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Blake Barker, Ph.D.

Affiliations: 
2014 Mathematics Indiana University, Bloomington, Bloomington, IN, United States 
Area:
Mathematics
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"Blake Barker"
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Kevin R Zumbrun grad student 2014 Indiana University
 (Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow.)

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Barker B, James JM, Morgan J. (2020) Parameterization Method for Unstable Manifolds of Standing Waves on the Line Siam Journal On Applied Dynamical Systems. 19: 1758-1797
Barker B, Humpherys J, Lyng G, et al. (2018) Evans function computation for the stability of travelling waves. Philosophical Transactions of the Royal Society A. 376: 20170184
Barker B, Humpherys J, Lyng G, et al. (2018) Euler Versus Lagrange: The Role of Coordinates in Practical Evans-Function Computations Siam Journal On Applied Dynamical Systems. 17: 1766-1785
Barker B, Jung S, Zumbrun K. (2018) Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves Physica D: Nonlinear Phenomena. 367: 11-18
Barker B, Nguyen R, Sandstede B, et al. (2018) Computing Evans functions numerically via boundary-value problems Physica D: Nonlinear Phenomena. 367: 1-10
Barker B, Humpherys J, Lyng G, et al. (2017) Balanced flux formulations for multidimensional Evans-function computations for viscous shocks Quarterly of Applied Mathematics. 76: 531-545
Barker B, Johnson MA, Noble P, et al. (2017) Note on the stability of viscous roll waves Comptes Rendus MéCanique. 345: 125-129
Barker B, Zumbrun K. (2016) Numerical proof of stability of viscous shock profiles Mathematical Models and Methods in Applied Sciences. 26: 2451-2469
Barker B, Johnson MA, Noble P, et al. (2016) Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit Journal of Nonlinear Science. 1-58
Barker B, Humpherys J, Lyng G, et al. (2015) Viscous hyperstabilization of detonation waves in one space dimension Siam Journal On Applied Mathematics. 75: 885-906
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