Mathematical Methods in Dynamical Systems

7Min-Max Game Theory for Coupled Partial Differential Equation Systems in Fluid Structure

S. M. Chithra

DOI: 10.1201/9781003328032-7

Contents

• 7.1 Introduction

• 7.2 Game Theory Structure

  • 7.2.1 Definition: Normal Form

  • 7.2.2 Definition: Constant/General Sum Game

    • 7.2.2.1 Strategic Form Games

  • 7.2.3 Definition: Strategic Form – 2 Player Games

  • 7.2.4 Definition: Unit and Zero Vectors

  • 7.2.5 Definition: Symmetric and Equilibrium Game

• 7.3 The Fluid-Structure Interaction Model

  • 7.3.1 Control/Disturbance PDE Model

  • 7.3.2 Mathematical Model

• 7.4 Min-Max Game Theory Structure

  • 7.4.1 Abstract of Dynamics

    • 7.4.1.1 Hypothesis

  • 7.4.2 Finite Time Interval of Game Structure

  • 7.4.3 In the Semi-Group

• 7.5 Min-Max Game Theory in Flexible and Visco-Elastic

  • 7.5.1 Abstract ...