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math.AP2017
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…
math.AP2017★ 6 cited
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…