Bautista, George; Pazoto, Ademir A note on the control and stabilization of a higher-order water wave model. (English) Zbl 1504.93023 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1513-1527 (2023). MSC: 93B05 93D15 93D23 35Q53 PDFBibTeX XMLCite \textit{G. Bautista} and \textit{A. Pazoto}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1513--1527 (2023; Zbl 1504.93023) Full Text: DOI
Khorbatly, Bashar Long, intermediate and short-term well-posedness of high precision shallow-water models with topography variations. (English) Zbl 1498.35426 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 93-133 (2023). MSC: 35Q35 35L45 35L60 76B45 76B15 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{B. Khorbatly}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 93--133 (2023; Zbl 1498.35426) Full Text: DOI
Le, Aiting; Qian, Chenyin Smoothing effect and well-posedness for 2D Boussinesq equations in critical Sobolev space. (English) Zbl 1498.35134 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7625-7656 (2022). MSC: 35B65 35B44 35Q35 35R11 PDFBibTeX XMLCite \textit{A. Le} and \textit{C. Qian}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7625--7656 (2022; Zbl 1498.35134) Full Text: DOI
Li, Congcong; Li, Chunqiu; Wang, Jintao Statistical solution and Liouville type theorem for coupled Schrödinger-Boussinesq equations on infinite lattices. (English) Zbl 1496.35125 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 6173-6196 (2022). MSC: 35B53 34A33 35B41 39A12 76F20 PDFBibTeX XMLCite \textit{C. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 6173--6196 (2022; Zbl 1496.35125) Full Text: DOI
Ma, Liangliang Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations. (English) Zbl 1481.35341 Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 863-882 (2022). MSC: 35Q35 35Q86 76D03 76D50 76R10 86A05 35B35 35B40 35B20 26A33 35R11 PDFBibTeX XMLCite \textit{L. Ma}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 863--882 (2022; Zbl 1481.35341) Full Text: DOI
Angulo-Castillo, Vladimir; Ferreira, Lucas C. F. Long-time solvability in Besov spaces for the inviscid 3D-Boussinesq-Coriolis equations. (English) Zbl 1464.35206 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4553-4573 (2020). MSC: 35Q35 76U05 76B03 35A01 35A02 42B35 35B44 35B65 PDFBibTeX XMLCite \textit{V. Angulo-Castillo} and \textit{L. C. F. Ferreira}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4553--4573 (2020; Zbl 1464.35206) Full Text: DOI
Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls. (English) Zbl 1452.35229 Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 4071-4117 (2020). MSC: 35Q93 35B35 35K40 93C20 93B52 76D05 80A17 PDFBibTeX XMLCite \textit{I. Lasiecka} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 4071--4117 (2020; Zbl 1452.35229) Full Text: DOI arXiv
Xia, Zeyu; Yang, Xiaofeng A second order accuracy in time, Fourier pseudo-spectral numerical scheme for “good” Boussinesq equation. (English) Zbl 1445.65040 Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3749-3768 (2020). MSC: 65M70 65M06 65M15 65M12 65M22 76D05 35Q35 PDFBibTeX XMLCite \textit{Z. Xia} and \textit{X. Yang}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3749--3768 (2020; Zbl 1445.65040) Full Text: DOI
Huo, Wenru; Huang, Aimin The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case. (English) Zbl 1352.35190 Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2531-2550 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q86 35R11 34D45 35B32 86A05 86A10 35D35 26A33 PDFBibTeX XMLCite \textit{W. Huo} and \textit{A. Huang}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2531--2550 (2016; Zbl 1352.35190) Full Text: DOI arXiv
Huang, Jianhua; Shen, Tianlong; Li, Yuhong Dynamics of stochastic fractional Boussinesq equations. (English) Zbl 1334.37092 Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 2051-2067 (2015). MSC: 37L55 35R11 35Q35 35B40 35B41 35R60 PDFBibTeX XMLCite \textit{J. Huang} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 2051--2067 (2015; Zbl 1334.37092) Full Text: DOI
Villamizar-Roa, Elder J.; Ortega-Torres, Elva E. On a generalized Boussinesq model around a rotating obstacle: existence of strong solutions. (English) Zbl 1217.35147 Discrete Contin. Dyn. Syst., Ser. B 15, No. 3, 825-847 (2011). MSC: 35Q35 76D03 76U05 35D35 70E15 PDFBibTeX XMLCite \textit{E. J. Villamizar-Roa} and \textit{E. E. Ortega-Torres}, Discrete Contin. Dyn. Syst., Ser. B 15, No. 3, 825--847 (2011; Zbl 1217.35147) Full Text: DOI
Deng, Tingyuan Three-dimensional sphere \(S^3\)-attractors in Rayleigh-Bénard convection. (English) Zbl 1189.35247 Discrete Contin. Dyn. Syst., Ser. B 13, No. 3, 577-591 (2010). MSC: 35Q35 35Q53 35B32 35B41 37G35 76F02 PDFBibTeX XMLCite \textit{T. Deng}, Discrete Contin. Dyn. Syst., Ser. B 13, No. 3, 577--591 (2010; Zbl 1189.35247) Full Text: DOI
Bristeau, Marie-Odile; Sainte-Marie, Jacques Derivation of a non-hydrostatic shallow water model; comparison with Saint-Venant and Boussinesq systems. (English) Zbl 1155.35405 Discrete Contin. Dyn. Syst., Ser. B 10, No. 4, 733-759 (2008). MSC: 35Q30 35Q35 76D05 PDFBibTeX XMLCite \textit{M.-O. Bristeau} and \textit{J. Sainte-Marie}, Discrete Contin. Dyn. Syst., Ser. B 10, No. 4, 733--759 (2008; Zbl 1155.35405) Full Text: DOI arXiv