Lin, Shuning; Chen, Yong Gradient-enhanced physics-informed neural networks based on transfer learning for inverse problems of the variable coefficient differential equations. (English) Zbl 07814534 Physica D 459, Article ID 134023, 21 p. (2024). MSC: 35Q55 35Q41 35R30 35C08 68T07 78A60 76U65 65K10 65M99 35R60 PDFBibTeX XMLCite \textit{S. Lin} and \textit{Y. Chen}, Physica D 459, Article ID 134023, 21 p. (2024; Zbl 07814534) Full Text: DOI arXiv
Bravin, Marco; Fanelli, Francesco Fast rotating non-homogeneous fluids in thin domains and the Ekman pumping effect. (English) Zbl 1527.35261 J. Math. Fluid Mech. 25, No. 4, Paper No. 83, 41 p. (2023). MSC: 35Q35 35Q86 35B25 35B40 76U05 76U65 76D10 PDFBibTeX XMLCite \textit{M. Bravin} and \textit{F. Fanelli}, J. Math. Fluid Mech. 25, No. 4, Paper No. 83, 41 p. (2023; Zbl 1527.35261) Full Text: DOI arXiv OA License
Udalov, Alexander A.; Uleysky, Michael Yu.; Budyansky, Maxim V. Analysis of stationary points and bifurcations of a dynamically consistent model of a two-dimensional meandering jet. (English) Zbl 1523.76114 Russ. J. Nonlinear Dyn. 19, No. 1, 49-58 (2023). MSC: 76U60 76U65 76E20 37N10 PDFBibTeX XMLCite \textit{A. A. Udalov} et al., Russ. J. Nonlinear Dyn. 19, No. 1, 49--58 (2023; Zbl 1523.76114) Full Text: DOI MNR
Crisan, D.; Holm, D. D.; Luesink, E.; Mensah, P. R.; Pan, W. Theoretical and computational analysis of the thermal quasi-geostrophic model. (English) Zbl 07741969 J. Nonlinear Sci. 33, No. 5, Paper No. 96, 58 p. (2023). MSC: 35Q86 35Q31 76U60 76U65 76R10 76M60 65D30 65M60 65M06 65L06 65N30 65M12 35D35 35B65 86A05 PDFBibTeX XMLCite \textit{D. Crisan} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 96, 58 p. (2023; Zbl 07741969) Full Text: DOI arXiv
Roulley, Emeric Vortex rigid motion in quasi-geostrophic shallow-water equations. (English) Zbl 07737689 Asymptotic Anal. 133, No. 3, 397-446 (2023). MSC: 35Q86 35Q31 86A05 76U65 76B47 76B03 35B32 35B10 35A01 35A02 PDFBibTeX XMLCite \textit{E. Roulley}, Asymptotic Anal. 133, No. 3, 397--446 (2023; Zbl 07737689) Full Text: DOI arXiv
Nualart, Marc On zonal steady solutions to the 2D Euler equations on the rotating unit sphere. (English) Zbl 1522.35393 Nonlinearity 36, No. 9, 4981-5006 (2023). MSC: 35Q31 76E20 76U65 86A10 35C09 35B32 35B65 PDFBibTeX XMLCite \textit{M. Nualart}, Nonlinearity 36, No. 9, 4981--5006 (2023; Zbl 1522.35393) Full Text: DOI arXiv
Farwig, Reinhard; Qian, Chenyin Asymptotic behavior analysis for non-autonomous quasi-geostrophic equations in \(\mathbb{R}^2\). (English) Zbl 1522.35405 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 67, 44 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q86 35B35 76U65 35B40 35B41 35A01 35A02 42B25 86A05 86A10 26A33 35R11 PDFBibTeX XMLCite \textit{R. Farwig} and \textit{C. Qian}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 5, Paper No. 67, 44 p. (2023; Zbl 1522.35405) Full Text: DOI
Crowe, Matthew N.; Johnson, Edward R. The evolution of surface quasi-geostrophic modons on sloping topography. (English) Zbl 07733821 J. Fluid Mech. 970, Paper No. A10, 23 p. (2023). MSC: 76U60 76U65 76U05 76M45 86A05 PDFBibTeX XMLCite \textit{M. N. Crowe} and \textit{E. R. Johnson}, J. Fluid Mech. 970, Paper No. A10, 23 p. (2023; Zbl 07733821) Full Text: DOI arXiv
Amara, Mustapha Long-time behavior of global solutions of anisotropic quasi-geostrophic equations in Sobolev space. (English) Zbl 1520.35111 Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 166, 16 p. (2023). MSC: 35Q30 35Q31 35Q86 76D05 76N10 86A05 86A10 76U65 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{M. Amara}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 166, 16 p. (2023; Zbl 1520.35111) Full Text: DOI arXiv
