Chen, Pengyu; Wang, Renhai; Zhang, Xuping Asymptotically autonomous robustness of random attractors for 3D BBM equations driven by nonlinear colored noise. (English) Zbl 07785718 SIAM J. Math. Anal. 56, No. 1, 254-274 (2024). MSC: 35B41 35R60 37B55 37L55 60H15 PDFBibTeX XMLCite \textit{P. Chen} et al., SIAM J. Math. Anal. 56, No. 1, 254--274 (2024; Zbl 07785718) Full Text: DOI
Zhang, Lingrui; Li, Xue-Zhi; Su, Keqin Dynamical behavior of Benjamin-Bona-Mahony system with finite distributed delay in 3D. (English) Zbl 07804431 Electron. Res. Arch. 31, No. 11, 6881-6897 (2023). MSC: 35B41 35D30 35Q53 PDFBibTeX XMLCite \textit{L. Zhang} et al., Electron. Res. Arch. 31, No. 11, 6881--6897 (2023; Zbl 07804431) Full Text: DOI
Chen, Pengyu; Wang, Bixiang; Wang, Renhai; Zhang, Xuping Multivalued random dynamics of Benjamin-Bona-Mahony equations driven by nonlinear colored noise on unbounded domains. (English) Zbl 1520.35012 Math. Ann. 386, No. 1-2, 343-373 (2023). Reviewer: Qiangheng Zhang (Heze) MSC: 35B40 35B41 35R60 60H15 PDFBibTeX XMLCite \textit{P. Chen} et al., Math. Ann. 386, No. 1--2, 343--373 (2023; Zbl 1520.35012) Full Text: DOI
Chen, Pengyu; Zhang, Xuping Random dynamics of stochastic BBM equations driven by nonlinear colored noise on unbounded channel. (English) Zbl 1501.35081 J. Evol. Equ. 22, No. 4, Paper No. 87, 29 p. (2022). MSC: 35B41 35R60 37L55 60H15 PDFBibTeX XMLCite \textit{P. Chen} and \textit{X. Zhang}, J. Evol. Equ. 22, No. 4, Paper No. 87, 29 p. (2022; Zbl 1501.35081) Full Text: DOI
Zhang, Qiangheng Dynamics of stochastic retarded Benjamin-Bona-Mahony equations on unbounded channels. (English) Zbl 1509.37115 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5723-5755 (2022). Reviewer: Jun Shen (Chengdu) MSC: 37L55 37L30 35Q35 35B41 35R60 60H15 PDFBibTeX XMLCite \textit{Q. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5723--5755 (2022; Zbl 1509.37115) Full Text: DOI
Nguyen, Huy Tuan; Tuan, Nguyen Anh; Yang, Chao Global well-posedness for fractional Sobolev-Galpern type equations. (English) Zbl 1489.35303 Discrete Contin. Dyn. Syst. 42, No. 6, 2637-2665 (2022). MSC: 35R11 35K20 35K58 35K70 PDFBibTeX XMLCite \textit{H. T. Nguyen} et al., Discrete Contin. Dyn. Syst. 42, No. 6, 2637--2665 (2022; Zbl 1489.35303) Full Text: DOI arXiv
Shiralashetti, S. C.; Hanaji, S. I. Taylor wavelet collocation method for Benjamin-Bona-Mahony partial differential equations. (English) Zbl 1473.35491 Results Appl. Math. 9, Article ID 100139, 17 p. (2021). MSC: 35Q53 65T60 65N35 65N12 65N15 PDFBibTeX XMLCite \textit{S. C. Shiralashetti} and \textit{S. I. Hanaji}, Results Appl. Math. 9, Article ID 100139, 17 p. (2021; Zbl 1473.35491) Full Text: DOI
Zhao, Mingxia; Yang, Xin-Guang; Yan, Xingjie; Cui, Xiaona Dynamics of a 3D Benjamin-Bona-Mahony equations with sublinear operator. (English) Zbl 1472.35345 Asymptotic Anal. 121, No. 1, 75-100 (2021). MSC: 35Q53 35B40 35B41 37L30 76B15 PDFBibTeX XMLCite \textit{M. Zhao} et al., Asymptotic Anal. 121, No. 1, 75--100 (2021; Zbl 1472.35345) Full Text: DOI
Wang, Renhai; Li, Yangrong Asymptotic autonomy of random attractors for BBM equations with Laplace-multiplier noise. (English) Zbl 1459.35047 J. Appl. Anal. Comput. 10, No. 4, 1199-1222 (2020). MSC: 35B41 35R60 37L55 60H15 PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Li}, J. Appl. Anal. Comput. 10, No. 4, 1199--1222 (2020; Zbl 1459.35047) Full Text: DOI
