Chen, Pengyu; Wang, Bixiang; Zhang, Xuping Dynamics of fractional nonclassical diffusion equations with delay driven by additive noise on \(\mathbb{R}^n\). (English) Zbl 1503.35251 Discrete Contin. Dyn. Syst., Ser. B 27, No. 9, 5129-5159 (2022). MSC: 35R11 35B40 35B41 35K57 35R60 60H15 PDFBibTeX XMLCite \textit{P. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 9, 5129--5159 (2022; Zbl 1503.35251) Full Text: DOI
Wang, Renhai; Li, Yangrong; Wang, Bixiang Bi-spatial pullback attractors of fractional nonclassical diffusion equations on unbounded domains with \((p, q)\)-growth nonlinearities. (English) Zbl 1476.37091 Appl. Math. Optim. 84, No. 1, 425-461 (2021). MSC: 37L30 26A33 35R11 PDFBibTeX XMLCite \textit{R. Wang} et al., Appl. Math. Optim. 84, No. 1, 425--461 (2021; Zbl 1476.37091) Full Text: DOI
Wang, Renhai; Wang, Bixiang Random dynamics of non-autonomous fractional stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\). (English) Zbl 1456.35246 Banach J. Math. Anal. 15, No. 1, Paper No. 19, 42 p. (2021). MSC: 35R60 35R11 35K93 35K15 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{R. Wang} and \textit{B. Wang}, Banach J. Math. Anal. 15, No. 1, Paper No. 19, 42 p. (2021; Zbl 1456.35246) Full Text: DOI
Gu, Anhui; Guo, Boling; Wang, Bixiang Long term behavior of random Navier-Stokes equations driven by colored noise. (English) Zbl 1442.35301 Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2495-2532 (2020). MSC: 35Q30 35B40 35B41 37L30 76D05 35R60 60H40 PDFBibTeX XMLCite \textit{A. Gu} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2495--2532 (2020; Zbl 1442.35301) Full Text: DOI
Wang, Bixiang Weak pullback attractors for mean random dynamical systems in Bochner spaces. (English) Zbl 1428.35052 J. Dyn. Differ. Equations 31, No. 4, 2177-2204 (2019). MSC: 35B41 35B40 37L30 35K57 PDFBibTeX XMLCite \textit{B. Wang}, J. Dyn. Differ. Equations 31, No. 4, 2177--2204 (2019; Zbl 1428.35052) Full Text: DOI
Wang, Renhai; Shi, Lin; Wang, Bixiang Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on \(\mathbb{R}^N\). (English) Zbl 1423.35419 Nonlinearity 32, No. 11, 4524-4556 (2019). MSC: 35R11 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{R. Wang} et al., Nonlinearity 32, No. 11, 4524--4556 (2019; Zbl 1423.35419) Full Text: DOI
Gu, Anhui; Wang, Bixiang Random attractors of Fitzhugh-Nagumo systems driven by colored noise on unbounded domains. (English) Zbl 1423.35473 Stoch. Dyn. 19, No. 5, Article ID 1950035, 38 p. (2019). MSC: 35R60 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{A. Gu} and \textit{B. Wang}, Stoch. Dyn. 19, No. 5, Article ID 1950035, 38 p. (2019; Zbl 1423.35473) Full Text: DOI
Wang, Bixiang Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise. (English) Zbl 1473.37098 J. Differ. Equations 268, No. 1, 1-59 (2019). Reviewer: Anhui Gu (Chongqing) MSC: 37L55 37L30 37L40 35K57 35R11 60H15 PDFBibTeX XMLCite \textit{B. Wang}, J. Differ. Equations 268, No. 1, 1--59 (2019; Zbl 1473.37098) Full Text: DOI
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu Random dynamics of fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\) without uniqueness. (English) Zbl 1418.35233 J. Math. Phys. 60, No. 7, 072704, 21 p. (2019). MSC: 35K57 35R60 35B40 35G30 35A01 35A02 PDFBibTeX XMLCite \textit{D. Li} et al., J. Math. Phys. 60, No. 7, 072704, 21 p. (2019; Zbl 1418.35233) Full Text: DOI
