107 citations · 1.1k across the 120 of their papers we have counts for
5 papers · 1 filter
The resistive state in a superconducting wire: Bifurcation from the normal state
Jacob Rubinstein, Peter Sternberg, Kevin Zumbrun
We study formally and rigorously the bifurcation to steady and time-periodic states in a model for a thin superconducting wire in the presence of an imposed current. Exploiting the…
Stability of strong ideal-gas shock layers
Jeffrey Humpherys, Gregory Lyng, Kevin Zumbrun
Extending recent results in the isentropic case, we use a combination of asymptotic ODE estimates and numerical Evans-function computations to examine the spectral stability of sho…
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…