Ducrot, Arnaud; Jin, Zhucheng Spreading properties for non-autonomous Fisher-KPP equations with non-local diffusion. (English) Zbl 1522.35068 J. Nonlinear Sci. 33, No. 6, Paper No. 100, 35 p. (2023). MSC: 35B40 35C07 35R09 45K05 PDFBibTeX XMLCite \textit{A. Ducrot} and \textit{Z. Jin}, J. Nonlinear Sci. 33, No. 6, Paper No. 100, 35 p. (2023; Zbl 1522.35068) Full Text: DOI arXiv
Xue, Yeqing; Ma, Zhaohai; Liu, Zhihua Stability of planar traveling waves for a class of Lotka-Volterra competition systems with time delay and nonlocal reaction term. (English) Zbl 1520.35029 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 122, 25 p. (2023). Reviewer: Guobao Zhang (Lanzhou) MSC: 35C07 35B35 35K45 35K57 35R09 92D25 PDFBibTeX XMLCite \textit{Y. Xue} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 122, 25 p. (2023; Zbl 1520.35029) Full Text: DOI
Matano, Hiroshi; Mori, Yoichiro; Nara, Mitsunori Stability of front solutions of the bidomain Allen-Cahn equation on an infinite strip. (English) Zbl 1519.35345 SIAM J. Math. Anal. 55, No. 3, 1545-1595 (2023). MSC: 35Q92 92C30 35B40 35C07 35B35 35B32 PDFBibTeX XMLCite \textit{H. Matano} et al., SIAM J. Math. Anal. 55, No. 3, 1545--1595 (2023; Zbl 1519.35345) Full Text: DOI
Nara, Mitsunori Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on \(\mathbb{R}^n\). (English) Zbl 1511.35219 Commun. Pure Appl. Anal. 21, No. 11, 3605-3628 (2022). MSC: 35K57 35B40 35C07 PDFBibTeX XMLCite \textit{M. Nara}, Commun. Pure Appl. Anal. 21, No. 11, 3605--3628 (2022; Zbl 1511.35219) Full Text: DOI
Berestycki, Henri; Nadin, Grégoire Asymptotic spreading for general heterogeneous Fisher-KPP type equations. (English) Zbl 1503.35002 Memoirs of the American Mathematical Society 1381. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5429-6/pbk; 978-1-4704-7281-8/ebook). vi, 100 p. (2022). Reviewer: Guobao Zhang (Lanzhou) MSC: 35-02 35B27 35B40 35B50 35C07 35K57 35P05 47B65 49L25 PDFBibTeX XMLCite \textit{H. Berestycki} and \textit{G. Nadin}, Asymptotic spreading for general heterogeneous Fisher-KPP type equations. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1503.35002) Full Text: DOI
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
Hupkes, H. J.; Van Vleck, E. S. Travelling waves for adaptive grid discretizations of reaction diffusion systems. I: Well-posedness. (English) Zbl 1497.34108 J. Dyn. Differ. Equations 34, No. 2, 1505-1599 (2022). MSC: 34K31 34C37 34E15 35C07 35K57 65M06 PDFBibTeX XMLCite \textit{H. J. Hupkes} and \textit{E. S. Van Vleck}, J. Dyn. Differ. Equations 34, No. 2, 1505--1599 (2022; Zbl 1497.34108) Full Text: DOI
Jukić, Mia; Hupkes, Hermen Jan Curvature-driven front propagation through planar lattices in oblique directions. (English) Zbl 1497.34023 Commun. Pure Appl. Anal. 21, No. 6, 2189-2251 (2022). MSC: 34A33 34D05 34D20 53E10 PDFBibTeX XMLCite \textit{M. Jukić} and \textit{H. J. Hupkes}, Commun. Pure Appl. Anal. 21, No. 6, 2189--2251 (2022; Zbl 1497.34023) Full Text: DOI arXiv
