SIAM Journal on Numerical Analysis, Vol. 52, No. 2 (2014), pp. 1017-1049 (33 pages) Discontinuous Galerkin methods are developed for solving the Vlasov–Maxwell system, methods that are designed to be ...
Karl J. Havlak, Harold Dean Victory, Jr. We devise and study a random particle method for approximating Vlasov-Poisson-Fokker-Planck systems. Such a proposed scheme takes into account the fact that ...
The Vlasov-Poisson system offers a fundamental kinetic framework to describe the evolution of collisionless plasmas, in which particle interactions are mediated predominantly by long-range ...
In this work, we recast the collisional Vlasov–Maxwell and Vlasov–Poisson equations as systems of coupled stochastic and partial differential equations, and we derive stochastic variational principles ...
This is a preview. Log in through your library . Abstract We study a finite system of diffusions on the half-line, absorbed when they hit zero, with a correlation effect that is controlled by the ...
image: The Vlasov-Poisson equations describe many important physical phenomena such as the distribution of gravitating particles in the interstellar space, high-temperature plasma kinetics, and the ...
Researchers carried out simulations of large-scale structure formation in the Universe that accurately reproduce the dynamics of ghost-like particles called neutrinos left over from the Big Bang. In ...
We study a McKean–Vlasov equation arising from a mean-field model of a particle system with positive feedback. As particles hit a barrier, they cause the other particles to jump in the direction of ...
The master equation is a type of PDE whose state variable involves the distribution of certain underlying state process. It is a powerful tool for studying the limit behavior of large interacting ...
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