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pro vyhledávání: '"LI, Fucai"'
In this paper, we study the global well-posedness and decay rates of strong solutions to an incompressible Vlasov-MHD model arising in magnetized plasmas. This model is consist of the Vlasov equation and the incompressible magnetohydrodynamic equatio
Externí odkaz:
http://arxiv.org/abs/2408.14145
In this paper, we investigate a three-dimensional fluid-particle coupled model. % in whole space $\mathbb{R}^3$. This model combines the full compressible Navier-Stokes equations with the Vlasov-Fokker-Planck equation via the momentum and energy exch
Externí odkaz:
http://arxiv.org/abs/2408.14121
The classical Fourier's law, which states that the heat flux is proportional to the temperature gradient, induces the paradox of infinite propagation speed for heat conduction. To accurately simulate the real physical process, the hyperbolic model of
Externí odkaz:
http://arxiv.org/abs/2310.13461
Bresch-Desjardins-Gisclon-Sart have derived that the capillarity can slow {down} the growth rate of Rayleigh-Taylor (RT) instability in the capillary fluids based on the linearized two-dimensional (2D) Navier-Stokes-Korteweg equations in 2008. Motiva
Externí odkaz:
http://arxiv.org/abs/2302.01013
Autor:
Li, Fucai, Zhang, Shuxing
In this paper, we investigate the non-equilibrium diffusion limit of the compressible Navier-Stokes-Fourier-P1 (NSF-P1) approximation model at low Mach number, which arises in radiation hydrodynamics, with general initial data and a parameter $\delta
Externí odkaz:
http://arxiv.org/abs/2211.10970
We consider the compressible Vlasov-Poisson-Fokker-Planck-Navier-Stokes system in a three dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The system describes the evolution of charged particles ensemble dispersed in an i
Externí odkaz:
http://arxiv.org/abs/2201.01597
Publikováno v:
In International Journal of Mechanical Sciences 1 December 2024 283
Publikováno v:
In International Journal of Mechanical Sciences 1 December 2024 283
Autor:
Li, Fucai, Wang, Yichun
Publikováno v:
J. Differential Equations 305 (2021), 143--205
Boundary effects are crucial for dynamics of dilute charged gases governed by the Vlasov-Poisson-Boltzmann (VPB) system. In this paper, we study the existence and regularity of solutions to the VPB system with soft potential in a bounded convex domai
Externí odkaz:
http://arxiv.org/abs/2111.08946
Autor:
Hu, Yue, Jiang, Xiaoqian, Zhu, Yanping, Cao, Shuai, Cui, Fangsen, Li, Fucai, Gao, Yang, Xuan, Fu-zhen
Publikováno v:
In Mechanical Systems and Signal Processing 15 May 2024 214