First variation formula and conservation laws in several independent discrete variables

DOI10.1016/j.geomphys.2011.09.009zbMath1243.39003OpenAlexW2051852389MaRDI QIDQ654799

Ana Cristina Casimiro, César Rodrigo

Publication date: 21 December 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.09.009

zbMATH Keywords

conservation lawscritical pointsfirst variation formuladiscrete calculus of variationsabstract cellular complexadjoint difference operatordiscrete Euler equationspartial difference operatorsvector bundle morphism

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) General theory of partial differential operators (47F05) Discrete version of topics in analysis (39A12) Difference operators (39A70) Discrete approximations in optimal control (49M25) Optimality conditions for free problems in two or more independent variables (49K10) Partial difference equations (39A14)

Related Items (4)

Variational methods for fractional \(q\)-Sturm-Liouville problems ⋮ First variation formula for discrete variational problems in two independent variables ⋮ Discrete formulation for the dynamics of rods deforming in space ⋮ The problem of Lagrange in discrete field theory

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