The mean field kinetic equation for interacting particle systems with non‐Lipschitz force
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6013
Abstract: In this paper, we prove the global existence of the weak solution to the mean field kinetic equation derived from the $N$-particle Newtonian system. For $L^1\cap L^\infty$ initial data, the solvability of the mean field… read more here.
Keywords: kinetic equation; mean field; particle; field kinetic ... See more keywords
Non-local hydrodynamics as a slow manifold for the one-dimensional kinetic equation
Sign Up to like & getrecommendations! Published in 2020 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-020-00913-0
Abstract: We prove an explicit, non-local hydrodynamic closure for the linear one-dimensional kinetic equation independent on the size of the relaxation time. We compare this dynamical equation to the local approximations obtained from the Chapman–Enskog expansion… read more here.
Keywords: dimensional kinetic; hydrodynamics; kinetic equation; equation ... See more keywords
Electromagnetic banana kinetic equation and its applications in tokamaks
Sign Up to like & getrecommendations! Published in 2018 at "Physics of Plasmas"
DOI: 10.1063/1.5021473
Abstract: A banana kinetic equation in tokamaks that includes effects of the finite banana width is derived for the electromagnetic waves with frequencies lower than the gyro-frequency and the bounce frequency of the trapped particles. The… read more here.
Keywords: equation applications; electromagnetic banana; kinetic equation; banana kinetic ... See more keywords
Global modelling of tungsten impurity transport based on the drift-kinetic equation
Sign Up to like & getrecommendations! Published in 2019 at "Nuclear Fusion"
DOI: 10.1088/1741-4326/ab5462
Abstract: A global kinetic simulation model of collisional impurity transport is developed for evaluating the radial particle flux of tungsten impurity in the edge region of a tokamak plasma. Here, the plasma including the impurity and… read more here.
Keywords: drift kinetic; impurity transport; impurity; kinetic equation ... See more keywords
Quantum kinetic equation in the rotating frame and chiral kinetic theory
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review D"
DOI: 10.1103/physrevd.98.081701
Abstract: A modified quantum kinetic equation which takes account of the noninertial features of rotating frame is proposed. The vector and axial-vector field components of the Wigner function for chiral fluids are worked out in a… read more here.
Keywords: rotating frame; quantum kinetic; kinetic equation; kinetic theory ... See more keywords
Nonequilibrium master kinetic equation modeling of colloidal gelation.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.102.022602
Abstract: We present a detailed study of the kinetic cluster growth process during gelation of weakly attractive colloidal particles by means of experiments on critical Casimir attractive colloidal systems, simulations, and analytical theory. In the experiments… read more here.
Keywords: kinetic equation; cluster; gelation; nonequilibrium ... See more keywords
Effects of finite non-Gaussianity on evolution of a random wind wave field.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.l042102
Abstract: We examine the long-term evolution of a random wind wave field generated by constant forcing, by comparing numerical simulations of the kinetic equation and direct numerical simulations (DNS) of the dynamical equations. While the integral characteristics… read more here.
Keywords: random wind; evolution random; kinetic equation; wave field ... See more keywords
Family of Asymptotic Solutions to the Two-Dimensional Kinetic Equation with a Nonlocal Cubic Nonlinearity
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14030577
Abstract: We apply the original semiclassical approach to the kinetic ionization equation with the nonlocal cubic nonlinearity in order to construct the family of its asymptotic solutions. The approach proposed relies on an auxiliary dynamical system… read more here.
Keywords: equation; equation nonlocal; family asymptotic; kinetic equation ... See more keywords