约束耦合变量泛函的微分:通过流体动力学模型的分析
Differentiation of functionals with variables coupled by constraints: Analysis through a fluid-dynamical model
摘要:
通过分析液膜动力学中的一个应用,给出了求解函数变量耦合约束的相应约束函数导数的方法。约束导数的使用使得在依赖于时间的非平衡物理理论中可以适当地考虑约束,其中物理方程不以欧拉-拉格朗日方程出现,这与复杂液体的动力学特别相关。
英文摘要:
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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