Asymptotic Convergence to a Full Nonlinear Solution

A perturbation technique is used to investigate the nonlinear effects and asymptotic convergence to the full nonlinear solution in a flow that propagates omnidirectional waves in a modified set of Euler equations. The physical dissipative mechanisms considered within the differential system are viscosity (momentum diffusion) and heat conduction (energy diffusion). This asymptotic convergence is used to predict a lower bound calculated by the perturbation truncation error in the differential system.