Stability of isentropic Navier-Stokes shocks. - Blake Barker; Jeffrey Humpherys; Olivier D. Lafitte; Keith Rudd; Kevin Zumbrun (Appl. Math. Lett., 2008)

Stability of periodic Kuramoto-Sivashinsky waves. - Blake Barker; Mathew A. Johnson; Pascal Noble; Luis Miguel Rodrigues; Kevin Zumbrun (Appl. Math. Lett., 2012)

STABLAB Documentation for KdV : Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow. - Blake Barker (CoRR, 2014)

Viscous Hyperstabilization of Detonation Waves in One Space Dimension. - Blake Barker; Jeffrey Humpherys; Gregory Lyng; Kevin Zumbrun (SIAM J. Appl. Math., 2015)

Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit. - Blake Barker; Mathew A. Johnson; Pascal Noble; Luis Miguel Rodrigues; Kevin Zumbrun (J. Nonlinear Sci., 2017)

Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations. - Blake Barker; Jeffrey Humpherys; Gregory Lyng; Kevin Zumbrun (SIAM J. Appl. Dyn. Syst., 2018)

Parameterization Method for Unstable Manifolds of Standing Waves on the Line. - Blake Barker; Jason D. Mireles-James; Jalen Morgan (SIAM J. Appl. Dyn. Syst., 2020)

Minimizers of a free boundary problem on three-dimensional cones. - Mark Allen; Blake Barker; Jason Gardiner; Mingyan Zhao (CoRR, 2021)