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Jeremiah edited section_Modeling_the_Supernova_Shock__.tex
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\section{Modeling the Supernova
Shock-CSM Shock-Circumstellar (CSM) Interaction to Infer Mass-loss History}
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, \cite{Chevalier_1982} and \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.