Church, Kevin E. M.; Lessard, Jean-Philippe Rigorous verification of Hopf bifurcations in functional differential equations of mixed type. (English) Zbl 1496.34103 Physica D 429, Article ID 133072, 13 p. (2022). Reviewer: Neville Ford (Chester) MSC: 34K13 34K18 34K20 34K21 37M20 PDFBibTeX XMLCite \textit{K. E. M. Church} and \textit{J.-P. Lessard}, Physica D 429, Article ID 133072, 13 p. (2022; Zbl 1496.34103) Full Text: DOI
Li, Hengyan; Zhao, Xin; Yan, Weiping Bifurcation of time-periodic solutions for the incompressible flow of nematic liquid crystals in three dimension. (English) Zbl 1432.35176 Adv. Nonlinear Anal. 9, 1315-1332 (2020). MSC: 35Q35 76A15 35B10 35B32 37N10 PDFBibTeX XMLCite \textit{H. Li} et al., Adv. Nonlinear Anal. 9, 1315--1332 (2020; Zbl 1432.35176) Full Text: DOI
Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A. Growing stripes, with and without wrinkles. (English) Zbl 1423.35156 SIAM J. Appl. Dyn. Syst. 18, No. 2, 1078-1117 (2019). MSC: 35K35 35B32 35B36 35K58 37C29 PDFBibTeX XMLCite \textit{M. Avery} et al., SIAM J. Appl. Dyn. Syst. 18, No. 2, 1078--1117 (2019; Zbl 1423.35156) Full Text: DOI arXiv
Humpherys, Jeffrey; Lyng, Gregory; Zumbrun, Kevin Multidimensional stability of large-amplitude Navier-Stokes shocks. (English) Zbl 1386.35326 Arch. Ration. Mech. Anal. 226, No. 3, 923-973 (2017). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76N15 76L05 PDFBibTeX XMLCite \textit{J. Humpherys} et al., Arch. Ration. Mech. Anal. 226, No. 3, 923--973 (2017; Zbl 1386.35326) Full Text: DOI arXiv
Zumbrun, Kevin Recent results on stability of planar detonations. (English) Zbl 1366.76033 Colombini, Ferruccio (ed.) et al., Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015. Cham: Springer (ISBN 978-3-319-52041-4/hbk; 978-3-319-52042-1/ebook). Springer INdAM Series 17, 273-308 (2017). MSC: 76E17 76L05 35Q35 PDFBibTeX XMLCite \textit{K. Zumbrun}, Springer INdAM Ser. 17, 273--308 (2017; Zbl 1366.76033) Full Text: DOI arXiv
Beck, Margaret Stability of nonlinear waves: pointwise estimates. (English) Zbl 1359.35018 Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 191-211 (2017). MSC: 35C07 35Kxx 34Dxx 35B35 35E05 PDFBibTeX XMLCite \textit{M. Beck}, Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 191--211 (2017; Zbl 1359.35018) Full Text: DOI
Pogan, Alin; Yao, Jinghua; Zumbrun, Kevin \(O(2)\) Hopf bifurcation of viscous shock waves in a channel. (English) Zbl 1364.37109 Physica D 308, 59-79 (2015). MSC: 37G05 37G10 76D33 76L05 76M30 PDFBibTeX XMLCite \textit{A. Pogan} et al., Physica D 308, 59--79 (2015; Zbl 1364.37109) Full Text: DOI arXiv
Piccardo, Giuseppe; Pagnini, Luisa; Tubino, Federica Some research perspectives in galloping phenomena: critical conditions and post-critical behavior. (English) Zbl 1341.74056 Contin. Mech. Thermodyn. 27, No. 1-2, 261-285 (2015). MSC: 74F10 76G25 PDFBibTeX XMLCite \textit{G. Piccardo} et al., Contin. Mech. Thermodyn. 27, No. 1--2, 261--285 (2015; Zbl 1341.74056) Full Text: DOI
Goh, Ryan; Scheel, Arnd Hopf bifurcation from fronts in the Cahn-Hilliard equation. (English) Zbl 1317.35197 Arch. Ration. Mech. Anal. 217, No. 3, 1219-1263 (2015). MSC: 35Q35 76T10 35B32 35B36 PDFBibTeX XMLCite \textit{R. Goh} and \textit{A. Scheel}, Arch. Ration. Mech. Anal. 217, No. 3, 1219--1263 (2015; Zbl 1317.35197) Full Text: DOI arXiv
Barker, Blake; Freistühler, Heinrich; Zumbrun, Kevin Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability. (English) Zbl 1329.35240 Arch. Ration. Mech. Anal. 217, No. 1, 309-372 (2015). MSC: 35Q35 76N17 76E09 35B32 35Q15 35P05 PDFBibTeX XMLCite \textit{B. Barker} et al., Arch. Ration. Mech. Anal. 217, No. 1, 309--372 (2015; Zbl 1329.35240) Full Text: DOI arXiv
