245 citations · 667 across the 24 of their papers we have counts for
8 papers · 1 filter
Kinetic models of heterogeneous dissipation
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
We suggest kinetic models of dissipation for an ensemble of interacting oriented particles, for example, moving magnetized particles. This is achieved by introducing a double brack…
Emergent singular solutions of non-local density-magnetization equations in one dimension
Darryl D. Holm, Lennon O. Naraigh, Cesare Tronci
We investigate the emergence of singular solutions in a non-local model for a magnetic system. We study a modified Gilbert-type equation for the magnetization vector and find that…
Three regularization models of the Navier-Stokes equations
J. Pietarila Graham, Darryl Holm, Pablo Mininni +1
We determine how the differences in the treatment of the subfilter-scale physics affect the properties of the flow for three closely related regularizations of Navier-Stokes. The c…
Vlasov moments, integrable systems and singular solutions
John Gibbons, Darryl D Holm, Cesare Tronci
The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known Lie-Poisson Hamiltonian system. Remarkably, the o…
Complexified Dynamical Systems
Carl M. Bender, Darryl D. Holm, Daniel W. Hook
Many dynamical systems, such as the Lotka-Volterra predator-prey model and the Euler equations for the free rotation of a rigid body, are PT symmetric. The standard and well-known…
Geometric dissipation in kinetic equations
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
A new symplectic variational approach is developed for modeling dissipation in kinetic equations. This approach yields a double bracket structure in phase space which generates kin…