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arXiv · 2002.10458

A $k$-contact Lagrangian formulation for nonconservative field theories

Jordi Gaset·Xavier Gràcia·Miguel C. Muñoz-Lecanda·Xavier Rivas·Narciso Román-Roy
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Abstract

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.

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Jordi Gaset, Xavier Gràcia, Miguel C. Muñoz-Lecanda, Xavier Rivas, Narciso Román-Roy. 2020-02-24. A $k$-contact Lagrangian formulation for nonconservative field theories. https://doi.org/10.1016/s0034-4877(21)00041-0

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