Nonholonomic constraints in classical field theories
E. Binz, M. de Leon, D. Martin de Diego, D. Socolescu
TL;DR
This paper develops a multisymplectic framework for classical field theories with non-holonomic constraints, extending the geometric approach to include constrained systems in an infinite-dimensional setting.
Contribution
It introduces a multisymplectic formulation for constrained classical field theories and describes the infinite-dimensional Cauchy data space for such systems.
Findings
Formulation of multisymplectic structure for nonholonomic constraints
Extension to infinite-dimensional Cauchy data space
Framework applicable to a broad class of constrained field theories
Abstract
A multisymplectic setting for classical field theories subjected to non-holonomic constraints is presented. The infinite dimensional setting in the space of Cauchy data is also given.
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