Exact geometric theory of dendronized polymer dynamics

DOI10.1016/j.aam.2011.11.006zbMath1257.82113arXiv1005.2701OpenAlexW2072348183MaRDI QIDQ413571

Darryl D. Holm, François Gay-Balmaz, Vakhtang Putkaradze, Tudor S. Ratiu

Publication date: 7 May 2012

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2701

zbMATH Keywords

modelingEuler-Lagrange equationsvariational principlePoisson bracketcocyclesemidirect productEuler-Poincaré equationssymmetry reductionmomentum mappolymer dynamicsnonlocal potential

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Statistical mechanics of polymers (82D60) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (4)

On flexible tubes conveying fluid: geometric nonlinear theory, stability and dynamics ⋮ Dynamics regularization with tree-like structures ⋮ Stochastic variational principles for dissipative equations with advected quantities ⋮ Dynamics of elastic strands with rolling contact

Cites Work

• Geometric dynamics of optimization
• Symmetry reduced dynamics of charged molecular strands
• Nonlocal orientation-dependent dynamics of charged strands and ribbons
• The geometric structure of complex fluids
• The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• The momentum map representation of images
• Helical states of nonlocally interacting molecules and their linear stability: a geometric approach
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