18 citations · 42 across the 4 of their papers we have counts for
4 papers
Nonlocal orientation-dependent dynamics of molecular strands
Darryl D. Holm, Vakhtang Putkaradze
Time-dependent Hamiltonian dynamics is derived for a curve (molecular strand) in that experiences both nonlocal (for example, electrostatic) and elastic interactions…
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…
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…
Geometric gradient-flow dynamics with singular solutions
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci
The gradient-flow dynamics of an arbitrary geometric quantity is derived using a generalization of Darcy's Law. We consider flows in both Lagrangian and Eulerian formulations. The…