Wang, Bixiang Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise. (English) Zbl 1425.37048 J. Math. Anal. Appl. 477, No. 1, 104-132 (2019). MSC: 37L55 37L30 35K57 PDFBibTeX XMLCite \textit{B. Wang}, J. Math. Anal. Appl. 477, No. 1, 104--132 (2019; Zbl 1425.37048) Full Text: DOI
Shang, Yadong; Tian, Jianjun Paul; Wang, Bixiang Asymptotic behavior of the stochastic Keller-Segel equations. (English) Zbl 1411.35049 Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1367-1391 (2019). MSC: 35B41 35B40 37L30 92C17 35K51 35R60 PDFBibTeX XMLCite \textit{Y. Shang} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 3, 1367--1391 (2019; Zbl 1411.35049) Full Text: DOI
Wang, Bixiang Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms. (English) Zbl 1407.37110 Proc. Am. Math. Soc. 147, No. 4, 1627-1638 (2019). MSC: 37L55 37B55 35B41 35B40 35Q30 PDFBibTeX XMLCite \textit{B. Wang}, Proc. Am. Math. Soc. 147, No. 4, 1627--1638 (2019; Zbl 1407.37110) Full Text: DOI
Lu, Hong; Qi, Jiangang; Wang, Bixiang; Zhang, Mingji Random attractors for non-autonomous fractional stochastic parabolic equations on unbounded domains. (English) Zbl 1404.35051 Discrete Contin. Dyn. Syst. 39, No. 2, 683-706 (2019). MSC: 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{H. Lu} et al., Discrete Contin. Dyn. Syst. 39, No. 2, 683--706 (2019; Zbl 1404.35051) Full Text: DOI
Gu, Anhui; Lu, Kening; Wang, Bixiang Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations. (English) Zbl 1408.35123 Discrete Contin. Dyn. Syst. 39, No. 1, 185-218 (2019). MSC: 35Q30 35B40 35B41 37L30 35R60 76D05 PDFBibTeX XMLCite \textit{A. Gu} et al., Discrete Contin. Dyn. Syst. 39, No. 1, 185--218 (2019; Zbl 1408.35123) Full Text: DOI
Gu, Anhui; Wang, Bixiang Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise. (English) Zbl 1396.35078 Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1689-1720 (2018). MSC: 35R60 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{A. Gu} and \textit{B. Wang}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1689--1720 (2018; Zbl 1396.35078) Full Text: DOI
Gu, Anhui; Li, Dingshi; Wang, Bixiang; Yang, Han Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\). (English) Zbl 1388.35231 J. Differ. Equations 264, No. 12, 7094-7137 (2018). MSC: 35R60 35R11 35K57 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{A. Gu} et al., J. Differ. Equations 264, No. 12, 7094--7137 (2018; Zbl 1388.35231) Full Text: DOI
Wang, Bixiang Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations. (English) Zbl 1366.35229 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 158, 60-82 (2017). MSC: 35R11 60H15 35R60 35K57 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{B. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 158, 60--82 (2017; Zbl 1366.35229) Full Text: DOI
Wang, Bixiang Multivalued non-autonomous random dynamical systems for wave equations without uniqueness. (English) Zbl 1359.35012 Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 2011-2051 (2017). MSC: 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{B. Wang}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 2011--2051 (2017; Zbl 1359.35012) Full Text: DOI arXiv
Li, Dingshi; Wang, Bixiang; Wang, Xiaohu Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains. (English) Zbl 1360.60125 J. Differ. Equations 262, No. 3, 1575-1602 (2017). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 60H15 35R60 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{D. Li} et al., J. Differ. Equations 262, No. 3, 1575--1602 (2017; Zbl 1360.60125) Full Text: DOI
