3 papers
physics.comp-ph2024
A Hamiltonian structure-preserving discretization of Maxwell's equations in nonlinear media
William Barham, Yaman Güçlü, Philip J. Morrison +1
A simple Hamiltonian modeling framework for general models in nonlinear optics is given. This framework is specialized to describe the Hamiltonian structure of electromagnetic phen…
math-ph2024
On finite-dimensional smoothed-particle Hamiltonian reductions of the Vlasov equation
William Barham, Philip J. Morrison
The inclusion of spatial smoothing in finite-dimensional particle-based Hamiltonian reductions of the Vlasov equation are considered. In the context of the Vlasov-Poisson equation…
physics.ao-ph2018
Exact instantaneous optimals in the non-geostrophic Eady problem and the detrimental effects of discretization
William Barham, Ian Grooms
We derive exact analytical expressions for flow configurations that optimize the instantaneous growth rate of energy in the linear Eady problem, along with the associated growth ra…