Bracket formulation as a source for the development of dynamic equations in continuum mechanics

DOI10.1016/S0377-0257(00)00131-2zbMath0992.70015OpenAlexW2049092740MaRDI QIDQ1840876

Antony N. Beris

Publication date: 3 September 2002

Published in: Journal of Non-Newtonian Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0257(00)00131-2

zbMATH Keywords

entropyHamiltonianPoisson bracketLegendre transformnonequilibrium thermodynamicstwo-generator bracket formalismextended free energyextended internal energyGENERIC frameworkone-generator bracket formalsmPoissons structure

Mathematics Subject Classification ID

Hamilton's principle (70H25) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Hamiltonian and Lagrangian mechanics (70H99)

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