189 citations · 1.6k across the 88 of their papers we have counts for
9 papers · 1 filter
Hamiltonian formulation of the modified Hasegawa Mima equation
Cristel Chandre, Philip J. Morrison, Emanuele Tassi
We derive the Hamiltonian structure of the modified Hasegawa-Mima equation from the ion fluid equations applying Dirac's theory of constraints. We discuss the Casimirs obtained fro…
Variational Approach to Necessary and Sufficient Stability Conditions for Inviscid Shear Flow
Makoto Hirota, Philip J. Morrison, Yuji Hattori
A necessary and sufficient condition for linear stability of inviscid parallel shear flow is formulated by a novel variational method, where the velocity profile is assumed to be m…
Continuum Hamiltonian Hopf Bifurcation II
G. I. Hagstrom, P. J. Morrison
Building on the development of [MOR13], bifurcation of unstable modes that emerge from continuous spectra in a class of infinite-dimensional noncanonical Hamiltonian systems is inv…
Continuum Hamiltonian Hopf Bifurcation I
Philip J. Morrison, George I. Hagstrom
Hamiltonian bifurcations in the context of noncanonical Hamiltonian matter models are described. First, a large class of 1 + 1 Hamiltonian multi-fluid models is considered. These m…
Energy stability analysis for a hybrid fluid-kinetic plasma model
Philip J. Morrison, Emanuele Tassi, Cesare Tronci
In plasma physics, a hybrid fluid-kinetic model is composed of a magnetohydrodynamics (MHD) part that describes a bulk fluid component and a Vlasov kinetic theory part that describ…
Unfreezing Casimir invariants: singular perturbations giving rise to forbidden instabilities
Z. Yoshida, P. J. Morrison
The infinite-dimensional mechanics of fluids and plasmas can be formulated as "noncanonical" Hamiltonian systems on a phase space of Eulerian variables. Singularities of the Poisso…
Pattern formation in Hamiltonian systems with continuous spectra; a normal-form single-wave model
N. J. Balmforth, P. J. Morrison, J. -L. Thiffeault
Pattern formation in biological, chemical and physical problems has received considerable attention, with much attention paid to dissipative systems. For example, the Ginzburg--Lan…
Stability of compressible reduced magnetohydrodynamic equilibria - analogy with magnetorotational instability
Philip J. Morrison, Emanuele Tassi, Natalia Tronko
Stability analyses for equilibria of the compressible reduced magnetohydrodynamics (CRMHD) model are carried out by means of the Energy-Casimir (EC) method. Stability results are c…
Deformation of vortex patches by boundaries
A. Crosby, E. R. Johnson, P. J. Morrison
The deformation of two-dimensional vortex patches in the vicinity of fluid boundaries is investigated. The presence of a boundary causes an initially circular patch of uniform vort…