52 citations · 77 across the 12 of their papers we have counts for
5 papers · 1 filter
Parametrization and Stress-Energy-Momentum Tensors in Metric Field Theories
Marco Castrillon Lopez, Mark J. Gotay, Jerrold E. Marsden
We give an exposition of the parametrization method of Kuchar [1973] in the context of the multisymplectic approach to field theory, as presented in Gotay and Marsden [2008a]. The…
The Lie-Poisson Structure of the Euler Equations of an Ideal Fluid
Sergiy Vasylkevych, Jerrold E. Marsden
This paper provides a precise sense in which the time t map for the Euler equations of an ideal fluid in a region in R^n (or a smooth compact n-manifold with boundary) is a Poisson…
Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor
Marco Castrillon Lopez, Mark J. Gotay, Jerrold E. Marsden
We show how to "concatenate" variational principles over different bases into one over a single base, thereby providing a unified Lagrangian treatment of interacting systems. As an…
A mechanistic model of separation bubble
R. Krechetnikov, J. E. Marsden, H. M. Nagib
This work uncovers the low-dimensional nature the complex dynamics of actuated separated flows. Namely, motivated by the problem of model-based predictive control of separated flow…
Controlled Lagrangians and Stabilization of Discrete Mechanical Systems I
Anthony M. Bloch, Melvin Leok, Jerrold E. Marsden +1
Controlled Lagrangian and matching techniques are developed for the stabilization of relative equilibria and equilibria of discrete mechanical systems with symmetry as well as brok…