Jia, Fu-Jie; Sheng, Wei-Jie; Wang, Zhi-Cheng Pulsating fronts of spatially periodic bistable reaction-diffusion equations around an obstacle. (English) Zbl 1527.35103 J. Nonlinear Sci. 34, No. 1, Paper No. 4, 37 p. (2024). MSC: 35B51 35C07 35K20 35K57 PDFBibTeX XMLCite \textit{F.-J. Jia} et al., J. Nonlinear Sci. 34, No. 1, Paper No. 4, 37 p. (2024; Zbl 1527.35103) Full Text: DOI
Ma, Zhuo; Wang, Zhi-Cheng The trichotomy of solutions and the description of threshold solutions for periodic parabolic equations in cylinders. (English) Zbl 07781552 J. Dyn. Differ. Equations 35, No. 4, 3665-3689 (2023). Reviewer: Thomas Giletti (Clermont-Ferrand) MSC: 35B40 35C07 35K20 35K57 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{Z.-C. Wang}, J. Dyn. Differ. Equations 35, No. 4, 3665--3689 (2023; Zbl 07781552) Full Text: DOI
Giletti, Thomas; Kim, Ho-Youn Convergence to a terrace solution in multistable reaction-diffusion equation with discontinuities. (English) Zbl 1521.35034 Nonlinear Anal., Real World Appl. 74, Article ID 103924, 28 p. (2023). MSC: 35B40 35K15 35K58 PDFBibTeX XMLCite \textit{T. Giletti} and \textit{H.-Y. Kim}, Nonlinear Anal., Real World Appl. 74, Article ID 103924, 28 p. (2023; Zbl 1521.35034) Full Text: DOI arXiv
Hao, Yu-Xia; Li, Wan-Tong; Wang, Jia-Bing Propagation dynamics of nonlocal dispersal equations with bistable nonlinearity in spatially periodic media. (English) Zbl 1512.35024 Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 4040-4067 (2023). MSC: 35B08 35B51 35K57 35R09 92D25 PDFBibTeX XMLCite \textit{Y.-X. Hao} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 4040--4067 (2023; Zbl 1512.35024) Full Text: DOI
Hamel, François; Zhang, Mingmin Reaction-diffusion fronts in funnel-shaped domains. (English) Zbl 1504.35113 Adv. Math. 412, Article ID 108807, 56 p. (2023). MSC: 35C07 35B08 35B40 35B53 35K20 35K57 PDFBibTeX XMLCite \textit{F. Hamel} and \textit{M. Zhang}, Adv. Math. 412, Article ID 108807, 56 p. (2023; Zbl 1504.35113) Full Text: DOI arXiv
Ding, Weiwei; Liang, Zhanghua; Liu, Wenfeng Continuity of pulsating wave speeds for bistable reaction-diffusion equations in spatially periodic media. (English) Zbl 1511.35070 J. Math. Anal. Appl. 519, No. 1, Article ID 126794, 26 p. (2023). Reviewer: Thomas Giletti (Vandœuvre-lès-Nancy) MSC: 35C07 35K15 35K57 PDFBibTeX XMLCite \textit{W. Ding} et al., J. Math. Anal. Appl. 519, No. 1, Article ID 126794, 26 p. (2023; Zbl 1511.35070) Full Text: DOI arXiv
Hamel, F.; Ninomiya, H. Localized and expanding entire solutions of reaction-diffusion equations. (English) Zbl 1503.35017 J. Dyn. Differ. Equations 34, No. 4, 2937-2974 (2022). MSC: 35B08 35K57 PDFBibTeX XMLCite \textit{F. Hamel} and \textit{H. Ninomiya}, J. Dyn. Differ. Equations 34, No. 4, 2937--2974 (2022; Zbl 1503.35017) Full Text: DOI arXiv
