4 papers
Reduction of exact symplectic manifolds and energy hypersurfaces
J. Lange, B. M. Zawora
This article introduces two reduction schemes for Hamiltonian systems on an exact symplectic manifold admitting Lie group symmetries. It is demonstrated that these reduction proced…
Marsden--Meyer--Weinstein reduction for -contact field theories
J. de Lucas, X. Rivas, S. Vilarino +1
This work devises a Marsden--Meyer--Weinstein -contact reduction. Our techniques are illustrated with several examples of mathematical and physical relevance. As a byproduct, we…
Stability analysis of the -dimensional Nambu-Goto action gas models
Alfred M. Grundland, Javier de Lucas, Bartosz M. Zawora
The aim of this paper is to perform a nonlinear stability analysis of the -dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in deta…
Symmetries and Noether's theorem for multicontact field theories
Xavier Rivas, Narciso Román-Roy, Bartosz M. Zawora
A geometric framework, called multicontact geometry, has recently been developed to study action-dependent field theories. In this work, we use this framework to analyze symmetries…