Cheng, Hongmei; Yuan, Rong The stability of traveling waves for Allen-Cahn equations with fractional Laplacian. (English) Zbl 1484.35109 Appl. Anal. 101, No. 1, 263-273 (2022). MSC: 35C07 35B35 35R11 47G10 47D06 PDFBibTeX XMLCite \textit{H. Cheng} and \textit{R. Yuan}, Appl. Anal. 101, No. 1, 263--273 (2022; Zbl 1484.35109) Full Text: DOI
Niu, Hui-Ling Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection. (English) Zbl 1484.35264 AIMS Math. 6, No. 1, 314-332 (2021). MSC: 35K57 35C07 35B35 35B40 PDFBibTeX XMLCite \textit{H.-L. Niu}, AIMS Math. 6, No. 1, 314--332 (2021; Zbl 1484.35264) Full Text: DOI
Wu, Denghui; Bu, Zhen-Hui Multidimensional stability of pyramidal traveling fronts in degenerate Fisher-KPP monostable and combustion equations. (English) Zbl 1478.35078 Electron. Res. Arch. 29, No. 6, 3721-3740 (2021). MSC: 35C07 35B35 35B51 35K15 35K57 92D25 PDFBibTeX XMLCite \textit{D. Wu} and \textit{Z.-H. Bu}, Electron. Res. Arch. 29, No. 6, 3721--3740 (2021; Zbl 1478.35078) Full Text: DOI
Jukić, Mia; Hupkes, Hermen Jan Dynamics of curved travelling fronts for the discrete Allen-Cahn equation on a two-dimensional lattice. (English) Zbl 1481.34018 Discrete Contin. Dyn. Syst. 41, No. 7, 3163-3209 (2021). Reviewer: Caidi Zhao (Wenzhou) MSC: 34A33 34D05 34D20 35C07 PDFBibTeX XMLCite \textit{M. Jukić} and \textit{H. J. Hupkes}, Discrete Contin. Dyn. Syst. 41, No. 7, 3163--3209 (2021; Zbl 1481.34018) Full Text: DOI arXiv
Ma, Zhaohai; Wu, Xin; Yuan, Rong; Wang, Yang Multidimensional stability of planar waves for delayed reaction-diffusion equation with nonlocal diffusion. (English) Zbl 1461.35091 J. Appl. Anal. Comput. 9, No. 3, 962-980 (2019). MSC: 35C07 92D25 35B35 35K57 PDFBibTeX XMLCite \textit{Z. Ma} et al., J. Appl. Anal. Comput. 9, No. 3, 962--980 (2019; Zbl 1461.35091) Full Text: DOI
Ma, Zhaohai; Yuan, Rong; Wang, Yang; Wu, Xin Multidimensional stability of planar traveling waves for the delayed nonlocal dispersal competitive Lotka-Volterra system. (English) Zbl 1412.35349 Commun. Pure Appl. Anal. 18, No. 4, 2069-2092 (2019). MSC: 35Q92 35C07 92D25 35B35 PDFBibTeX XMLCite \textit{Z. Ma} et al., Commun. Pure Appl. Anal. 18, No. 4, 2069--2092 (2019; Zbl 1412.35349) Full Text: DOI
Matano, Hiroshi; Mori, Yoichiro; Nara, Mitsunori Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equation on \(\mathbb{R}^n\). (English. French summary) Zbl 1411.35161 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 585-626 (2019). MSC: 35K57 35B40 53C44 PDFBibTeX XMLCite \textit{H. Matano} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 3, 585--626 (2019; Zbl 1411.35161) Full Text: DOI
Bu, Zhen-Hui; Wang, Zhi-Cheng Multidimensional stability of traveling fronts in combustion and non-KPP monostable equations. (English) Zbl 1390.35146 Z. Angew. Math. Phys. 69, No. 1, Paper No. 12, 27 p. (2018). MSC: 35K57 35B10 35B35 35C07 PDFBibTeX XMLCite \textit{Z.-H. Bu} and \textit{Z.-C. Wang}, Z. Angew. Math. Phys. 69, No. 1, Paper No. 12, 27 p. (2018; Zbl 1390.35146) Full Text: DOI
Sheng, Wei-Jie Stability of planar traveling fronts in bistable reaction-diffusion systems. (English) Zbl 1377.35157 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 42-60 (2017). MSC: 35K57 35C07 35B10 PDFBibTeX XMLCite \textit{W.-J. Sheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 42--60 (2017; Zbl 1377.35157) Full Text: DOI
