Ivanov, Milen; Sandstede, Björn Truncation of contact defects in reaction-diffusion systems. (English) Zbl 07796513 SIAM J. Appl. Dyn. Syst. 23, No. 1, 26-49 (2024). Reviewer: Jia-Yuan Dai (Taichung) MSC: 35K57 35B10 35B36 35K45 PDFBibTeX XMLCite \textit{M. Ivanov} and \textit{B. Sandstede}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 26--49 (2024; Zbl 07796513) Full Text: DOI arXiv
Scheel, Arnd Nonlinear eigenvalue methods for linear pointwise stability of nonlinear waves. (English) Zbl 1510.65101 SIAM J. Numer. Anal. 61, No. 2, 592-616 (2023). MSC: 65H17 34L16 PDFBibTeX XMLCite \textit{A. Scheel}, SIAM J. Numer. Anal. 61, No. 2, 592--616 (2023; Zbl 1510.65101) Full Text: DOI arXiv
Goh, Ryan; de Rijk, Björn Spectral stability of pattern-forming fronts in the complex Ginzburg-Landau equation with a quenching mechanism. (English) Zbl 1482.35036 Nonlinearity 35, No. 1, 170-244 (2022). Reviewer: Guido Schneider (Stuttgart) MSC: 35B36 35B35 34A26 35Q56 PDFBibTeX XMLCite \textit{R. Goh} and \textit{B. de Rijk}, Nonlinearity 35, No. 1, 170--244 (2022; Zbl 1482.35036) Full Text: DOI arXiv
Avery, Montie; Scheel, Arnd Asymptotic stability of critical pulled fronts via resolvent expansions near the essential spectrum. (English) Zbl 1462.35058 SIAM J. Math. Anal. 53, No. 2, 2206-2242 (2021). MSC: 35B35 35C07 35K25 35K58 37L15 PDFBibTeX XMLCite \textit{M. Avery} and \textit{A. Scheel}, SIAM J. Math. Anal. 53, No. 2, 2206--2242 (2021; Zbl 1462.35058) 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
Faye, Grégory; Holzer, Matt Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model. (English) Zbl 1443.35077 J. Differ. Equations 269, No. 9, 6559-6601 (2020). MSC: 35K57 35C07 35B35 35K40 PDFBibTeX XMLCite \textit{G. Faye} and \textit{M. Holzer}, J. Differ. Equations 269, No. 9, 6559--6601 (2020; Zbl 1443.35077) Full Text: DOI arXiv
Iuorio, Annalisa; Popović, Nikola; Szmolyan, Peter Singular perturbation analysis of a regularized MEMS model. (English) Zbl 1458.34103 SIAM J. Appl. Dyn. Syst. 18, No. 2, 661-708 (2019). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34B16 34C23 34E05 35K67 35B25 PDFBibTeX XMLCite \textit{A. Iuorio} et al., SIAM J. Appl. Dyn. Syst. 18, No. 2, 661--708 (2019; Zbl 1458.34103) Full Text: DOI arXiv
Faye, Grégory; Holzer, Matt Bifurcation to locked fronts in two component reaction-diffusion systems. (English) Zbl 1475.35032 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 545-584 (2019). Reviewer: Guowei Dai (Dalian) MSC: 35B32 35C07 35K57 PDFBibTeX XMLCite \textit{G. Faye} and \textit{M. Holzer}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 545--584 (2019; Zbl 1475.35032) Full Text: DOI arXiv
Faye, Grégory; Holzer, Matt Asymptotic stability of the critical Fisher-KPP front using pointwise estimates. (English) Zbl 1404.35252 Z. Angew. Math. Phys. 70, No. 1, Paper No. 13, 21 p. (2019). MSC: 35K57 35C07 35B35 PDFBibTeX XMLCite \textit{G. Faye} and \textit{M. Holzer}, Z. Angew. Math. Phys. 70, No. 1, Paper No. 13, 21 p. (2019; Zbl 1404.35252) Full Text: DOI arXiv
Brevdo, Leo Absolute and convective instabilities of semi-bounded spatially developing flows. (English. Russian original) Zbl 1472.76043 Proc. Steklov Inst. Math. 300, 13-33 (2018); translation from Tr. Mat. Inst. Steklova 300, 19-41 (2018). MSC: 76E15 37C75 PDFBibTeX XMLCite \textit{L. Brevdo}, Proc. Steklov Inst. Math. 300, 13--33 (2018; Zbl 1472.76043); translation from Tr. Mat. Inst. Steklova 300, 19--41 (2018) Full Text: DOI
Foster, Jamie M.; Pelinovsky, Dmitry E. Self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption. (English) Zbl 1361.35078 SIAM J. Appl. Dyn. Syst. 15, No. 4, 2017-2050 (2016). MSC: 35K55 37C70 76R50 35C06 PDFBibTeX XMLCite \textit{J. M. Foster} and \textit{D. E. Pelinovsky}, SIAM J. Appl. Dyn. Syst. 15, No. 4, 2017--2050 (2016; Zbl 1361.35078) Full Text: DOI arXiv
Hayes, Michael G.; Kaper, Tasso J.; Szmolyan, Peter; Wechselberger, Martin Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations. (English) Zbl 1380.37105 Indag. Math., New Ser. 27, No. 5, 1184-1203 (2016). Reviewer: Valery A. Gaiko (Minsk) MSC: 37G15 34E15 37C45 34C23 PDFBibTeX XMLCite \textit{M. G. Hayes} et al., Indag. Math., New Ser. 27, No. 5, 1184--1203 (2016; Zbl 1380.37105) Full Text: DOI
