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- W3100158520 abstract "We develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of $k$-contact structure and $k$-contact Hamiltonian system. This is a generalization of both the contact Hamiltonian systems in mechanics and the $k$-symplectic Hamiltonian systems in field theory. The concepts of symmetries and dissipation laws are introduced and developed. Two relevant examples are analyzed in detail: the damped vibrating string and Burgers' equation." @default.
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- W3100158520 date "2020-03-01" @default.
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- W3100158520 title "A contact geometry framework for field theories with dissipation" @default.
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- W3100158520 doi "https://doi.org/10.1016/j.aop.2020.168092" @default.
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