The Vlasov Equation
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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Space-only hyperbolic approximation of the Vlasov equation
... In this paper, we propose a general Eulerian approach for solving the Vlasov equation. It is based on the semi-discretization of the Vlasov equation with respect to the velocity variable. In ...
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On local smooth solutions for the Vlasov equation with the potential of interactions ±r−2
... the Vlasov equation with the potential of interactions ±r − 2 , we prove the existence and uniqueness of a local solution with values in the Schwartz space S of infinitely differentiable functions rapidly ...
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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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Hyperbolic approximation of the fourier transformed vlasov equation
... transformed Vlasov equation in which the dependency on the spectral-velocity variable is ...the Vlasov equation after a Fourier transformation in the velocity variable as in ...
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Simple collision operators for direct Vlasov solvers
... Figure 1.9: Summary of the physics of a high power laser hitting a target. Reproduced from Thomas et al. [23] laser pulse interacts with matter and some characteristics of the plasma in each region. The region on the ...
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Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson
... Abstract. We construct a hyperbolic approximation of the Vlasov equation using a method of reduc- tion [10, 14, 22] in which the dependency on the velocity variable is removed. The reduction relies on a ...
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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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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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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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Infinite-dimensional regularization of McKean-Vlasov equation with a Wasserstein diffusion
... 0.3.2 Restoration of uniqueness under a regularity assumption in both arguments of the velocity field The second main result of this text is a well-posedness result for a continuum of admissible drift functions b that ...
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On local existence of the Vlasov-Fokker-Planck equation in a 2D anisotropic space
... Full list of author information is available at the end of the article Abstract We are concerned with local existence of the Vlasov-Fokker-Planck equation in a 2D anisotropic space L p x L 1 v in a bounded ...
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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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Vlasov on GPU (VOG project)*,**,***
... The main goal of this work is to use recent GPU devices for semi-Lagrangian simulations of the Vlasov-Poisson system (1)-(2). Indeed, looking for new algorithms that are highly scalable in the field of plasmas ...
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Finite volume schemes for Vlasov
... the Vlasov-Poisson context enables a licit splitting operator, in some situations however this procedure is not suitable (see [7, 19]) and can lead to numerical ...
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Vlasov simulations of parallel potential drops
... Received: 29 April 2013 – Accepted: 18 June 2013 – Published: 18 July 2013 Abstract. An auroral flux tube is modelled from the mag- netospheric equator to the ionosphere using Vlasov simu- lations. Starting from ...
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Vlasov simulation of Langmuir wave packets
... Abstract. Amplitude modulation and packet formation of Langmuir waves are commonly observed during a nonlinear interaction between electron beams and plasmas. In this pa- per, we briefly review the history of Langmuir ...
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Stokes Representation for the Solutions of Maxwell Vlasov
... Maxwell-Vlasov PDEs system describes the dynamics of plasma consisting of charged particles with long-range inter- action. Their solutions can be written using some Stokes potentials. Section 1 presents the ...
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Vlasov simulations of trapping and loss of auroral electrons
... 4 Department of Physics, Umeå University, 901 87 Umeå, Sweden Correspondence to: H. Gunell ([email protected]) Received: 27 October 2014 – Revised: 4 February 2015 – Accepted: 12 February 2015 – Published: 4 ...
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Cosmological Vlasov Poisson equations for dark matter
... Received: 21 July 2021 / Accepted: 8 October 2021 / Published online: 5 November 2021 © The Author(s) 2021 Abstract The cosmic large-scale structures of the Universe are mainly the result of the grav- itational ...
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