107 citations · 1.1k across the 120 of their papers we have counts for
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Low-frequency stability analysis of periodic traveling-wave solutions of viscous conservation laws in several dimensions
Mhyunghyun Oh, Kevin Zumbrun
We generalize work of Oh & Zumbrun and Serre on spectral stability of spatially periodic traveling waves of systems of viscous conservation laws from the one-dimensional to the mul…
Sharp pointwise bounds for perturbed viscous shock waves
Peter Howard, Mohammadreza Raoofi, Kevin Zumbrun
Refining previous work in \cite{Z.3, MaZ.3, Ra, HZ, HR}, we derive sharp pointwise bounds on behavior of perturbed viscous shock profiles for large-amplitude Lax or overcompressive…
Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems
Olivier Gues, Guy Metivier, Mark Williams +1
Answering a question left open in \cite{MZ2}, we show for general symmetric hyperbolic boundary problems with constant coefficients, including in particular systems with characteri…
An efficient shooting algorithm for Evans function calculations in large systems
Jeffrey Humpherys, Kevin Zumbrun
In Evans function computations of the spectra of asymptotically constant-coefficient linear operators, a basic issue is the efficient and numerically stable computation of subspace…