Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit. (English) Zbl 1373.35040 J. Nonlinear Sci. 27, No. 1, 285-342 (2017). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B35 35Q35 35Q53 PDFBibTeX XMLCite \textit{B. Barker} et al., J. Nonlinear Sci. 27, No. 1, 285--342 (2017; Zbl 1373.35040) Full Text: DOI arXiv
Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation. (English) Zbl 1304.35184 Physica D 258, 11-46 (2013). MSC: 35C07 35B35 35K57 PDFBibTeX XMLCite \textit{B. Barker} et al., Physica D 258, 11--46 (2013; Zbl 1304.35184) Full Text: DOI arXiv
Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin Stability of periodic Kuramoto-Sivashinsky waves. (English) Zbl 1238.35094 Appl. Math. Lett. 25, No. 5, 824-829 (2012). MSC: 35Q35 35B35 35C07 PDFBibTeX XMLCite \textit{B. Barker} et al., Appl. Math. Lett. 25, No. 5, 824--829 (2012; Zbl 1238.35094) Full Text: DOI arXiv
Johnson, Mathew A.; Zumbrun, Kevin Convergence of Hill’s method for nonselfadjoint operators. (English) Zbl 1246.65134 SIAM J. Numer. Anal. 50, No. 1, 64-78 (2012). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 65L15 34L15 47N20 47N40 PDFBibTeX XMLCite \textit{M. A. Johnson} and \textit{K. Zumbrun}, SIAM J. Numer. Anal. 50, No. 1, 64--78 (2012; Zbl 1246.65134) Full Text: DOI arXiv
Barker, Blake; Johnson, Mathew A.; Rodrigues, L. Miguel; Zumbrun, Kevin Metastability of solitary roll wave solutions of the St. Venant equations with viscosity. (English) Zbl 1223.37109 Physica D 240, No. 16, 1289-1310 (2011). MSC: 37N10 37K40 37K45 76D33 76E15 PDFBibTeX XMLCite \textit{B. Barker} et al., Physica D 240, No. 16, 1289--1310 (2011; Zbl 1223.37109) Full Text: DOI arXiv
Bronski, Jared C.; Johnson, Mathew A. The modulational instability for a generalized Korteweg-de Vries equation. (English) Zbl 1221.35325 Arch. Ration. Mech. Anal. 197, No. 2, 357-400 (2010). MSC: 35Q53 35B35 PDFBibTeX XMLCite \textit{J. C. Bronski} and \textit{M. A. Johnson}, Arch. Ration. Mech. Anal. 197, No. 2, 357--400 (2010; Zbl 1221.35325) Full Text: DOI arXiv