Vlasov equation
Hyperbolic approximation of the fourier transformed vlasov equation
... In a previous work [8], we constructed a reduced Vlasov-Poisson model with a velocity basis expansion. In this paper, we consider a Fourier velocity transformation of the Vlasov equation. We ...
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Linear quadratic optimal control of conditional McKean-Vlasov equation with random coefficients and applications
... Abstract We consider the optimal control problem for a linear conditional McKean- Vlasov equation with quadratic cost functional. The coefficients of the system and the weighting matrices in the cost ...
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On local smooth solutions for the Vlasov equation with the potential of interactions ±r−2
... results. Vlasov equation and its various modifica- tions are classical equations of ...this equation supplied with initial data and its derivation from molecular dynamics are considered in the case ...
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Space-only hyperbolic approximation of the Vlasov equation
... the Vlasov equation. The Vlasov equation is coupled with the Maxwell equations governing the electromagnetic field, or with the Poisson equation when only the electric field is ...
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Solving the Vlasov equation in complex geometries
... the Vlasov-Poisson ...the Vlasov equation, while a grid is necessary only in real space in order to solve the Poisson ...the Vlasov equation on a fixed grid in phase-space using finite ...
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First order Two-Scale Particle-in-Cell numerical method for the Vlasov equation
... For the second step of the algorithm, we need to recover an approximation of the space derivatives of G thanks to the particle approximation of G.. Therefore, a regularization of approxi[r] ...
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Numerical solutions for a class of SPDEs over bounded domains
... filtering equation has attracted intensive research effort ...McKean-Vlasov equation in hoping to obtain an approximation by un-weighted empirical measure of a finite particle ...
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McKean-Vlasov limit for interacting random processes in random media
... Keyword., and phmses: Interacting particle systems; random media; McKean-Vlasov equation; large deviations; central limit theorem.. AMS 1991 subject classifications.[r] ...
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Dynamics of the Desai Zwanzig model in multiwell and random energy landscapes
... We analyze a variant of the Desai-Zwanzig model [J. Stat. Phys. 19 1-24 (1978)]. In par- ticular, we study stationary states of the mean field limit for a system of weakly interacting diffusions moving in a multiwell ...
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Resolution of the Vlasov-Maxwell system by PIC discontinuous Galerkin method on GPU with OpenCL
... of Vlasov-Maxwell equations describes the evolution of charged particles in an electromagnetic ...The Vlasov equation can be approximated by several ...
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On the inverse problem for Channell collisionless plasma equilibria
... Vlasov-Maxwell equilibria are described by the self-consistent solutions of the time-independent Maxwell equations for the real-space dynamics of electromagnetic fields, and the Vlasov equation for ...
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Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson
... the Vlasov equation, have been preferred for a long time because of their low computational ...the Vlasov equation on a mesh of the phase-space, thus improving the precision; among these ...
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Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson
... reduced Vlasov-Poisson system where the dependency in the velocity variable v is ...the Vlasov equation into a hyperbolic system for which the unknowns system are the values of f at the interpolation ...
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Longitudinal and transverse cooling of relativistic electron beams in intense laser pulses
... To facilitate evaluation of the longitudinal beam cooling effects, we have introduced an innovative method to ef fi ciently and accurately calculate the distribution function for an electron beam interacting with an ...
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Simple collision operators for direct Vlasov solvers
... laser pulse interacts with matter and some characteristics of the plasma in each region. The region on the left corresponds to the region of ablated plasma. Here the plama is hot and tenuous and such that the plasma ...
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Equilibrium and stability properties of collisionless current sheet models
... the Vlasov-Maxwell equations, the linearised Vlasov equation must be integrated to obtain the perturbed distribution ...the Vlasov equation (see Section ...any Vlasov stability ...
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Exact Vlasov Maxwell equilibria for asymmetric current sheets
... Vlasov equation. We present new and exact equilibrium solutions of the Vlasov-Maxwell system that are self-consistent with one-dimensional asymmetric current sheets, with an asymmetric Harris-type ...
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Semiclassical fluid model of nonlinear plasmons in doped graphene
... We have derived a non-linear fluid model for high- frequency plasmons in graphene, by taking moments of the collision-less Boltzmann (Vlasov) equation, and finding a closure corresponding to adiabatic ...
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Vlasov code development with inertial confinement fusion applications
... Kinetic models adopt a statistical treatment of the plasma retaining information about the distribution of particle momenta. In addition to the conventional spatial di- mensions, a kinetic model may have up to three ...
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Reciprocity Relations for Nonlinear Galvanomagnetic Transducer
... methods reciprocal relations are not applicable to the case of the nonlinear relationship between the forces and flows [10]. Reciprocity relations are postulated [12] for linear systems in thermodynamics of nonequilibrium ...
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