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Mathew A. Johnson

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affiliation: University of Kansas, Lawrence, KS, US
affiliation (PhD 2009): University of Illinois at Urbana-Champaign, IL, USA

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2020 – today

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2020
[j10]
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Mathew A. Johnson, Wesley R. Perkins:
Modulational Instability of Viscous Fluid Conduit Periodic Waves. SIAM J. Math. Anal. 52(1): 277-305 (2020)

2010 – 2019

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2017
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Blake Barker, Mathew A. Johnson, Pascal Noble, Luis Miguel Rodrigues, Kevin Zumbrun:
Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit. J. Nonlinear Sci. 27(1): 285-342 (2017)
2015
[j8]
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Vera Mikyoung Hur, Mathew A. Johnson:
Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations. SIAM J. Math. Anal. 47(5): 3528-3554 (2015)
2013
[j7]
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Mathew A. Johnson:
Stability of Small Periodic Waves in Fractional KdV-Type Equations. SIAM J. Math. Anal. 45(5): 3168-3193 (2013)
2012
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Blake Barker, Mathew A. Johnson, Pascal Noble, Luis Miguel Rodrigues, Kevin Zumbrun:
Stability of periodic Kuramoto-Sivashinsky waves. Appl. Math. Lett. 25(5): 824-829 (2012)
[j5]
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Mathew A. Johnson, Kevin Zumbrun:
Convergence of Hill's Method for Nonselfadjoint Operators. SIAM J. Numer. Anal. 50(1): 64-78 (2012)
2011
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Mathew A. Johnson, Kevin Zumbrun:
Nonlinear Stability of Periodic Traveling-Wave Solutions of Viscous Conservation Laws in Dimensions One and Two. SIAM J. Appl. Dyn. Syst. 10(1): 189-211 (2011)
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Mathew A. Johnson, Kevin Zumbrun, Pascal Noble:
Nonlinear Stability of Viscous Roll Waves. SIAM J. Math. Anal. 43(2): 577-611 (2011)
2010
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Mathew A. Johnson, Kevin Zumbrun:
Transverse Instability of Periodic Traveling Waves in the Generalized Kadomtsev-Petviashvili Equation. SIAM J. Math. Anal. 42(6): 2681-2702 (2010)

2000 – 2009

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2009
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Mathew A. Johnson:
Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation. SIAM J. Math. Anal. 41(5): 1921-1947 (2009)

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