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
Niu, Hong-Tao; Li, Wan-Tong; Wang, Zhi-Cheng Conical traveling fronts for nonlocal bistable equations in \(\mathbb{R}^3\). (English) Zbl 1518.35199 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113297, 13 p. (2023). MSC: 35C07 35K57 35R09 45K05 PDFBibTeX XMLCite \textit{H.-T. Niu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113297, 13 p. (2023; Zbl 1518.35199) Full Text: DOI
Zhang, Suobing; Bu, Zhen-Hui; Wang, Zhi-Cheng Periodic curved fronts in reaction-diffusion equations with ignition time-periodic nonlinearity. (English) Zbl 1512.35147 Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2621-2654 (2023). MSC: 35C07 35B08 35B35 35B40 35K57 PDFBibTeX XMLCite \textit{S. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2621--2654 (2023; Zbl 1512.35147) Full Text: DOI
Ma, Luyi; Niu, Hong-Tao; Wang, Zhi-Cheng V-shaped traveling fronts of fractional Allen-Cahn equations. (English) Zbl 1507.35030 J. Math. Phys. 63, No. 2, Article ID 021507, 29 p. (2022). MSC: 35B35 35K57 35C07 35B40 35K55 PDFBibTeX XMLCite \textit{L. Ma} et al., J. Math. Phys. 63, No. 2, Article ID 021507, 29 p. (2022; Zbl 1507.35030) Full Text: DOI
Jia, Fu-Jie; Wang, Zhi-Cheng; Zhang, Suo-Bing Entire solutions of combustion reaction-diffusion equations in exterior domains. (English) Zbl 1487.35027 Adv. Differ. Equ. 27, No. 7-8, 437-466 (2022). MSC: 35B08 35C07 35K20 35K57 45K05 PDFBibTeX XMLCite \textit{F.-J. Jia} et al., Adv. Differ. Equ. 27, No. 7--8, 437--466 (2022; Zbl 1487.35027) Full Text: Link
Guo, Hongjun; Li, Wan-Tong; Liu, Rongsong; Wang, Zhi-Cheng Curved fronts of bistable reaction-diffusion equations in spatially periodic media. (English) Zbl 1483.35116 Arch. Ration. Mech. Anal. 242, No. 3, 1571-1627 (2021). Reviewer: Jia-Bing Wang (Wuhan) MSC: 35K57 35B08 35B36 PDFBibTeX XMLCite \textit{H. Guo} et al., Arch. Ration. Mech. Anal. 242, No. 3, 1571--1627 (2021; Zbl 1483.35116) Full Text: DOI arXiv
Bu, Zhen-Hui; Ma, Luyi; Wang, Zhi-Cheng Conical traveling fronts of combustion equations in \(\mathbb{R}^3\). (English) Zbl 1450.35104 Appl. Math. Lett. 108, Article ID 106509, 6 p. (2020). MSC: 35C07 35K58 35K57 80A25 PDFBibTeX XMLCite \textit{Z.-H. Bu} et al., Appl. Math. Lett. 108, Article ID 106509, 6 p. (2020; Zbl 1450.35104) Full Text: DOI
Ma, Luyi; Niu, Hong-Tao; Wang, Zhi-Cheng Global asymptotic stability of traveling waves to the Allen-Cahn equation with a fractional Laplacian. (English) Zbl 1481.35063 Commun. Pure Appl. Anal. 18, No. 5, 2457-2472 (2019). MSC: 35B40 35C07 35K57 35R11 PDFBibTeX XMLCite \textit{L. Ma} et al., Commun. Pure Appl. Anal. 18, No. 5, 2457--2472 (2019; Zbl 1481.35063) Full Text: DOI
Bu, Zhen-Hui; Guo, Hongjun; Wang, Zhi-Cheng Transition fronts of combustion reaction diffusion equations in \(\mathbb{R}^N\). (English) Zbl 1423.35161 J. Dyn. Differ. Equations 31, No. 4, 1987-2015 (2019). MSC: 35K40 35K57 35C07 35B35 35B40 PDFBibTeX XMLCite \textit{Z.-H. Bu} et al., J. Dyn. Differ. Equations 31, No. 4, 1987--2015 (2019; Zbl 1423.35161) Full Text: DOI
Bu, Zhen-Hui; Ma, Lu-Yi; Wang, Zhi-Cheng Stability of pyramidal traveling fronts in the degenerate monostable and combustion equations. II. (English) Zbl 1409.35112 Nonlinear Anal., Real World Appl. 47, 45-67 (2019). MSC: 35K57 35B35 35K55 PDFBibTeX XMLCite \textit{Z.-H. Bu} et al., Nonlinear Anal., Real World Appl. 47, 45--67 (2019; Zbl 1409.35112) Full Text: DOI
Niu, Hong-Tao; Bu, Zhen-Hui; Wang, Zhi-Cheng Global stability of curved fronts in the Belousov-Zhabotinskii reaction-diffusion system in \(\mathbb{R}^2\). (English) Zbl 1409.35097 Nonlinear Anal., Real World Appl. 46, 493-524 (2019). MSC: 35K40 35K57 35B35 35C07 35K91 PDFBibTeX XMLCite \textit{H.-T. Niu} et al., Nonlinear Anal., Real World Appl. 46, 493--524 (2019; Zbl 1409.35097) Full Text: DOI
