Differentiation of functionals with variables coupled by constraints: Analysis through a fluid-dynamical model

Details Differentiation of functionals with variables coupled by constraints: Analysis through a fluid-dynamical model Differentiation of functionals with variables coupled by constraints: Analysis through a fluid-dynamical model

2007-01-11

arxiv.org/abs/physics/0701145v2

J. Math. Phys. 48, 053520 (2007)

Physics

Fluid Dynamics

12 pages; with further cases of coupling added, extended opening discussion of constrained derivative, and some notation chang

Scientific paper

10.1063/1.2737265

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.

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