Achleitner, Franz; Szmolyan, Peter Saddle-node bifurcation of viscous profiles. (English) Zbl 1257.35033 Physica D 241, No. 20, 1703-1717 (2012). MSC: 35B32 35L65 35C07 35B35 76W05 PDFBibTeX XMLCite \textit{F. Achleitner} and \textit{P. Szmolyan}, Physica D 241, No. 20, 1703--1717 (2012; Zbl 1257.35033) Full Text: DOI
Chu, Jixun; Magal, Pierre; Yuan, Rong Hopf bifurcation for a maturity structured population dynamic model. (English) Zbl 1229.35011 J. Nonlinear Sci. 21, No. 4, 521-562 (2011). MSC: 35B32 37G15 37L10 92D25 PDFBibTeX XMLCite \textit{J. Chu} et al., J. Nonlinear Sci. 21, No. 4, 521--562 (2011; Zbl 1229.35011) Full Text: DOI
Zumbrun, Kevin Stability of detonation profiles in the ZND limit. (English) Zbl 1233.35030 Arch. Ration. Mech. Anal. 200, No. 1, 141-182 (2011). Reviewer: V. D. Sharma (Mumbai) MSC: 35B35 35L67 76E17 76L05 35B40 35Q30 PDFBibTeX XMLCite \textit{K. Zumbrun}, Arch. Ration. Mech. Anal. 200, No. 1, 141--182 (2011; Zbl 1233.35030) Full Text: DOI arXiv
Zumbrun, Kevin Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves. (English) Zbl 1221.35059 Q. Appl. Math. 69, No. 1, 177-202 (2011). Reviewer: Michael I. Gil’ (Beer-Sheva) MSC: 35B35 35L67 35A22 PDFBibTeX XMLCite \textit{K. Zumbrun}, Q. Appl. Math. 69, No. 1, 177--202 (2011; Zbl 1221.35059) Full Text: DOI arXiv Link
Texier, Benjamin; Zumbrun, Kevin Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions. (English) Zbl 1217.35138 Commun. Math. Phys. 302, No. 1, 1-51 (2011). Reviewer: Cheng He (Beijing) MSC: 35Q30 76N15 35B32 35B35 76E19 PDFBibTeX XMLCite \textit{B. Texier} and \textit{K. Zumbrun}, Commun. Math. Phys. 302, No. 1, 1--51 (2011; Zbl 1217.35138) Full Text: DOI arXiv
Zumbrun, Kevin Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD. (English) Zbl 1228.35049 Arch. Ration. Mech. Anal. 198, No. 3, 1031-1056 (2010). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B35 35L67 35Q35 35Q60 76L05 76W05 35L65 35K58 PDFBibTeX XMLCite \textit{K. Zumbrun}, Arch. Ration. Mech. Anal. 198, No. 3, 1031--1056 (2010; Zbl 1228.35049) Full Text: DOI arXiv
Beck, Margaret; Sandstede, Björn; Zumbrun, Kevin Nonlinear stability of time-periodic viscous shocks. (English) Zbl 1221.35054 Arch. Ration. Mech. Anal. 196, No. 3, 1011-1076 (2010). Reviewer: Jörg Härterich (Bochum) MSC: 35B35 35L67 35K45 76L05 35K58 PDFBibTeX XMLCite \textit{M. Beck} et al., Arch. Ration. Mech. Anal. 196, No. 3, 1011--1076 (2010; Zbl 1221.35054) Full Text: DOI arXiv
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui Hopf bifurcation in a size-structured population dynamic model with random growth. (English) Zbl 1172.35322 J. Differ. Equations 247, No. 3, 956-1000 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B32 35K55 37L10 92D25 PDFBibTeX XMLCite \textit{J. Chu} et al., J. Differ. Equations 247, No. 3, 956--1000 (2009; Zbl 1172.35322) Full Text: DOI
Zumbrun, Kevin Conditional stability of unstable viscous shocks. (English) Zbl 1175.35015 J. Differ. Equations 247, No. 2, 648-671 (2009). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B35 35K55 35L67 PDFBibTeX XMLCite \textit{K. Zumbrun}, J. Differ. Equations 247, No. 2, 648--671 (2009; Zbl 1175.35015) Full Text: DOI arXiv
Texier, Benjamin; Zumbrun, Kevin Hopf bifurcation of viscous shock waves in compressible gas dynamics and MHD. (English) Zbl 1155.76037 Arch. Ration. Mech. Anal. 190, No. 1, 107-140 (2008). MSC: 76L05 76N10 76W05 35L67 PDFBibTeX XMLCite \textit{B. Texier} and \textit{K. Zumbrun}, Arch. Ration. Mech. Anal. 190, No. 1, 107--140 (2008; Zbl 1155.76037) Full Text: DOI arXiv
Texier, Benjamin; Zumbrun, Kevin Galloping instability of viscous shock waves. (English) Zbl 1143.76439 Physica D 237, No. 10-12, 1553-1601 (2008). MSC: 76E17 76L05 35Q35 PDFBibTeX XMLCite \textit{B. Texier} and \textit{K. Zumbrun}, Physica D 237, No. 10--12, 1553--1601 (2008; Zbl 1143.76439) Full Text: DOI arXiv