Differentiation of functionals with variables coupled by constraints: Analysis through a fluid-dynamical model
Fluid Dynamics
2007-06-01 v2 Mathematical Physics
Functional Analysis
math.MP
Abstract
Analysing an application in liquid film dynamics, a guide for obtaining the corresponding constrained functional derivatives for constraints coupling the functional variables is given. The use of constrained derivatives makes the proper account for constraints possible in time-dependent, nonequilibrium physical theories, with physical equations not emerging as Euler-Lagrange equations, which is especially relevant with respect to the dynamics of complex liquids.
Cite
@article{arxiv.physics/0701145,
title = {Differentiation of functionals with variables coupled by constraints: Analysis through a fluid-dynamical model},
author = {Tamas Gal},
journal= {arXiv preprint arXiv:physics/0701145},
year = {2007}
}
Comments
12 pages; with further cases of coupling added, extended opening discussion of constrained derivative, and some notation changed