Isentropic Approximation of Quasi–One-Dimensional Unsteady Nozzle Flow

Abstract

For the quasi–one-dimensional unsteady nozzle flow under the assumptions that both the initial data and the area of varying cross-sections have sufficiently small total variation, we proved that in any bounded domain the $L^1$ norm of the difference between solutions of isentropic and non-isentropic balance laws with the same initial data can be bounded by the cube of the total variation of the initial data and the area of varying cross-sections.