Himonas, A. Alexandrou; Yan, Fangchi The Majda-Biello system on the half-line. (English) Zbl 1523.35246 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113293, 50 p. (2023). Reviewer: Igor Leite Freire (São Carlos) MSC: 35Q35 35Q53 35G31 35G16 37K10 35A01 35A02 35B65 76U65 86A10 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{F. Yan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113293, 50 p. (2023; Zbl 1523.35246) Full Text: DOI arXiv
Khorbatly, Bashar Exact traveling wave solutions of a geophysical Boussinesq system. (English) Zbl 1519.35336 Nonlinear Anal., Real World Appl. 71, Article ID 103832, 15 p. (2023). MSC: 35Q86 35Q31 86A05 76B15 76U60 76U65 35C09 35C08 PDFBibTeX XMLCite \textit{B. Khorbatly}, Nonlinear Anal., Real World Appl. 71, Article ID 103832, 15 p. (2023; Zbl 1519.35336) Full Text: DOI
Charve, Frédéric Asymptotics for the rotating fluids and primitive systems with large ill-prepared initial data in critical spaces. (English) Zbl 1515.35204 Tunis. J. Math. 5, No. 1, 171-213 (2023). Reviewer: Lucio Galeati (Lausanne) MSC: 35Q35 35Q86 76D50 76U60 76U65 86A05 35B40 41A25 35R25 PDFBibTeX XMLCite \textit{F. Charve}, Tunis. J. Math. 5, No. 1, 171--213 (2023; Zbl 1515.35204) Full Text: DOI arXiv
Yassin, Houssam The buoyancy staircase limit in surface quasigeostrophic turbulence. (English) Zbl 07682757 J. Fluid Mech. 962, Paper No. A35, 24 p. (2023). MSC: 76U60 76U65 76F25 76F45 86A05 PDFBibTeX XMLCite \textit{H. Yassin}, J. Fluid Mech. 962, Paper No. A35, 24 p. (2023; Zbl 07682757) Full Text: DOI arXiv
Cao, Norman M. Rossby waves past the breaking point in zonally dominated turbulence. (English) Zbl 1528.76093 J. Fluid Mech. 958, Paper No. A28, 23 p. (2023). MSC: 76U65 76U60 76F10 76F65 PDFBibTeX XMLCite \textit{N. M. Cao}, J. Fluid Mech. 958, Paper No. A28, 23 p. (2023; Zbl 1528.76093) Full Text: DOI
Rosenzweig, Matthew; Staffilani, Gigliola Global solutions of aggregation equations and other flows with random diffusion. (English) Zbl 1509.35242 Probab. Theory Relat. Fields 185, No. 3-4, 1219-1262 (2023). MSC: 35Q35 35Q86 35Q92 76R50 76U65 86A05 92C17 35R60 60H50 35B44 35B65 35A01 PDFBibTeX XMLCite \textit{M. Rosenzweig} and \textit{G. Staffilani}, Probab. Theory Relat. Fields 185, No. 3--4, 1219--1262 (2023; Zbl 1509.35242) Full Text: DOI arXiv
Charve, Frédéric Sharper dispersive estimates and asymptotics for a Boussinesq-type system with larger ill-prepared initial data. (English) Zbl 1509.35178 Asymptotic Anal. 131, No. 3-4, 443-470 (2023). MSC: 35Q30 35Q86 76D05 76D50 76U65 86A05 35B40 35B45 35D30 35D35 PDFBibTeX XMLCite \textit{F. Charve}, Asymptotic Anal. 131, No. 3--4, 443--470 (2023; Zbl 1509.35178) Full Text: DOI arXiv
Mu, Pengcheng; Wei, Zhengzhen Rotation-dominant three-scale limit of the Cauchy problem to the inviscid rotating stratified Boussinesq equations. (English) Zbl 1508.35086 J. Differ. Equations 353, 385-419 (2023). MSC: 35Q35 76U65 76D50 76M45 35P15 86A05 PDFBibTeX XMLCite \textit{P. Mu} and \textit{Z. Wei}, J. Differ. Equations 353, 385--419 (2023; Zbl 1508.35086) Full Text: DOI
Capistrano-Filho, Roberto de A.; Gomes, Andressa Global control aspects for long waves in nonlinear dispersive media. (English) Zbl 1508.35116 ESAIM, Control Optim. Calc. Var. 29, Paper No. 7, 47 p. (2023). MSC: 35Q53 35Q35 35L56 93B05 93D15 76U65 PDFBibTeX XMLCite \textit{R. de A. Capistrano-Filho} and \textit{A. Gomes}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 7, 47 p. (2023; Zbl 1508.35116) Full Text: DOI arXiv