Zarebnia, M.; Parvaz, R. Error analysis of the numerical solution of the Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1431.65192 Bol. Soc. Parana. Mat. (3) 38, No. 3, 177-191 (2020). MSC: 65M70 41A15 65M12 PDFBibTeX XMLCite \textit{M. Zarebnia} and \textit{R. Parvaz}, Bol. Soc. Parana. Mat. (3) 38, No. 3, 177--191 (2020; Zbl 1431.65192) Full Text: Link
Yin, Fuqi; Li, Xueli Fractal dimensions of random attractors for stochastic Benjamin-Bona-Mahony equation on unbounded domains. (English) Zbl 1408.37137 Comput. Math. Appl. 75, No. 5, 1595-1615 (2018). MSC: 37L55 37H10 60H15 PDFBibTeX XMLCite \textit{F. Yin} and \textit{X. Li}, Comput. Math. Appl. 75, No. 5, 1595--1615 (2018; Zbl 1408.37137) Full Text: DOI
Kalantarov, Varga K.; Titi, Edriss S. Global stabilization of the Navier-Stokes-voight and the damped nonlinear wave equations by finite number of feedback controllers. (English) Zbl 1402.35043 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1325-1345 (2018). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B40 35B41 35Q35 35Q30 93D15 PDFBibTeX XMLCite \textit{V. K. Kalantarov} and \textit{E. S. Titi}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1325--1345 (2018; Zbl 1402.35043) Full Text: DOI arXiv
Wang, Ming; Liu, Anping Dynamics of the BBM equation with a distribution force in low regularity spaces. (English) Zbl 1390.37127 Topol. Methods Nonlinear Anal. 51, No. 1, 91-109 (2018). MSC: 37L30 35Q53 PDFBibTeX XMLCite \textit{M. Wang} and \textit{A. Liu}, Topol. Methods Nonlinear Anal. 51, No. 1, 91--109 (2018; Zbl 1390.37127) Full Text: DOI Euclid
Lyu, Pin; Vong, Seakweng A linearized second-order finite difference scheme for time fractional generalized BBM equation. (English) Zbl 1385.65051 Appl. Math. Lett. 78, 16-23 (2018). MSC: 65M06 35Q53 35R11 65M12 PDFBibTeX XMLCite \textit{P. Lyu} and \textit{S. Vong}, Appl. Math. Lett. 78, 16--23 (2018; Zbl 1385.65051) Full Text: DOI
Li, Yangrong; Wang, Renhai Random attractors for 3D Benjamin-Bona-Mahony equations derived by a Laplace-multiplier noise. (English) Zbl 1386.60222 Stoch. Dyn. 18, No. 1, Article ID 1850004, 26 p. (2018). MSC: 60H15 35B40 35B41 PDFBibTeX XMLCite \textit{Y. Li} and \textit{R. Wang}, Stoch. Dyn. 18, No. 1, Article ID 1850004, 26 p. (2018; Zbl 1386.60222) Full Text: DOI
Zhang, Sheng-Ping; Zhu, Chao-Sheng Asymptotic attractors of two-dimensional generalized Benjamin-Bona-Mahony equations. (English) Zbl 1412.35301 Appl. Math. E-Notes 17, 36-46 (2017). MSC: 35Q53 37L30 35B41 PDFBibTeX XMLCite \textit{S.-P. Zhang} and \textit{C.-S. Zhu}, Appl. Math. E-Notes 17, 36--46 (2017; Zbl 1412.35301) Full Text: Link
Zarebnia, M.; Parvaz, R. Numerical study of the Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1424.65198 Bol. Soc. Parana. Mat. (3) 35, No. 1, 127-138 (2017). MSC: 65M70 65M12 78A48 PDFBibTeX XMLCite \textit{M. Zarebnia} and \textit{R. Parvaz}, Bol. Soc. Parana. Mat. (3) 35, No. 1, 127--138 (2017; Zbl 1424.65198) Full Text: Link
Zhou, Deqin; Wang, Liying; Mu, Chunlai On the regularity of the global attractor for a damped Rosenau equation on \(\mathbb R\). (English) Zbl 1367.35042 Appl. Anal. 96, No. 8, 1285-1294 (2017). MSC: 35B41 35B40 35Q53 35B65 PDFBibTeX XMLCite \textit{D. Zhou} et al., Appl. Anal. 96, No. 8, 1285--1294 (2017; Zbl 1367.35042) Full Text: DOI
