Blake Barker

Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation

Blake Barker, Mathew A. Johnson, Pascal Noble et al. · Physica D Nonlinear Phenomena · 2013 · 63 citations · Full text

Generalized Kuramoto–sivashinsky Equation, Nonlinear Wave Propagation, Nonlinear Modulational Stability +2

One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics

Blake Barker, Jeffrey Humpherys, Kevin Zumbrun · Journal of Differential Equations · 2010 · 35 citations · Full text

Magnetism, Engineering, Physics +8

Metastability of solitary roll wave solutions of the St. Venant equations with viscosity

Blake Barker, Mathew A. Johnson, L. Miguel Rodrigues et al. · Physica D Nonlinear Phenomena · 2011 · 26 citations · Full text

Physics, Fluid Mechanics, Oscillation Theory +6

Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow

Blake Barker · Journal of Differential Equations · 2014 · 21 citations

Unsteady Flow, Engineering, Physics +7

Existence and stability of steady states of a reaction convection diffusion equation modeling microtubule formation

Shantia Yarahmadian, Blake Barker, Kevin Zumbrun et al. · Journal of Mathematical Biology · 2010 · 19 citations

Steady States, Engineering, Microtubule Formation +9