Asymptotic Wave Propagation in a non-Newtonian Compressible Fluid with Small Dissipation

Abstract

The spherical motion of a non-Newtonian compressible fluid is considered and a reductive perturbation method is used to study the point-explosion problem. The material response functions involved in the model under consideration are assumed to be of polynomial form and the resulting Burgers-like equation which governs the far-field approximation is investigated. A qualitative analysis of this equation is made via a numerical integration.