Shen, Wenxian; Wang, Yi; Zhou, Dun Almost automorphically-forced flows on \(S^1\) or \(\mathbb{R}\) in one-dimensional almost periodic semilinear heat equations. (English) Zbl 1501.35249 Sci. China, Math. 65, No. 9, 1875-1894 (2022). Reviewer: Zhinan Xia (Hangzhou) MSC: 35K58 37C60 37L05 35B40 PDFBibTeX XMLCite \textit{W. Shen} et al., Sci. China, Math. 65, No. 9, 1875--1894 (2022; Zbl 1501.35249) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian Long time behavior of random and nonautonomous Fisher-KPP equations. I: Stability of equilibria and spreading speeds. (English) Zbl 1464.35038 J. Dyn. Differ. Equations 33, No. 2, 1035-1070 (2021). MSC: 35B40 35K15 35K57 35Q92 35R60 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, J. Dyn. Differ. Equations 33, No. 2, 1035--1070 (2021; Zbl 1464.35038) Full Text: DOI arXiv
Salako, Rachidi B.; Shen, Wenxian Long-time behavior of random and nonautonomous Fisher-KPP equations. II. Transition fronts. (English) Zbl 1430.35131 Stoch. Dyn. 19, No. 6, Article ID 1950046, 31 p. (2019). MSC: 35K57 35B35 35B40 35Q92 92C17 PDFBibTeX XMLCite \textit{R. B. Salako} and \textit{W. Shen}, Stoch. Dyn. 19, No. 6, Article ID 1950046, 31 p. (2019; Zbl 1430.35131) Full Text: DOI arXiv
Mierczyński, Janusz; Shen, Wenxian Spectral theory for forward nonautonomous parabolic equations and applications. (English) Zbl 1274.35253 Mallet-Paret, John (ed.) et al., Infinite dimensional dynamical systems. Collected papers of the international conference, Toronto, Canada, September 24–28, 2008. New York, NY: Springer; Toronto: Fields Institute for Research in Mathematical Sciences (ISBN 978-1-4614-4522-7/hbk; 978-1-4614-4523-4/ebook). Fields Institute Communications 64, 57-99 (2012). MSC: 35P15 35K15 35P05 35K55 37B55 92D25 PDFBibTeX XMLCite \textit{J. Mierczyński} and \textit{W. Shen}, Fields Inst. Commun. 64, 57--99 (2012; Zbl 1274.35253) Full Text: DOI
Hetzer, Georg; Madzvamuse, Anotida; Shen, Wenxian Characterization of Turing diffusion-driven instability on evolving domains. (English) Zbl 1252.35049 Discrete Contin. Dyn. Syst. 32, No. 11, 3975-4000 (2012). Reviewer: Guy Katriel (Haifa) MSC: 35B35 35K55 35K57 37B55 37C60 37C75 PDFBibTeX XMLCite \textit{G. Hetzer} et al., Discrete Contin. Dyn. Syst. 32, No. 11, 3975--4000 (2012; Zbl 1252.35049) Full Text: DOI
Mierczyński, Janusz; Shen, Wenxian Persistence in forward nonautonomous competitive systems of parabolic equations. (English) Zbl 1239.35059 J. Dyn. Differ. Equations 23, No. 3, 551-571 (2011). Reviewer: Zhen Jin (Taiyuan) MSC: 35K40 35K51 PDFBibTeX XMLCite \textit{J. Mierczyński} and \textit{W. Shen}, J. Dyn. Differ. Equations 23, No. 3, 551--571 (2011; Zbl 1239.35059) Full Text: DOI
Huang, Jianhua; Shen, Wenxian Pullback attractors for nonautonomous and random parabolic equations on non-smooth domains. (English) Zbl 1180.35121 Discrete Contin. Dyn. Syst. 24, No. 3, 855-882 (2009). Reviewer: Bixiang Wang (Socorro) MSC: 35B41 35K55 35R60 37L30 37L55 PDFBibTeX XMLCite \textit{J. Huang} and \textit{W. Shen}, Discrete Contin. Dyn. Syst. 24, No. 3, 855--882 (2009; Zbl 1180.35121) Full Text: DOI
Shen, Wenxian; Wang, Yi Carrying simplices in nonautonomous and random competitive Kolmogorov systems. (English) Zbl 1208.37009 J. Differ. Equations 245, No. 1, 1-29 (2008). MSC: 37B55 37H10 37N25 92D25 34D05 PDFBibTeX XMLCite \textit{W. Shen} and \textit{Y. Wang}, J. Differ. Equations 245, No. 1, 1--29 (2008; Zbl 1208.37009) Full Text: DOI
Shen, Wenxian Traveling waves in time dependent bistable equations. (English) Zbl 1212.35220 Differ. Integral Equ. 19, No. 3, 241-278 (2006). MSC: 35K55 35K57 37B55 92D25 PDFBibTeX XMLCite \textit{W. Shen}, Differ. Integral Equ. 19, No. 3, 241--278 (2006; Zbl 1212.35220)
Shen, Wenxian; Zhao, Xiao-Qiang Convergence in almost periodic cooperative systems with a first integral. (English) Zbl 1064.34033 Proc. Am. Math. Soc. 133, No. 1, 203-212 (2005). Reviewer: Yuan Rong (Beijing) MSC: 34D05 34C12 34C27 37B55 PDFBibTeX XMLCite \textit{W. Shen} and \textit{X.-Q. Zhao}, Proc. Am. Math. Soc. 133, No. 1, 203--212 (2005; Zbl 1064.34033) Full Text: DOI
Mierczyński, Janusz; Shen, Wenxian; Zhao, Xiao-Qiang Uniform persistence for nonautonomous and random parabolic Kolmogorov systems. (English) Zbl 1092.35015 J. Differ. Equations 204, No. 2, 471-510 (2004). Reviewer: Takeshi Taniguchi (Kurume) MSC: 35B41 35K55 37B55 37L30 37H15 37L55 92D25 PDFBibTeX XMLCite \textit{J. Mierczyński} et al., J. Differ. Equations 204, No. 2, 471--510 (2004; Zbl 1092.35015) Full Text: DOI