22 citations · 98 across the 8 of their papers we have counts for
9 papers
Unsteady Stokes flow near boundaries: the point-particle approximation and the method of reflections
Akarsh Simha, Jianyong Mo, Philip J. Morrison
Problems of particle dynamics involving unsteady Stokes flows in confined geometries are typically harder to solve than their steady counterparts. Approximation techniques are ofte…
Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability -- Examples with Translation Symmetry
T. Andreussi, P. J. Morrison, F. Pegoraro
Because different constraints are imposed, stability conditions for dissipationless fluids and magnetofluids may take different forms when derived within the Lagrangian, Eulerian (…
Hamiltonian fluid closures of the Vlasov-Amp{è}re equations: from water-bags to N moment models
M. Perin, Cristel Chandre, P. J. Morrison +1
Moment closures of the Vlasov-Amp{è}re system, whereby higher moments are represented as functions of lower moments with the constraint that the resulting fluid system remains Hami…
Hamiltonian closures for fluid models with four moments by dimensional analysis
M Perin, C Chandre, P. J. Morrison +1
Fluid reductions of the Vlasov-Amp{è}re equations that preserve the Hamiltonian structure of the parent kinetic model are investigated. Hamiltonian closures using the first four mo…
Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations
Yingda Cheng, Irene M. Gamba, Fengyan Li +1
Discontinuous Galerkin methods are developed for solving the Vlasov-Maxwell system, methods that are designed to be systematically as accurate as one wants with provable conservati…
On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
Cristel Chandre, Loïc De Guillebon, Aurore Back +2
The role of projectors associated with Poisson brackets of constrained Hamiltonian systems is analyzed. Projectors act in two instances in a bracket: in the explicit dependence on…