Wang, Cong; Zhang, Zongguo; Li, Bo; Yang, Hongwei Rossby waves and dipole blocking of barotropic-baroclinic coherent structures in unequal depth two-layer fluids. (English) Zbl 1524.76508 Phys. Lett., A 457, Article ID 128580, 14 p. (2023). MSC: 76U65 PDFBibTeX XMLCite \textit{C. Wang} et al., Phys. Lett., A 457, Article ID 128580, 14 p. (2023; Zbl 1524.76508) Full Text: DOI
Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi A novel large eddy simulation model for the quasi-geostrophic equations in a finite volume setting. (English) Zbl 1502.65088 J. Comput. Appl. Math. 418, Article ID 114656, 13 p. (2023). MSC: 65M08 65M06 65N08 65M12 86A05 76U60 76U65 76F65 76M12 86-08 35Q35 35Q86 PDFBibTeX XMLCite \textit{M. Girfoglio} et al., J. Comput. Appl. Math. 418, Article ID 114656, 13 p. (2023; Zbl 1502.65088) Full Text: DOI arXiv
Bardos, Claude; Liu, Xin; Titi, Edriss S. Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction. arXiv:2304.08303 Preprint, arXiv:2304.08303 [math.AP] (2023). MSC: 76B15 76B55 76B65 76M45 86A10 BibTeX Cite \textit{C. Bardos} et al., ``Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction'', Preprint, arXiv:2304.08303 [math.AP] (2023) Full Text: arXiv OA License
Wang, Cong; Li, Jingjing; Yang, Hongwei Modulation instability analysis of Rossby waves based on \((2 + 1)\)-dimensional high-order Schrödinger equation. (English) Zbl 1511.35331 Commun. Theor. Phys. 74, No. 7, Article ID 075002, 12 p. (2022). MSC: 35Q55 76E30 76B15 PDFBibTeX XMLCite \textit{C. Wang} et al., Commun. Theor. Phys. 74, No. 7, Article ID 075002, 12 p. (2022; Zbl 1511.35331) Full Text: DOI
Bocchi, Edoardo; Fanelli, Francesco; Prange, Christophe Anisotropy and stratification effects in the dynamics of fast rotating compressible fluids. (English) Zbl 1512.35584 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 3, 647-704 (2022). Reviewer: Luisa Consiglieri (Lisboa) MSC: 35Q86 35Q30 76D50 76E20 76U65 76N10 76M45 35B40 35B65 35A01 35A02 35D35 35D30 35C20 PDFBibTeX XMLCite \textit{E. Bocchi} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 3, 647--704 (2022; Zbl 1512.35584) Full Text: DOI arXiv
Zhang, Zhihui; Chen, Liguo; Zhang, Ruigang; Yang, Liangui; Liu, Quansheng Dynamics of Rossby solitary waves with time-dependent mean flow via Euler eigenvalue model. (English) Zbl 1506.76203 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 10, 1615-1630 (2022). MSC: 76U65 76B25 PDFBibTeX XMLCite \textit{Z. Zhang} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 10, 1615--1630 (2022; Zbl 1506.76203) Full Text: DOI
Lin, Zhiwu; Wei, Dongyi; Zhang, Zhifei; Zhu, Hao The number of traveling wave families in a running water with Coriolis force. (English) Zbl 1505.35293 Arch. Ration. Mech. Anal. 246, No. 2-3, 475-533 (2022). MSC: 35Q31 76U65 76E20 76B25 86A05 35C07 PDFBibTeX XMLCite \textit{Z. Lin} et al., Arch. Ration. Mech. Anal. 246, No. 2--3, 475--533 (2022; Zbl 1505.35293) Full Text: DOI arXiv
Zhang, Ruigang; Liu, Quansheng; Yang, Liangui Semi-analytical and numerical study on equatorial Rossby solitary waves under non-traditional approximation. (English) Zbl 1513.76159 Zeidan, Dia (ed.) et al., Numerical fluid dynamics. Methods and computations. Singapore: Springer. Forum Interdiscip. Math., 69-92 (2022). MSC: 76U65 76M99 PDFBibTeX XMLCite \textit{R. Zhang} et al., in: Numerical fluid dynamics. Methods and computations. Singapore: Springer. 69--92 (2022; Zbl 1513.76159) Full Text: DOI