Sheng, Wei-Jie; Li, Wan-Tong Multidimensional stability of time-periodic planar traveling fronts in bistable reaction-diffusion equations. (English) Zbl 1357.35041 Discrete Contin. Dyn. Syst. 37, No. 5, 2681-2704 (2017). MSC: 35B35 35K57 35C07 35B10 PDFBibTeX XMLCite \textit{W.-J. Sheng} and \textit{W.-T. Li}, Discrete Contin. Dyn. Syst. 37, No. 5, 2681--2704 (2017; Zbl 1357.35041) Full Text: DOI
Sheng, Wei-Jie Multidimensional stability of V-shaped traveling fronts in time periodic bistable reaction-diffusion equations. (English) Zbl 1364.35148 Comput. Math. Appl. 72, No. 6, 1714-1726 (2016). MSC: 35K57 35B35 35B10 35C07 PDFBibTeX XMLCite \textit{W.-J. Sheng}, Comput. Math. Appl. 72, No. 6, 1714--1726 (2016; Zbl 1364.35148) Full Text: DOI
Hamel, François Bistable transition fronts in \(\mathbb{R}^N\). (English) Zbl 1348.35111 Adv. Math. 289, 279-344 (2016). Reviewer: Christos Sourdis (Torino) MSC: 35K57 35C07 PDFBibTeX XMLCite \textit{F. Hamel}, Adv. Math. 289, 279--344 (2016; Zbl 1348.35111) Full Text: DOI arXiv
Huang, Rui; Huang, Haochuan; Ji, Shanming; Yin, Jingxue Periodic solutions for the Allen-Cahn equation. (English) Zbl 1422.35004 Adv. Difference Equ. 2015, Paper No. 295, 37 p. (2015). MSC: 35B10 35K55 35K60 35K65 35B45 PDFBibTeX XMLCite \textit{R. Huang} et al., Adv. Difference Equ. 2015, Paper No. 295, 37 p. (2015; Zbl 1422.35004) Full Text: DOI
Wang, Xiaohuan Stability of planar waves in a Lotka-Volterra system. (English) Zbl 1390.35128 Appl. Math. Comput. 259, 313-326 (2015). MSC: 35K45 35B10 35B15 35B40 35K91 35K57 35B35 PDFBibTeX XMLCite \textit{X. Wang}, Appl. Math. Comput. 259, 313--326 (2015; Zbl 1390.35128) Full Text: DOI
Matano, Hiroshi; Punzo, Fabio; Tesei, Alberto Front propagation for nonlinear diffusion equations on the hyperbolic space. (English) Zbl 1322.35065 J. Eur. Math. Soc. (JEMS) 17, No. 5, 1199-1227 (2015). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35K55 35K57 PDFBibTeX XMLCite \textit{H. Matano} et al., J. Eur. Math. Soc. (JEMS) 17, No. 5, 1199--1227 (2015; Zbl 1322.35065) Full Text: DOI
Yuan, Rong; Cheng, Hongmei Multidimensional stability of disturbed pyramidal traveling fronts in the Allen-Cahn equation. (English) Zbl 1515.35043 Discrete Contin. Dyn. Syst., Ser. B 20, No. 4, 1015-1029 (2015). MSC: 35B35 35B10 35C07 35K57 PDFBibTeX XMLCite \textit{R. Yuan} and \textit{H. Cheng}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 4, 1015--1029 (2015; Zbl 1515.35043) Full Text: DOI
Wang, Xiaohuan; Lv, Guangying Planar waves of the buffered bistable system. (English) Zbl 1470.35196 Abstr. Appl. Anal. 2013, Article ID 936296, 13 p. (2013). MSC: 35K57 35B35 PDFBibTeX XMLCite \textit{X. Wang} and \textit{G. Lv}, Abstr. Appl. Anal. 2013, Article ID 936296, 13 p. (2013; Zbl 1470.35196) Full Text: DOI
Sheng, WeiJie; Li, WanTong; Wang, ZhiCheng Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation. (English) Zbl 1284.35231 Sci. China, Math. 56, No. 10, 1969-1982 (2013). MSC: 35K57 35B10 35B35 35C07 PDFBibTeX XMLCite \textit{W. Sheng} et al., Sci. China, Math. 56, No. 10, 1969--1982 (2013; Zbl 1284.35231) Full Text: DOI