576 citations · 1.9k across the 50 of their papers we have counts for
8 papers · 1 filter
Geometric, Variational Discretization of Continuum Theories
Evan S. Gawlik, Patrick Mullen, Dmitry Pavlov +2
This study derives geometric, variational discretizations of continuum theories arising in fluid dynamics, magnetohydrodynamics (MHD), and the dynamics of complex fluids. A central…
Multi-Dirac Structures and Hamilton-Pontryagin Principles for Lagrange-Dirac Field Theories
Joris Vankerschaver, Hiroaki Yoshimura, Jerrold E. Marsden
The purpose of this paper is to define the concept of multi-Dirac structures and to describe their role in the description of classical field theories. We begin by outlining a vari…
The Dynamics of a Rigid Body in Potential Flow with Circulation
Joris Vankerschaver, Eva Kanso, Jerrold E. Marsden
We consider the motion of a two-dimensional body of arbitrary shape in a planar irrotational, incompressible fluid with a given amount of circulation around the body. We derive the…
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…
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 Class of Integrable Geodesic Flows on the Symplectic Group and the Symmetric Matrices
Anthony M. Bloch, Arieh Iserles, Jerrold E. Marsden +1
This paper shows that the left-invariant geodesic flow on the symplectic group relative to the Frobenius metric is an integrable system that is not contained in the Mishchenko-Fome…