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math-ph2025
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…
math-ph2025
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…
math-ph2023
An energy-momentum method for ordinary differential equations with an underlying -polysymplectic manifold
Leonardo Colombo, Javier de Lucas, Xavier Rivas +1
This work presents a comprehensive review of the -polysymplectic Marsden-Weinstein reduction theory, rectifying prior errors and inaccuracies in the literature while introducing…