On existence and stability analysis of a nonlinear conservation law model appearing in production system

Abstract

This paper deals with a velocity model of production system based on hyperbolic conservation laws. Velocity may possess nonlocal characterization as well as local feature. Due to yield
loss phenomena in the production system, governing equation becomes nonhomogeneous in nature. Under certain assumptions, existence and uniqueness of weak solution have been studied. Results on regularity properties and stability analysis of the weak solution have been presented.