Wang, Xiaohu; Lu, Kening; Wang, Bixiang Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. (English) Zbl 1317.60081 SIAM J. Appl. Dyn. Syst. 14, No. 2, 1018-1047 (2015). MSC: 60H15 35R60 35B41 PDFBibTeX XMLCite \textit{X. Wang} et al., SIAM J. Appl. Dyn. Syst. 14, No. 2, 1018--1047 (2015; Zbl 1317.60081) Full Text: DOI
Wang, Bixiang Stochastic bifurcation of pathwise random almost periodic and almost automorphic solutions for random dynamical systems. (English) Zbl 1317.37055 Discrete Contin. Dyn. Syst. 35, No. 8, 3745-3769 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 37H20 37G35 60H10 PDFBibTeX XMLCite \textit{B. Wang}, Discrete Contin. Dyn. Syst. 35, No. 8, 3745--3769 (2015; Zbl 1317.37055) Full Text: DOI arXiv
Bates, Peter W.; Lu, Kening; Wang, Bixiang Attractors of non-autonomous stochastic lattice systems in weighted spaces. (English) Zbl 1364.34113 Physica D 289, 32-50 (2014). MSC: 34K31 34K50 34D45 PDFBibTeX XMLCite \textit{P. W. Bates} et al., Physica D 289, 32--50 (2014; Zbl 1364.34113) Full Text: DOI
Krause, Andrew; Lewis, Michael; Wang, Bixiang Dynamics of the non-autonomous stochastic \(p\)-Laplace equation driven by multiplicative noise. (English) Zbl 1338.35514 Appl. Math. Comput. 246, 365-376 (2014). MSC: 35R60 35K92 35B41 PDFBibTeX XMLCite \textit{A. Krause} et al., Appl. Math. Comput. 246, 365--376 (2014; Zbl 1338.35514) Full Text: DOI
Krause, Andrew; Wang, Bixiang Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains. (English) Zbl 1307.35059 J. Math. Anal. Appl. 417, No. 2, 1018-1038 (2014). MSC: 35B41 35R60 35K15 35K92 PDFBibTeX XMLCite \textit{A. Krause} and \textit{B. Wang}, J. Math. Anal. Appl. 417, No. 2, 1018--1038 (2014; Zbl 1307.35059) Full Text: DOI arXiv
Wang, Bixiang Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms. (English) Zbl 1304.35789 Stoch. Dyn. 14, No. 4, Article ID 1450009, 31 p. (2014). MSC: 35R60 35B41 35B40 60H15 37L30 PDFBibTeX XMLCite \textit{B. Wang}, Stoch. Dyn. 14, No. 4, Article ID 1450009, 31 p. (2014; Zbl 1304.35789) Full Text: DOI arXiv
Wang, Bixiang Existence, stability and bifurcation of random complete and periodic solutions of stochastic parabolic equations. (English) Zbl 1284.35466 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 103, 9-25 (2014). MSC: 35R60 37L55 37L30 60H15 PDFBibTeX XMLCite \textit{B. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 103, 9--25 (2014; Zbl 1284.35466) Full Text: DOI arXiv
Wang, Bixiang Random attractors for non-autonomous stochastic wave equations with multiplicative noise. (English) Zbl 1277.35068 Discrete Contin. Dyn. Syst. 34, No. 1, 269-300 (2014). MSC: 35B41 35B40 37L30 35R60 PDFBibTeX XMLCite \textit{B. Wang}, Discrete Contin. Dyn. Syst. 34, No. 1, 269--300 (2014; Zbl 1277.35068) Full Text: DOI
Bates, Peter W.; Lu, Kening; Wang, Bixiang Tempered random attractors for parabolic equations in weighted spaces. (English) Zbl 1288.35097 J. Math. Phys. 54, No. 8, 081505, 26 p. (2013). MSC: 35B41 35B10 35R60 37H10 PDFBibTeX XMLCite \textit{P. W. Bates} et al., J. Math. Phys. 54, No. 8, 081505, 26 p. (2013; Zbl 1288.35097) Full Text: DOI
Wang, Bixiang Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems. (English) Zbl 1252.35081 J. Differ. Equations 253, No. 5, 1544-1583 (2012). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35B41 35B40 37L30 35K57 34F05 PDFBibTeX XMLCite \textit{B. Wang}, J. Differ. Equations 253, No. 5, 1544--1583 (2012; Zbl 1252.35081) Full Text: DOI arXiv