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 […]
In the previous set of notes we developed a theory of “strong” solutions to the Navier-Stokes equations. This theory, based around viewing the Navier-Stokes equations as a perturbation of the linear heat equation, has many attractive features: solutions exist locally, are unique, depend continuously on the initial data, have a high degree of regularity, can […]
