52 citations · 64 across the 4 of their papers we have counts for
11 papers
Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories
Mark J. Gotay, James Isenberg, Jerrold E. Marsden
With the covariant formulation in hand from the first paper of this series (physics/9801019), we begin in this second paper to study the canonical (or ``instantaneous'') formulatio…
A Dynamic alpha Model for the Lagrangian Averaged Navier-Stokes-alpha Equations
Hongwu Zhao, Kamran Mohseni, Jerrold E. Marsden
This paper has been withdrawn by the authors for adding some results.
Momentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets) for the EPDiff Equation
Darryl D. Holm, Jerrold E. Marsden
We study the dynamics of measure-valued solutions of what we call the EPDiff equations, standing for the {\it Euler-Poincaré equations associated with the diffeomorphism group (of…
Lagrangian Averaging for Compressible Fluids
H. S. Bhat, R. C. Fetecau, J. E. Marsden +2
This paper extends the derivation of the Lagrangian averaged Euler (LAE-) equations to the case of barotropic compressible flows. The aim of Lagrangian averaging is to regulariz…
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…