C. Curro et G. Valenti, ASYMPTOTIC WAVE-PROPAGATION IN A NON-NEWTONIAN COMPRESSIBLE FLUID WITH SMALL DISSIPATION, Journal of engineering mathematics, 33(4), 1998, pp. 403-419
The spherical motion of a non-Newtonian compressible fluid is consider
ed and a reductive perturbation method is used to study the point-expl
osion problem. The material response functions involved in the model u
nder consideration an assumed to be of polynomial form and the resulti
ng Burgers-like equation which governs the far-held approximation is i
nvestigated. A qualitative analysis of this equation is made via a num
erical integration.