576 citations · 1.9k across the 50 of their papers we have counts for
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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…