107 citations · 419 across the 18 of their papers we have counts for
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math.AP2007★ 20 cited
Spectral stability of noncharacteristic isentropic Navier-Stokes boundary layers
Nicola Costanzino, Jeffrey Humpherys, Toan Nguyen +1
Building on work of Barker, Humpherys, Lafitte, Rudd, and Zumbrun in the shock wave case, we study stability of compressive, or "shock-like", boundary layers of the isentropic comp…
math.AP2007★ 29 cited
Stability of viscous shocks in isentropic gas dynamics
Blake Barker, Jeffrey Humpherys, Keith Rudd +1
In this paper, we examine the stability problem for viscous shock solutions of the isentropic compressible Navier--Stokes equations, or -system with real viscosity. We first rev…