Zobrazeno 1 - 10
of 85
pro vyhledávání: '"ZHONGMIN QIAN"'
ENTROPY ESTIMATE FOR DEGENERATE SDEs WITH APPLICATIONS TO NONLINEAR KINETIC FOKKER–PLANCK EQUATIONS.
Publikováno v:
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 4, p5330-5349, 20p
Autor:
Zhongmin Qian, Xingcheng Xu
Publikováno v:
Journal of Mathematical Finance. 13:221-247
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f7cb63f2c767a6dee95f9906ec270f0
https://doi.org/10.4236/jmf.2023.132015
https://doi.org/10.4236/jmf.2023.132015
Autor:
Zhongmin Qian, Xingcheng Xu
Publikováno v:
Statistics & Probability Letters. 199:109855
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::840858c1a0a88181d10da5c9cfb448c5
https://doi.org/10.1016/j.spl.2023.109855
https://doi.org/10.1016/j.spl.2023.109855
Publikováno v:
2022 5th International Conference on Machine Learning and Machine Intelligence.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65713d3e40010a9cfc954a651dce2f00
https://doi.org/10.1145/3568199.3568219
https://doi.org/10.1145/3568199.3568219
In this paper we present a novel, closed three-dimensional (3D) random vortex dynamics system, which is equivalent to the Navier--Stokes equations for incompressible viscous fluid flows. The new random vortex dynamics system consists of a stochastic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c7b5924e53523bf3f51cc198d196ee4
http://arxiv.org/abs/2201.00448
http://arxiv.org/abs/2201.00448
Autor:
Zhongmin Qian, Yuhan Yao
Publikováno v:
Partial Differential Equations and Applications. 3
We study a class of McKean–Vlasov type stochastic differential equations (SDEs) which arise from the random vortex dynamics and other physics models. By introducing a new approach we resolve the existence and uniqueness of both the weak and strong
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90e02f477a9aa2cbd2f14ee3c4658fdf
https://doi.org/10.1007/s42985-021-00146-z
https://doi.org/10.1007/s42985-021-00146-z
Autor:
Zhongmin Qian, Xuan Liu
Publikováno v:
Probability Theory and Related Fields
By using the analytic tools of Dirichlet forms, we initiate a study of some non-linear parabolic equations on Sierpinski gasket, motivated by modellings of fluid flows along a fractal (which can be considered as a simplified rough porous medium). Unl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a34d5d42c94fb1687d38f7caa66729f5
https://doi.org/10.1007/s00440-019-00910-8
https://doi.org/10.1007/s00440-019-00910-8
Autor:
Zhongmin Qian, Guangyu Xi
Publikováno v:
Indiana University Mathematics Journal. 68:761-797
In this paper we study the fundamental solution $\varGamma(t,x;\tau,\xi)$ of the parabolic operator $L_{t}=\partial_{t}-\Delta+b(t,x)\cdot\nabla$, where for every $t$, $b(t,\cdot)$ is a divergence-free vector field, and we consider the case that $b$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a6a0de9aab35e6b31dd7baba91fbe6f
https://doi.org/10.1512/iumj.2019.68.7685
https://doi.org/10.1512/iumj.2019.68.7685
Vorticity random fields of turbulent flows (modelled over the vorticity equation with random initial data for example) are singled out as the main dynamic variables for the description of turbulence, and the evolution equation of the probability dens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96b09931969bfff1160268bb63cee276
http://arxiv.org/abs/2104.12217
http://arxiv.org/abs/2104.12217
Publikováno v:
Probability, Uncertainty & Quantitative Risk; 2022, Vol. 7 Issue 4, p283-300, 18p