A K-contact Lagrangian formulation for nonconservative field theories

نویسندگان

چکیده

We present a geometric Lagrangian formulation for first-order field theories with dissipation. This is based on the $k$-contact geometry introduced in previous paper, and gathers contact mechanics $k$-symplectic theory together. also study symmetries dissipation laws these nonconservative theories, analyze some examples.

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ژورنال

عنوان ژورنال: Reports on Mathematical Physics

سال: 2021

ISSN: ['0034-4877', '1879-0674']

DOI: https://doi.org/10.1016/s0034-4877(21)00041-0