576 citations · 1.9k across the 50 of their papers we have counts for
3 papers · 1 filter
The Complex Geometry of Weak Piecewise Smooth Solutions of Integrable Nonlinear PDE's of Shallow Water and Dym Type
Mark S. Alber, Roberto Camassa, Yuri N. Fedorov +2
An extension of the algebraic-geometric method for nonlinear integrable PDE's is shown to lead to new piecewise smooth weak solutions of a class of -component systems of nonline…
Dissipation induced Instabilities and the Mechanical Laser
Marcel G. Clerc, Jerrold E. Marsden
We study the 1:1 resonance for perturbed Hamiltonian systems with small dissipative and energy injection terms. These perturbations of the 1:1 resonance exhibit dissipation induced…
An Optimal Control Formulation for Inviscid Incompressible Ideal Fluid Flow
A. M. Bloch, P. E. Crouch, D. D. Holm +1
In this paper we consider the Hamiltonian formulation of the equations of incompressible ideal fluid flow from the point of view of optimal control theory. The equations are compar…