deletions | additions       diff --git a/section_Modeling_the_Supernova_Shock__.tex b/section_Modeling_the_Supernova_Shock__.tex  index a38c624..4e14e5e 100644  --- a/section_Modeling_the_Supernova_Shock__.tex  +++ b/section_Modeling_the_Supernova_Shock__.tex 
...
\section{Modeling the Supernova Shock-CSM Interaction}  The variable radio emission from core-collapse SNe encodes but does not directly yield the mass-loss history. To infer the mass-loss history, we must first model the radio emission from a supernova shock overtaking the CSM. For relatively simple shock-CSM interactions, \citet{Chevalier_1982} \cite{Chevalier_1982}  and \citet{Chevalier_1989} \cite{Chevalier_1989}  developed analytic solutions and set the language for shock-CSM interactions. However, it is very likely that the mass-loss history is more complicated with multiple ejection events including some that are aspherical. Therefore, we will need to model the shock-CSM interations with numerical simulations.