This paper reviews Vlasov-based numerical methods used to model plasma in space
physics and astrophysics. Plasma consists of collectively behaving charged particles that …

The Kelvin–Helmholtz instability, proposed a long time ago for its role in and impact on the
transport properties at magnetospheric flanks, has been widely investigated in the Earth's …

We present results from a new hybrid-Vlasov simulation code, Vlasiator, designed for global
magnetospheric simulations. Vlasiator represents ions by a six-dimensional distribution …

The entry of solar wind into the magnetosphere is strongly influenced by kinetic‐scale
boundary layers where the rapid variation in the magnetic field and/or velocity can drive …

Abstract The Kelvin‐Helmholtz instability is a key process for the transport of solar wind
plasma into the Earth's magnetosphere when the interplanetary magnetic field (IMF) is …

We have performed 2.5‐dimensional full particle simulations of an MHD‐scale Kelvin‐
Helmholtz (KH) vortex and accompanying magnetic reconnection. This is the first study of so …

The nonlinear evolution of collisionless plasmas is typically a multi-scale process, where the
energy is injected at large, fluid scales and dissipated at small, kinetic scales. Accurately …

On the basis of the Vlasov chain of equations, a new infinite dispersion chain of equations is
obtained for the distribution functions of mixed higher order kinematical values. In contrast to …

A conservative semi-Lagrangian scheme for the numerical solution of the Vlasov equation is
developed based on the fourth-degree polynomial interpolation. Then, a numerical filter is …

Our understanding of processes occurring in the heliosphere historically began with
reduced dimensionality-one-dimensional (1D) and two-dimensional (2D) sketches and …