Zobrazeno 1 - 10
of 221
pro vyhledávání: '"Qian ZhongMin"'
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 9, Iss 1 (2024)
This paper discusses the design and implementation of the grid intelligent micro-application, involving two core aspects: technical architecture and data architecture. First, the article successfully constructs the basic framework of grid intelligent
Externí odkaz:
https://doaj.org/article/7540dbc62f6c41f0953860f2dd2d1ba7
By using a formulation of a class of compressible viscous flows with a heat source via vorticity and expansion-rate, we study the Oberbeck-Boussinesq flows. To this end we establish a new integral representation for solutions of parabolic equations s
Externí odkaz:
http://arxiv.org/abs/2410.02923
Autor:
Guo, Zihao, Qian, Zhongmin
We develop a numerical method for simulation of incompressible viscous flows by integrating the technology of random vortex method with the core idea of Large Eddy Simulation (LES). Specifically, we utilize the filtering method in LES, interpreted as
Externí odkaz:
http://arxiv.org/abs/2410.00605
Autor:
Li, Jiawei, Qian, Zhongmin
We consider Mckean-Vlasov type stochastic differential equations with multiplicative noise arising from the random vortex method. Such an equation can be viewed as the mean-field limit of interacting particle systems with singular interacting kernels
Externí odkaz:
http://arxiv.org/abs/2404.05054
Functional integral representations for solutions of the motion equations for wall-bounded incompressible viscous flows, expressed (implicitly) in terms of distributions of solutions to stochastic differential equations of McKean-Vlasov type, are est
Externí odkaz:
http://arxiv.org/abs/2403.15549
Autor:
Qian, Zhongmin
Dirac operators on curved space-times are introduced with the help of a new point-view that observers have to be included in the formulation of natural laws. The class of Dirac operators are Lorentz invariant in the sense that the transformation rule
Externí odkaz:
http://arxiv.org/abs/2402.02294
The relative entropy for two different degenerate diffusion processes is estimated by using the Wasserstein distance of initial distributions and the difference between coefficients. As applications, the entropy cost inequality and exponential ergodi
Externí odkaz:
http://arxiv.org/abs/2308.16373
Autor:
Qian, Zhongmin, Shen, Zihao
By using a formulation of motion equations for a viscous (compressible) fluid flow in terms of the vorticity and the rate of expansion as the main fluid dynamical variables, an approximation model is established for compressible flows with slowly var
Externí odkaz:
http://arxiv.org/abs/2308.08019
Autor:
Cherepanov, Vladislav, Qian, Zhongmin
We establish stochastic functional integral representations for incompressible fluid flows occupying wall-bounded domains using the conditional law duality for a class of diffusion processes. These representations are used to derive a Monte-Carlo sch
Externí odkaz:
http://arxiv.org/abs/2304.09152
We establish stochastic functional integral representations for solutions of Oberbeck-Boussinesq equations in the form of McKean-Vlasov-type mean field equations, which can be used to design numerical schemes for calculating solutions and for impleme
Externí odkaz:
http://arxiv.org/abs/2303.17260