Avery, Montie Front selection in reaction-diffusion systems via diffusive normal forms. (English) Zbl 07804745 Arch. Ration. Mech. Anal. 248, No. 2, Paper No. 16, 63 p. (2024). MSC: 35K40 35C07 35K57 PDFBibTeX XMLCite \textit{M. Avery}, Arch. Ration. Mech. Anal. 248, No. 2, Paper No. 16, 63 p. (2024; Zbl 07804745) Full Text: DOI arXiv
Kreten, Florian Traveling waves of an FKPP-type model for self-organized growth. (English) Zbl 1487.92005 J. Math. Biol. 84, No. 6, Paper No. 42, 41 p. (2022). MSC: 92C15 35C07 35K57 34C14 PDFBibTeX XMLCite \textit{F. Kreten}, J. Math. Biol. 84, No. 6, Paper No. 42, 41 p. (2022; Zbl 1487.92005) Full Text: DOI arXiv
Barker, Blake; Monteiro, Rafael; Zumbrun, Kevin Transverse bifurcation of viscous slow MHD shocks. (English) Zbl 1491.76032 Physica D 420, Article ID 132857, 34 p. (2021). MSC: 76E25 76E17 76W05 76L05 76M99 PDFBibTeX XMLCite \textit{B. Barker} et al., Physica D 420, Article ID 132857, 34 p. (2021; Zbl 1491.76032) Full Text: DOI arXiv
Barker, Blake; James, Jason Mireles; Morgan, Jalen Parameterization method for unstable manifolds of standing waves on the line. (English) Zbl 1473.74075 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1758-1797 (2020). MSC: 74J30 74H10 74H55 PDFBibTeX XMLCite \textit{B. Barker} et al., SIAM J. Appl. Dyn. Syst. 19, No. 3, 1758--1797 (2020; Zbl 1473.74075) Full Text: DOI
Johnson, Mathew A.; Lyng, Gregory D.; Smith, Connor On the dynamics of traveling fronts arising in nanoscale pattern formation. (English) Zbl 1453.35023 Physica D 401, Article ID 132184, 16 p. (2020). MSC: 35B35 35C07 35B36 37N20 37M05 PDFBibTeX XMLCite \textit{M. A. Johnson} et al., Physica D 401, Article ID 132184, 16 p. (2020; Zbl 1453.35023) Full Text: DOI arXiv
Ghazaryan, Anna; Lafortune, Stephane; Manukian, Vahagn Spectral analysis of fronts in a Marangoni-driven thin liquid film flow down a slope. (English) Zbl 1435.76027 SIAM J. Appl. Math. 80, No. 1, 95-118 (2020). Reviewer: Vladimir Mityushev (Kraków) MSC: 76E17 76A20 PDFBibTeX XMLCite \textit{A. Ghazaryan} et al., SIAM J. Appl. Math. 80, No. 1, 95--118 (2020; Zbl 1435.76027) Full Text: DOI
Ozbag, Fatih; Schecter, Stephen Stability of combustion waves in a simplified gas-solid combustion model in porous media. (English) Zbl 1402.80005 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2117, Article ID 20170185, 19 p. (2018). MSC: 80A25 76A15 80M25 76S05 PDFBibTeX XMLCite \textit{F. Ozbag} and \textit{S. Schecter}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2117, Article ID 20170185, 19 p. (2018; Zbl 1402.80005) Full Text: DOI
Barker, B.; Humpherys, J.; Lyng, G.; Lytle, J. Evans function computation for the stability of travelling waves. (English) Zbl 1402.65052 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2117, Article ID 20170184, 25 p. (2018). MSC: 65L05 34B15 35C07 35Q30 35B35 PDFBibTeX XMLCite \textit{B. Barker} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2117, Article ID 20170184, 25 p. (2018; Zbl 1402.65052) Full Text: DOI
Ghazaryan, Anna; Lafortune, Stephane; Manukian, Vahagn Stability of nonlinear waves and patterns and related topics. (English) Zbl 1402.35245 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2117, Article ID 20180001, 7 p. (2018). MSC: 35Q53 35C07 35Q55 35B35 PDFBibTeX XMLCite \textit{A. Ghazaryan} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2117, Article ID 20180001, 7 p. (2018; Zbl 1402.35245) Full Text: DOI
Barker, Blake; Nguyen, Rose; Sandstede, Björn; Ventura, Nathaniel; Wahl, Colin Computing Evans functions numerically via boundary-value problems. (English) Zbl 1380.65033 Physica D 367, 1-10 (2018). MSC: 65D15 35P05 35C07 35K57 35Q53 PDFBibTeX XMLCite \textit{B. Barker} et al., Physica D 367, 1--10 (2018; Zbl 1380.65033) Full Text: DOI arXiv
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
Wu, Yaping; Yan, Niannian Stability of traveling waves for autocatalytic reaction systems with strong decay. (English) Zbl 1360.35038 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1601-1633 (2017). MSC: 35C07 35B35 35K57 47A75 62M15 34L16 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{N. Yan}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1601--1633 (2017; Zbl 1360.35038) Full Text: DOI
Barker, Blake; Zumbrun, Kevin Numerical proof of stability of viscous shock profiles. (English) Zbl 1356.35170 Math. Models Methods Appl. Sci. 26, No. 13, 2451-2469 (2016). MSC: 35Q35 65G30 76N15 35C07 35B35 76L05 68T15 PDFBibTeX XMLCite \textit{B. Barker} and \textit{K. Zumbrun}, Math. Models Methods Appl. Sci. 26, No. 13, 2451--2469 (2016; Zbl 1356.35170) Full Text: DOI arXiv
Barker, Blake; Humpherys, Jeffrey; Lyng, Gregory; Zumbrun, Kevin Viscous hyperstabilization of detonation waves in one space dimension. (English) Zbl 1320.35271 SIAM J. Appl. Math. 75, No. 3, 885-906 (2015). MSC: 35Q35 76L05 80A32 35B35 35C07 PDFBibTeX XMLCite \textit{B. Barker} et al., SIAM J. Appl. Math. 75, No. 3, 885--906 (2015; Zbl 1320.35271) 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