Gasser, Ingenuin; Szmolyan, Peter; Wächtler, Johannes Existence of Chapman-Jouguet detonation and deflagration waves. (English) Zbl 1343.35186 SIAM J. Math. Anal. 48, No. 2, 1400-1422 (2016). Reviewer: Cheng He (Beijing) MSC: 35Q30 35C07 34C37 80A25 35B44 76N10 35B20 PDFBibTeX XMLCite \textit{I. Gasser} et al., SIAM J. Math. Anal. 48, No. 2, 1400--1422 (2016; Zbl 1343.35186) Full Text: DOI Link
Jaramillo, Gabriela; Scheel, Arnd Pacemakers in large arrays of oscillators with nonlocal coupling. (English) Zbl 1331.35045 J. Differ. Equations 260, No. 3, 2060-2090 (2016). MSC: 35B36 35K58 35Q56 PDFBibTeX XMLCite \textit{G. Jaramillo} and \textit{A. Scheel}, J. Differ. Equations 260, No. 3, 2060--2090 (2016; Zbl 1331.35045) Full Text: DOI arXiv
Chirilus-Bruckner, Martina; Doelman, Arjen; van Heijster, Peter; Rademacher, Jens D. M. Butterfly catastrophe for fronts in a three-component reaction-diffusion system. (English) Zbl 1325.35088 J. Nonlinear Sci. 25, No. 1, 87-129 (2015). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35K55 35B36 35B25 35B32 PDFBibTeX XMLCite \textit{M. Chirilus-Bruckner} et al., J. Nonlinear Sci. 25, No. 1, 87--129 (2015; Zbl 1325.35088) Full Text: DOI
Holzer, Matt; Scheel, Arnd Criteria for pointwise growth and their role in invasion processes. (English) Zbl 1296.35017 J. Nonlinear Sci. 24, No. 4, 661-709 (2014). MSC: 35C07 35K57 35K45 35Q92 PDFBibTeX XMLCite \textit{M. Holzer} and \textit{A. Scheel}, J. Nonlinear Sci. 24, No. 4, 661--709 (2014; Zbl 1296.35017) Full Text: DOI arXiv
Dorn, Tim; Liu, Weishi Steady-states for shear flows of a liquid-crystal model: multiplicity, stability, and hysteresis. (English) Zbl 1364.76013 J. Differ. Equations 253, No. 12, 3184-3210 (2012). MSC: 76A15 35Q35 PDFBibTeX XMLCite \textit{T. Dorn} and \textit{W. Liu}, J. Differ. Equations 253, No. 12, 3184--3210 (2012; Zbl 1364.76013) Full Text: DOI
Das, Mita; Latushkin, Yuri Derivatives of the Evans function and (modified) Fredholm determinants for first order systems. (English) Zbl 1225.47131 Math. Nachr. 284, No. 13, 1592-1638 (2011). MSC: 47N20 34A30 34L05 35J05 35J10 47B10 47A55 PDFBibTeX XMLCite \textit{M. Das} and \textit{Y. Latushkin}, Math. Nachr. 284, No. 13, 1592--1638 (2011; Zbl 1225.47131) Full Text: DOI
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A. Evans functions, Jost functions, and Fredholm determinants. (English) Zbl 1134.34004 Arch. Ration. Mech. Anal. 186, No. 3, 361-421 (2007). MSC: 34A30 47E05 PDFBibTeX XMLCite \textit{F. Gesztesy} et al., Arch. Ration. Mech. Anal. 186, No. 3, 361--421 (2007; Zbl 1134.34004) Full Text: DOI arXiv
Deng, Jian; Nii, Shunsaku Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel. (English) Zbl 1115.35091 J. Differ. Equations 225, No. 1, 57-89 (2006). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35P05 35J25 PDFBibTeX XMLCite \textit{J. Deng} and \textit{S. Nii}, J. Differ. Equations 225, No. 1, 57--89 (2006; Zbl 1115.35091) Full Text: DOI
Howard, Peter Pointwise Green’s function estimates toward stability for degenerate viscous shock waves. (English) Zbl 1100.35067 Commun. Partial Differ. Equations 31, No. 1-3, 73-121 (2006). Reviewer: V. D. Sharma (Mumbai) MSC: 35L67 35L65 35K55 PDFBibTeX XMLCite \textit{P. Howard}, Commun. Partial Differ. Equations 31, No. 1--3, 73--121 (2006; Zbl 1100.35067) Full Text: DOI
Hu, Shouchuan; Papageorgiou, Nikolaos S. Positive solutions for nonlinear hemivariational inequalities. (English) Zbl 1112.35151 J. Math. Anal. Appl. 310, No. 1, 161-176 (2005). MSC: 35R70 35J60 35J85 49J40 49J52 PDFBibTeX XMLCite \textit{S. Hu} and \textit{N. S. Papageorgiou}, J. Math. Anal. Appl. 310, No. 1, 161--176 (2005; Zbl 1112.35151) Full Text: DOI
Lyng, Gregory; Zumbrun, Kevin A stability index for detonation waves in Majda’s model for reacting flow. (English) Zbl 1061.35018 Physica D 194, No. 1-2, 1-29 (2004). Reviewer: Abdolrahman Razani (Qazvin) MSC: 35B35 35K57 35Q30 76L05 76V05 80A32 80A25 PDFBibTeX XMLCite \textit{G. Lyng} and \textit{K. Zumbrun}, Physica D 194, No. 1--2, 1--29 (2004; Zbl 1061.35018) Full Text: DOI arXiv