Bu, Zhen-Hui; Wang, Zhi-Cheng Global stability of V-shaped traveling fronts in combustion and degenerate monostable equations. (English) Zbl 1397.35134 Discrete Contin. Dyn. Syst. 38, No. 5, 2251-2286 (2018). MSC: 35K57 35B35 35K55 PDFBibTeX XMLCite \textit{Z.-H. Bu} and \textit{Z.-C. Wang}, Discrete Contin. Dyn. Syst. 38, No. 5, 2251--2286 (2018; Zbl 1397.35134) 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
Niu, Hong-Tao; Wang, Zhi-Cheng; Bu, Zhen-Hui Curved fronts in the Belousov-Zhabotinskii reaction-diffusion systems in \(\mathbb{R}^2\). (English) Zbl 1394.35220 J. Differ. Equations 264, No. 9, 5758-5801 (2018). Reviewer: Adrian Muntean (Karlstad) MSC: 35K40 35K57 35C07 35B35 35B40 PDFBibTeX XMLCite \textit{H.-T. Niu} et al., J. Differ. Equations 264, No. 9, 5758--5801 (2018; Zbl 1394.35220) Full Text: DOI
Bu, Zhen-Hui; Wang, Zhi-Cheng Stability of pyramidal traveling fronts in the degenerate monostable and combustion equations. I. (English) Zbl 1358.35014 Discrete Contin. Dyn. Syst. 37, No. 5, 2395-2430 (2017). MSC: 35B35 35K57 35K55 PDFBibTeX XMLCite \textit{Z.-H. Bu} and \textit{Z.-C. Wang}, Discrete Contin. Dyn. Syst. 37, No. 5, 2395--2430 (2017; Zbl 1358.35014) Full Text: DOI
Wang, Zhi-Cheng; Bu, Zhen-Hui Nonplanar traveling fronts in reaction-diffusion equations with combustion and degenerate Fisher-KPP nonlinearities. (English) Zbl 1426.35138 J. Differ. Equations 260, No. 7, 6405-6450 (2016). MSC: 35K57 35C07 35B35 35B40 PDFBibTeX XMLCite \textit{Z.-C. Wang} and \textit{Z.-H. Bu}, J. Differ. Equations 260, No. 7, 6405--6450 (2016; Zbl 1426.35138) Full Text: DOI
Bu, Zhen-Hui; Wang, Zhi-Cheng Curved fronts of monostable reaction-advection-diffusion equations in space-time periodic media. (English) Zbl 1330.35210 Commun. Pure Appl. Anal. 15, No. 1, 139-160 (2016). MSC: 35K57 35C07 35B35 35B40 PDFBibTeX XMLCite \textit{Z.-H. Bu} and \textit{Z.-C. Wang}, Commun. Pure Appl. Anal. 15, No. 1, 139--160 (2016; Zbl 1330.35210)
Liu, Nai-Wei; Li, Wan-Tong; Wang, Zhi-Cheng Pulsating type entire solutions of monostable reaction-advection-diffusion equations in periodic excitable media. (English) Zbl 1237.35095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1869-1880 (2012). MSC: 35K57 35B40 35R15 58D25 PDFBibTeX XMLCite \textit{N.-W. Liu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1869--1880 (2012; Zbl 1237.35095) Full Text: DOI
Wang, Zhi-Cheng; Wu, Jianhua Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity. (English) Zbl 1221.35096 J. Differ. Equations 250, No. 7, 3196-3229 (2011). Reviewer: Yaping Liu (Pittsburg) MSC: 35C07 35K58 35K15 35K57 35B10 35B35 35B40 PDFBibTeX XMLCite \textit{Z.-C. Wang} and \textit{J. Wu}, J. Differ. Equations 250, No. 7, 3196--3229 (2011; Zbl 1221.35096) Full Text: DOI
Liu, Nai-Wei; Li, Wan-Tong; Wang, Zhi-Cheng Entire solutions of reaction-advection-diffusion equations with bistable nonlinearity in cylinders. (English) Zbl 1175.35074 J. Differ. Equations 246, No. 11, 4249-4267 (2009). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35K57 35B05 35B40 34K30 PDFBibTeX XMLCite \textit{N.-W. Liu} et al., J. Differ. Equations 246, No. 11, 4249--4267 (2009; Zbl 1175.35074) Full Text: DOI
Li, Wan-Tong; Liu, Nai-Wei; Wang, Zhi-Cheng Entire solutions in reaction-advection-diffusion equations in cylinders. (English) Zbl 1158.35378 J. Math. Pures Appl. (9) 90, No. 5, 492-504 (2008). MSC: 35K57 35B40 34K30 58D25 PDFBibTeX XMLCite \textit{W.-T. Li} et al., J. Math. Pures Appl. (9) 90, No. 5, 492--504 (2008; Zbl 1158.35378) Full Text: DOI