64 citations · 250 across the 24 of their papers we have counts for
3 papers · 1 filter
Computing Evans functions numerically via boundary-value problems
Blake Barker, Rose Nguyen, Björn Sandstone +2
The Evans function has been used extensively to study spectral stability of travelling-wave solutions in spatially extended partial differential equations. To compute Evans functio…
Balanced flux formulations for multidimensional Evans function computations for viscous shocks
Blake Barker, Jeffrey Humpherys, Gregory Lyng +1
The Evans function is a powerful tool for the stability analysis of viscous shock profiles; zeros of this function carry stability information. In the one-dimensional case, it is t…
Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves
Blake Barker, Soyeun Jung, Kevin Zumbrun
Turing patterns on unbounded domains have been widely studied in systems of reaction-diffusion equations. However, up to now, they have not been studied for systems of conservation…