107 citations · 1.1k across the 120 of their papers we have counts for
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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…
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…
Stability of undercompressive viscous shock profiles of hyperbolic--parabolic systems
Mohammadreza Raoofi, Kevin Zumbrun
Extending to systems of hyperbolic--parabolic conservation laws results of Howard and Zumbrun for strictly parabolic systems, we show for viscous shock profiles of arbitrary amplit…