Matsuzawa, Hiroshi; Nara, Mitsunori Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on \(\mathbb{R}^N\). (English) Zbl 1503.35057 Discrete Contin. Dyn. Syst. 42, No. 10, 4707-4740 (2022). Reviewer: Thomas Giletti (Vandœuvre-lès-Nancy) MSC: 35C07 35B40 35K15 35K57 35K59 53E10 PDFBibTeX XMLCite \textit{H. Matsuzawa} and \textit{M. Nara}, Discrete Contin. Dyn. Syst. 42, No. 10, 4707--4740 (2022; Zbl 1503.35057) Full Text: DOI
Giletti, Thomas; Kim, Ho-Youn; Kim, Yong-Jung Terrace solutions for non-Lipschitz multistable nonlinearities. (English) Zbl 1496.35231 SIAM J. Math. Anal. 54, No. 4, 4785-4805 (2022). MSC: 35K57 35C07 35B08 PDFBibTeX XMLCite \textit{T. Giletti} et al., SIAM J. Math. Anal. 54, No. 4, 4785--4805 (2022; Zbl 1496.35231) Full Text: DOI arXiv
Hamel, François; Rossi, Luca Spreading sets and one-dimensional symmetry for reaction-diffusion equations. (English) Zbl 1495.35101 Sémin. Laurent Schwartz, EDP Appl. 2021-2022, Exp. No. 11, 25 p. (2022). MSC: 35K57 35C07 35B40 PDFBibTeX XMLCite \textit{F. Hamel} and \textit{L. Rossi}, Sémin. Laurent Schwartz, EDP Appl. 2021--2022, Exp. No. 11, 25 p. (2022; Zbl 1495.35101) Full Text: DOI arXiv
Ducrot, Arnaud; Jin, Zhucheng Generalized travelling fronts for non-autonomous Fisher-KPP equations with nonlocal diffusion. (English) Zbl 1495.35067 Ann. Mat. Pura Appl. (4) 201, No. 4, 1607-1638 (2022). MSC: 35C07 35K55 35R09 45G10 92D25 PDFBibTeX XMLCite \textit{A. Ducrot} and \textit{Z. Jin}, Ann. Mat. Pura Appl. (4) 201, No. 4, 1607--1638 (2022; Zbl 1495.35067) Full Text: DOI
Morfe, Peter S. A variational principle for pulsating standing waves and an Einstein relation in the sharp interface limit. (English) Zbl 1491.35229 Arch. Ration. Mech. Anal. 244, No. 3, 919-1018 (2022). MSC: 35J70 35A15 PDFBibTeX XMLCite \textit{P. S. Morfe}, Arch. Ration. Mech. Anal. 244, No. 3, 919--1018 (2022; Zbl 1491.35229) Full Text: DOI arXiv
Ding, Weiwei; Giletti, Thomas Admissible speeds in spatially periodic bistable reaction-diffusion equations. (English) Zbl 1471.35076 Adv. Math. 389, Article ID 107889, 50 p. (2021). MSC: 35C07 35K57 35B10 PDFBibTeX XMLCite \textit{W. Ding} and \textit{T. Giletti}, Adv. Math. 389, Article ID 107889, 50 p. (2021; Zbl 1471.35076) Full Text: DOI arXiv
Ding, Weiwei; Matano, Hiroshi Dynamics of time-periodic reaction-diffusion equations with front-like initial data on \(\mathbb{R} \). (English) Zbl 1447.35171 SIAM J. Math. Anal. 52, No. 3, 2411-2462 (2020). MSC: 35K15 35C07 35B40 35B35 35K57 PDFBibTeX XMLCite \textit{W. Ding} and \textit{H. Matano}, SIAM J. Math. Anal. 52, No. 3, 2411--2462 (2020; Zbl 1447.35171) Full Text: DOI arXiv
Du, Li-Jun; Li, Wan-Tong; Wu, Shi-Liang Propagation phenomena for a bistable Lotka-Volterra competition system with advection in a periodic habitat. (English) Zbl 1430.35128 Z. Angew. Math. Phys. 71, No. 1, Paper No. 11, 27 p. (2020). MSC: 35K57 37C65 92D25 35Q92 PDFBibTeX XMLCite \textit{L.-J. Du} et al., Z. Angew. Math. Phys. 71, No. 1, Paper No. 11, 27 p. (2020; Zbl 1430.35128) Full Text: DOI arXiv