Energy balance invariance for interacting particle systems

DOI10.1007/s00033-008-8059-1zbMath1171.70007OpenAlexW2159489046MaRDI QIDQ834577

Arash Yavari, Jerrold E. Marsden

Publication date: 27 August 2009

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-008-8059-1

zbMATH Keywords

Riemannian manifoldEuclidean spacediscrete Doyle-Ericksen formulatime-dependent spatial diffeomorphisms

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) 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) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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Dual Eshelby stress tensors and related integrals in micropolar elasticity with body forces and couples ⋮ A geometric theory of growth mechanics ⋮ Useful Conservation Sums in Molecular Dynamics and Atomistics ⋮ Stationary States of Dirac--Klein--Gordon Systems with Nonlinear Interacting Terms ⋮ Covariant balance laws in continua with microstructure ⋮ Riemann-Cartan geometry of nonlinear dislocation mechanics ⋮ Nonlinear and linear elastodynamic transformation cloaking ⋮ Geometric derivation of the microscopic stress: a covariant central force decomposition

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