Congratulations to former PhD student and now Dr. Sandeep Murthy on his publication of Resolvent Analysis for Shock-Laden Flows in the Journal of Fluid Mechanics. Through detailed and inspired analysis, Sandeep shows how to properly interpret the input-output-gain structure of the linearized Navier-Stokes operator in the presence of a shock wave using inviscid, viscous, and vanishing viscosity arguments. A screenshot of the abstract and important figure is below, with more details in the above link.
