The Hamiltonian Field Theory of the Von Mises Wave Equation: Analytical and Computational Issues

摘要: The Von Mises quasi-linear second order wave equation, which completely describes an irrotational, compressible and barotropic classical perfect fluid, can be derived from a nontrivial least action principle for the velocity scalar potential only, in contrast to existing analog formulations are expressed terms of coupled density fields. In this article, classicalHamiltonian field theory specifically associated such equation is developed polytropic case numerically verified simplified situation. existence mathematical structure suggests new theoretical schemes possibly useful performing numerical integrations fluid dynamical equations. Moreover it justifies possible functional forms Lagrangian densities Hamiltonian functions other physics contexts.