A Variational Principle for Dissipative Systems

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  • 散逸系の変分原理
  • 最近の研究から 散逸系の変分原理
  • サイキン ノ ケンキュウ カラ サンイツケイ ノ ヘン ブン ゲンリ

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Abstract

<p>We formulate a variational principle for dissipative systems in terms of optimal control theory by regarding the generalized coordinate, generalized velocity and action functional as the state variable, control variable, and cost functional, respectively. The nonholonomic constraint in a dissipative system is given by the equation of entropy, which should be consistent with symmetry, the second law of thermodynamics, and well-posedness. In this formulation, we can derive equations of motion for various dissipative systems. We describe the detailed derivation for a damped harmonic oscillator, a Newtonian fluid, and a viscoelastic material.</p>

Journal

  • Butsuri

    Butsuri 72 (1), 34-38, 2017

    The Physical Society of Japan

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