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Author

C. Sardón

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Open access Apr 2026

Hamilton–Jacobi theory for non-conservative field theories in the k-contact framework

This article develops a Hamilton–Jacobi theory for non-conservative classical field theories, with particular emphasis on dissipative systems, in the framework of co-oriented k-contact geometry. We introduce evolution k-contact k-vector fields, extending the contact evolution formalism to field theories, and analyse th...

J. de Lucas, J. Lange, Xavier Rivas et al. · 1 citation
Preprint Aug 2026

A Morse-Family Integrator for Hamilton--Jacobi Dynamics Across Caustics

We develop a geometric framework for implicit discrete Hamiltonian systems based on discrete Morse families, Lagrangian relations, and discrete analogues of Tulczyjew's triple. The main idea is to regard the Lagrangian submanifold defining the discrete dynamics, rather than an explicit symplectic evolution map, as the...

F. Jiménez Alburquerque, M. Leok, C. Sardón et al. · 0 citations

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