Li, Yangrong; Wang, Renhai; Yin, Jinyan Backward compact attractors for non-autonomous Benjamin-Bona-Mahony equations on unbounded channels. (English) Zbl 1367.37057 Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2569-2586 (2017). Reviewer: Anhui Gu (Socorro) MSC: 37L30 35B40 35B41 PDFBibTeX XMLCite \textit{Y. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 7, 2569--2586 (2017; Zbl 1367.37057) Full Text: DOI
Zarebnia, M.; Parvaz, R. On the numerical treatment and analysis of Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1410.65406 Appl. Math. Comput. 284, 79-88 (2016). MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{M. Zarebnia} and \textit{R. Parvaz}, Appl. Math. Comput. 284, 79--88 (2016; Zbl 1410.65406) Full Text: DOI
Kang, Jum-Ran Attractors for autonomous and nonautonomous 3D Benjamin-Bona-Mahony equations. (English) Zbl 1410.35170 Appl. Math. Comput. 274, 343-352 (2016). MSC: 35Q53 35B41 PDFBibTeX XMLCite \textit{J.-R. Kang}, Appl. Math. Comput. 274, 343--352 (2016; Zbl 1410.35170) Full Text: DOI
Kang, Junjun; Guo, Yantao; Tang, Yanbin Local well-posedness of generalized BBM equations with generalized damping on 1D torus. (English) Zbl 1338.35115 Bound. Value Probl. 2015, Paper No. 227, 10 p. (2015). MSC: 35G31 35Q53 35B40 PDFBibTeX XMLCite \textit{J. Kang} et al., Bound. Value Probl. 2015, Paper No. 227, 10 p. (2015; Zbl 1338.35115) Full Text: DOI
Antman, Stuart S.; Ulusoy, Süleyman Global attractors for quasilinear parabolic-hyperbolic equations governing longitudinal motions of nonlinearly viscoelastic rods. (English) Zbl 1335.37057 Physica D 291, 31-44 (2015). MSC: 37N15 74K10 37C70 35B41 35Q74 PDFBibTeX XMLCite \textit{S. S. Antman} and \textit{S. Ulusoy}, Physica D 291, 31--44 (2015; Zbl 1335.37057) Full Text: DOI
Wang, Ming Long time behavior of a damped generalized BBM equation in low regularity spaces. (English) Zbl 1335.35224 Math. Methods Appl. Sci. 38, No. 18, 4852-4866 (2015). MSC: 35Q53 35B41 28A80 PDFBibTeX XMLCite \textit{M. Wang}, Math. Methods Appl. Sci. 38, No. 18, 4852--4866 (2015; Zbl 1335.35224) Full Text: DOI
Guo, Yantao; Wang, Ming; Tang, Yanbin Higher regularity of global attractor for a damped Benjamin-Bona-Mahony equation on \(R\). (English) Zbl 1339.37085 Appl. Anal. 94, No. 9, 1766-1783 (2015). MSC: 37L30 35C07 35B40 PDFBibTeX XMLCite \textit{Y. Guo} et al., Appl. Anal. 94, No. 9, 1766--1783 (2015; Zbl 1339.37085) Full Text: DOI
Zhu, Chaosheng Attractor of a semi-discrete Benjamin-Bona-Mahony equation on \(\mathbb {R}^1\). (English) Zbl 1339.35058 Ann. Pol. Math. 115, No. 3, 219-234 (2015). MSC: 35B41 35B45 PDFBibTeX XMLCite \textit{C. Zhu}, Ann. Pol. Math. 115, No. 3, 219--234 (2015; Zbl 1339.35058) Full Text: DOI
Wang, Ming Long time dynamics for a damped Benjamin-Bona-Mahony equation in low regularity spaces. (English) Zbl 1292.35053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 105, 134-144 (2014). MSC: 35B40 35B41 PDFBibTeX XMLCite \textit{M. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 105, 134--144 (2014; Zbl 1292.35053) Full Text: DOI
Chang, Ya-ya; Ma, Qiao-zhen A remark on the global attractors of the nonlinear evolution equations. (English) Zbl 1298.37081 ISRN Appl. Math. 2013, Article ID 372507, 3 p. (2013). MSC: 37N35 35Q74 74K10 28A80 PDFBibTeX XMLCite \textit{Y.-y. Chang} and \textit{Q.-z. Ma}, ISRN Appl. Math. 2013, Article ID 372507, 3 p. (2013; Zbl 1298.37081) Full Text: DOI
