Split delta shocks and applications to conservation law systems

Date

2019-1

Type

PhD Thesis

Thesis title

Author(s)

SANA MOHAMED ABDULWANIS MOHAMED

Abstract

A split delta shock is a representation of the Dirac delta function. It is made to provide a way of using it in nonlinear PDEs. We define a notion of a split delta shock inverse and use it for solving Riemann initial data problem for a special chromatography model. The obtained solution is unique in distributional sense