We present a geometric Lagrangian formulation for first-order field theories with dissipation. This formulation is based on the k-contact geometry introduced in a previous paper, and gathers contact Lagrangian mechanics with k-symplectic Lagrangian field theory together. We also study the symmetries and dissipation laws for these nonconservative theories, and analyze some examples.
@article{arxiv.2002.10458,
title = {A $k$-contact Lagrangian formulation for nonconservative field theories},
author = {Jordi Gaset and Xavier Gràcia and Miguel C. Muñoz-Lecanda and Xavier Rivas and Narciso Román-Roy},
journal= {arXiv preprint arXiv:2002.10458},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1905.07354