Huang, Zhehao; Liu, Zhengrong Uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations. (English) Zbl 1338.37114 Abstr. Appl. Anal. 2013, Article ID 492847, 17 p. (2013). MSC: 37L05 37L30 35Q35 37L55 PDFBibTeX XMLCite \textit{Z. Huang} and \textit{Z. Liu}, Abstr. Appl. Anal. 2013, Article ID 492847, 17 p. (2013; Zbl 1338.37114) Full Text: DOI
Chen, Tao; Chen, Zhe; Tang, Yanbin Finite dimensionality of global attractors for a non-classical reaction-diffusion equation with memory. (English) Zbl 1245.35067 Appl. Math. Lett. 25, No. 3, 357-362 (2012). MSC: 35K57 35B41 PDFBibTeX XMLCite \textit{T. Chen} et al., Appl. Math. Lett. 25, No. 3, 357--362 (2012; Zbl 1245.35067) Full Text: DOI
Park, Jong Yeoul; Park, Sun Hye Pullback attractors for the non-autonomous Benjamin-Bona-Mahony equation in unbounded domains. (English) Zbl 1219.35026 Sci. China, Math. 54, No. 4, 741-752 (2011). MSC: 35B41 35B40 35K20 35K58 PDFBibTeX XMLCite \textit{J. Y. Park} and \textit{S. H. Park}, Sci. China, Math. 54, No. 4, 741--752 (2011; Zbl 1219.35026) Full Text: DOI
Zhu, Chang Rong; Zhang, Wei Nian Persistence of bounded solutions to degenerate Sobolev-Galpern equations. (English) Zbl 1209.35071 Sci. China, Math. 53, No. 11, 2831-2846 (2010). MSC: 35K65 35K70 37D05 PDFBibTeX XMLCite \textit{C. R. Zhu} and \textit{W. N. Zhang}, Sci. China, Math. 53, No. 11, 2831--2846 (2010; Zbl 1209.35071) Full Text: DOI
Kalantarov, Varga K.; Titi, Edriss S. Global attractors and determining modes for the 3D Navier-Stokes-Voight equations. (English) Zbl 1178.37112 Chin. Ann. Math., Ser. B 30, No. 6, 697-714 (2009). MSC: 37L30 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{V. K. Kalantarov} and \textit{E. S. Titi}, Chin. Ann. Math., Ser. B 30, No. 6, 697--714 (2009; Zbl 1178.37112) Full Text: DOI arXiv
Meyvaci, M. Blow up of solutions of pseudoparabolic equations. (English) Zbl 1160.35459 J. Math. Anal. Appl. 352, No. 2, 629-633 (2009). MSC: 35K70 35K65 PDFBibTeX XMLCite \textit{M. Meyvaci}, J. Math. Anal. Appl. 352, No. 2, 629--633 (2009; Zbl 1160.35459) Full Text: DOI
Wang, Bixiang Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains. (English) Zbl 1165.60025 J. Differ. Equations 246, No. 6, 2506-2537 (2009). Reviewer: Kai Liu (Liverpool) MSC: 60H15 35B40 35B41 PDFBibTeX XMLCite \textit{B. Wang}, J. Differ. Equations 246, No. 6, 2506--2537 (2009; Zbl 1165.60025) Full Text: DOI arXiv
Zhu, Chaosheng; Mu, Chunlai Exponential decay estimates for time-delayed Benjamin-Bona-Mahony equations. (English) Zbl 1143.35383 Appl. Anal. 87, No. 4, 401-407 (2008). MSC: 35R10 35Q53 35B35 PDFBibTeX XMLCite \textit{C. Zhu} and \textit{C. Mu}, Appl. Anal. 87, No. 4, 401--407 (2008; Zbl 1143.35383) Full Text: DOI
Zhu, Chaosheng Global attractor for the damped Benjamin-Bona-Mahony equations on \(\mathbb{R}^{1}\). (English) Zbl 1124.35012 Appl. Anal. 86, No. 1, 59-65 (2007). MSC: 35B41 35B40 PDFBibTeX XMLCite \textit{C. Zhu}, Appl. Anal. 86, No. 1, 59--65 (2007; Zbl 1124.35012) Full Text: DOI
Stanislavova, Milena; Stefanov, Atanas; Wang, Bixiang Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on \(\mathbb R^3\). (English) Zbl 1160.35354 J. Differ. Equations 219, No. 2, 451-483 (2005). MSC: 35B41 35B40 PDFBibTeX XMLCite \textit{M. Stanislavova} et al., J. Differ. Equations 219, No. 2, 451--483 (2005; Zbl 1160.35354) Full Text: DOI