-y)μX_(t)(dy)dt,X_(0)=X,whereμXt stands forthedistributionof Xt and K(t,x):R_(+)×R^(d)→is a time-dependent divergence free vector field.Under the as...
关键词:McKean-Vlasovsystem Supercritical drift 2D Navier-Stokes equation Krylov’sestimate 
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