Gomez, Daniel; De Medeiros, Markus; Wei, Jun-cheng; Yang, Wen Spike solutions to the supercritical fractional Gierer-Meinhardt system. (English) Zbl 07787316 J. Nonlinear Sci. 34, No. 1, Paper No. 24, 57 p. (2024). MSC: 35K57 35B25 35B36 35K51 35R11 PDFBibTeX XMLCite \textit{D. Gomez} et al., J. Nonlinear Sci. 34, No. 1, Paper No. 24, 57 p. (2024; Zbl 07787316) Full Text: DOI arXiv
Gomez, Daniel; Wei, Jun-cheng; Yang, Zhangyu Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system. (English) Zbl 1518.35038 Physica D 448, Article ID 133720, 12 p. (2023). MSC: 35B25 35C08 35C20 35K51 35K57 35R11 PDFBibTeX XMLCite \textit{D. Gomez} et al., Physica D 448, Article ID 133720, 12 p. (2023; Zbl 1518.35038) Full Text: DOI
Tzou, J. C.; Xie, S. Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains. (English) Zbl 1511.35018 Nonlinearity 36, No. 5, 2473-2513 (2023). MSC: 35B25 35B32 35B40 35C20 35K51 35K57 PDFBibTeX XMLCite \textit{J. C. Tzou} and \textit{S. Xie}, Nonlinearity 36, No. 5, 2473--2513 (2023; Zbl 1511.35018) Full Text: DOI arXiv
Gomez, Daniel; Wei, Jun-Cheng; Yang, Wen Stability of spike solutions to the fractional Gierer-Meinhardt system in a one-dimensional domain. (English) Zbl 1524.35692 Numer. Math., Theory Methods Appl. 15, No. 4, 938-989 (2022). MSC: 35R11 35B32 60K50 35B25 PDFBibTeX XMLCite \textit{D. Gomez} et al., Numer. Math., Theory Methods Appl. 15, No. 4, 938--989 (2022; Zbl 1524.35692) Full Text: DOI arXiv
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng Boundary layer solutions in the Gierer-Meinhardt system with inhomogeneous boundary conditions. (English) Zbl 1484.35024 Physica D 429, Article ID 133071, 16 p. (2022). MSC: 35B25 35B36 35C20 35K51 35K57 PDFBibTeX XMLCite \textit{D. Gomez} et al., Physica D 429, Article ID 133071, 16 p. (2022; Zbl 1484.35024) Full Text: DOI