High-order Hamiltonian splitting for the Vlasov–Poisson equations
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DOI: 10.1007/s00211-016-0816-z
Abstract: We consider the Vlasov–Poisson equation in a Hamiltonian framework and derive new time splitting methods based on the decomposition of the Hamiltonian functional between the kinetic and electric energy. Assuming smoothness of the solutions, we… read more here.
Keywords: order; order hamiltonian; hamiltonian splitting; high order ... See more keywords
On the Linearized Vlasov–Poisson System on the Whole Space Around Stable Homogeneous Equilibria
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DOI: 10.1007/s00220-021-04228-2
Abstract: We study the linearized Vlasov-Poisson system around suitably stable homogeneous equilibria on $\mathbb{R}^d\times \mathbb{R}^d$ (for any $d \geq 1$) and establish dispersive $L^\infty$ decay estimates in the physical space. read more here.
Keywords: poisson system; linearized vlasov; homogeneous equilibria; stable homogeneous ... See more keywords
Asymptotic growth bounds for the Vlasov-Poisson system with radiation damping
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DOI: 10.1007/s10473-022-0104-1
Abstract: We consider asymptotic behaviors of the Vlasov-Poisson system with radiation damping in three space dimensions. For any smooth solution with compact support, we prove a sub-linear growth estimate of its velocity support. As a consequence,… read more here.
Keywords: vlasov poisson; system radiation; poisson system; radiation damping ... See more keywords
On the Magnetic Shield for a Vlasov–Poisson Plasma
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DOI: 10.1007/s10955-017-1913-9
Abstract: We study the screening of a bounded body $$\Gamma $$Γ against the effect of a wind of charged particles, by means of a shield produced by a magnetic field which becomes infinite on the border… read more here.
Keywords: plasma; magnetic shield; poisson plasma; vlasov poisson ... See more keywords
Large-Time Behavior of Solutions to Vlasov-Poisson-Fokker-Planck Equations: From Evanescent Collisions to Diffusive Limit
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DOI: 10.1007/s10955-018-1963-7
Abstract: The present contribution investigates the dynamics generated by the two-dimensional Vlasov-Poisson-Fokker-Planck equation for charged particles in a steady inhomogeneous background of opposite charges. We provide global in time estimates that are uniform with respect to… read more here.
Keywords: fokker planck; tau; poisson fokker; time ... See more keywords
Observers of Vlasov-Poisson system
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DOI: 10.1016/j.ifacol.2020.12.1647
Abstract: Abstract This work focuses on observer’s for one-dimensional (1D) Vlasov-Poisson (VP) system. Thanks to the discontinuous Galerkin method (DGM) to put the system into a suitable and explicit state space representation form. Then we construct… read more here.
Keywords: system; vlasov poisson; poisson system; observers vlasov ... See more keywords
Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system with hard potentials
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DOI: 10.1016/j.jde.2021.03.004
Abstract: Abstract The purpose of this paper is to study the nonlinear stability of rarefaction waves for the one-dimensional bipolar Vlasov-Poisson-Boltzmann system with hard potentials. To this end, we first construct the global solutions near a… read more here.
Keywords: boltzmann system; stability rarefaction; vlasov poisson; bipolar vlasov ... See more keywords
On classical solutions of the two-species Vlasov–Poisson system in R3 with infinite charge
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DOI: 10.1063/5.0015340
Abstract: We are concerned with the initial value problem for the two-species Vlasov–Poisson system in the plasma physics case in R3. It is assumed that initially the phase-space densities of ions and electrons decay only polynomially… read more here.
Keywords: poisson system; infinite charge; charge; species vlasov ... See more keywords
Classical solutions for the Vlasov–Poisson system with damping term
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DOI: 10.1080/00036811.2017.1408073
Abstract: ABSTRACT We investigate global existence of classical solution to the three dimensional Vlasov–Poisson system with radiation damping . We prove that a small perturbation of initial datum for a global classical solution verifying certain decay… read more here.
Keywords: poisson system; vlasov poisson; classical solution;