A symplectic Brezis-Ekeland-Nayroles principle

Abstract

We propose a modification of the hamiltonian formalism which can be used for dissipative systems. This work continues arXiv:0810.1419 and advances by the introduction of a symplectic version of the Brezis-Ekeland-Nayroles principle [Brezis Ekeland 1976] [Nayroles 1976]. As an application we show how standard plasticity can be treated in our formalism.

References in corpus (2)

• GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles
• Variational convergence of gradient flows and rate-independent evolutions in metric spaces

Cited by in corpus (2)

• Generalized and graded geometry for mechanics: a comprehensive introduction
• Dissipation and the information content of the deviation from hamiltonian dynamics