107 citations · 1.1k across the 120 of their papers we have counts for
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The Erpenbeck high frequency instability theorem for ZND detonations
Olivier Lafitte, Mark Williams, Kevin Zumbrun
The rigorous study of spectral stability for strong detonations was begun by J.J. Erpenbeck in [Er1]. Working with the Zeldovitch-von Neumann-Döring (ZND) model, which assumes a fi…
Long-time stability of multi-dimensional noncharacteristic viscous boundary layers
Toan Nguyen, Kevin Zumbrun
We establish long-time stability of multi-dimensional noncharacteristic boundary layers of a class of hyperbolic--parabolic systems including the compressible Navier--Stokes equati…
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…
Stability of large-amplitude shock waves of compressible Navier--Stokes equations
Kevin Zumbrun
We summarize recent progress on one- and multi-dimensional stability of viscous shock wave solutions of compressible Navier--Stokes equations and related symmetrizable hyperbolic--…