Kudryavtsev, A. G.; Myagkov, N. N. On exact solutions of the Charney Obukhov equation for the ocean. (English) Zbl 1498.86007 Phys. Lett., A 446, Article ID 128282, 5 p. (2022). MSC: 86A05 76U65 35Q35 35Q86 PDFBibTeX XMLCite \textit{A. G. Kudryavtsev} and \textit{N. N. Myagkov}, Phys. Lett., A 446, Article ID 128282, 5 p. (2022; Zbl 1498.86007) Full Text: DOI
Yu, Di; Zongguo, Zhang; Yang, Hongwei A new nonlinear integral-differential equation describing Rossby waves and its related properties. (English) Zbl 1502.76127 Phys. Lett., A 443, Article ID 128205, 7 p. (2022). MSC: 76U65 76B25 76M45 86A05 PDFBibTeX XMLCite \textit{D. Yu} et al., Phys. Lett., A 443, Article ID 128205, 7 p. (2022; Zbl 1502.76127) Full Text: DOI
Constantin, A.; Germain, P. Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere. (English) Zbl 1500.76033 Arch. Ration. Mech. Anal. 245, No. 1, 587-644 (2022). MSC: 76E20 76U60 76U65 86A10 85A30 85A20 PDFBibTeX XMLCite \textit{A. Constantin} and \textit{P. Germain}, Arch. Ration. Mech. Anal. 245, No. 1, 587--644 (2022; Zbl 1500.76033) Full Text: DOI arXiv
Lahaye, Noé; Zeitlin, Vladimir Coherent magnetic modon solutions in quasi-geostrophic shallow water magnetohydrodynamics. (English) Zbl 1516.76099 J. Fluid Mech. 941, Paper No. A15, 22 p. (2022). MSC: 76W05 76U65 76F65 PDFBibTeX XMLCite \textit{N. Lahaye} and \textit{V. Zeitlin}, J. Fluid Mech. 941, Paper No. A15, 22 p. (2022; Zbl 1516.76099) Full Text: DOI
Cockerill, Madeleine; Bassom, Andrew P.; Willmott, Andrew J. Modelling topographic waves in a polar basin. (English) Zbl 1482.86025 Geophys. Astrophys. Fluid Dyn. 116, No. 1, 1-19 (2022). MSC: 86A10 76U65 76B15 PDFBibTeX XMLCite \textit{M. Cockerill} et al., Geophys. Astrophys. Fluid Dyn. 116, No. 1, 1--19 (2022; Zbl 1482.86025) Full Text: DOI
Sbaiz, Gabriele Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations. (English) Zbl 1514.35337 J. Math. Anal. Appl. 512, No. 1, Article ID 126140, 41 p. (2022). Reviewer: Siran Li (Shanghai) MSC: 35Q31 35Q86 76U65 76B03 86A05 35B25 35B65 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{G. Sbaiz}, J. Math. Anal. Appl. 512, No. 1, Article ID 126140, 41 p. (2022; Zbl 1514.35337) Full Text: DOI arXiv
García, Claudia; Hmidi, Taoufik; Mateu, Joan Time periodic solutions for 3D quasi-geostrophic model. (English) Zbl 1508.35072 Commun. Math. Phys. 390, No. 2, 617-756 (2022). MSC: 35Q35 35Q86 76B03 76U65 76B47 76B70 35B10 35B32 35B65 47A53 86A05 PDFBibTeX XMLCite \textit{C. García} et al., Commun. Math. Phys. 390, No. 2, 617--756 (2022; Zbl 1508.35072) Full Text: DOI arXiv
Bourne, David P.; Egan, Charlie P.; Pelloni, Beatrice; Wilkinson, Mark Semi-discrete optimal transport methods for the semi-geostrophic equations. (English) Zbl 1509.35318 Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 39, 34 p. (2022). MSC: 35Q86 35Q49 86A10 76U65 76D05 35A01 35A35 35D30 35B65 35A24 65L06 65M12 65K10 52C22 49Q22 PDFBibTeX XMLCite \textit{D. P. Bourne} et al., Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 39, 34 p. (2022; Zbl 1509.35318) Full Text: DOI arXiv
Kudryavtsev, A. G.; Myagkov, N. N. New solutions for the (3 + 1)-dimensional Charney-Obukhov equation. (English) Zbl 1485.81027 Phys. Lett., A 427, Article ID 127901, 4 p. (2022). MSC: 81Q05 35Q55 35C07 76M23 81V80 PDFBibTeX XMLCite \textit{A. G. Kudryavtsev} and \textit{N. N. Myagkov}, Phys. Lett., A 427, Article ID 127901, 4 p. (2022; Zbl 1485.81027) Full Text: DOI
Mu, Pengcheng; Schochet, Steve Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit. (English. French summary) Zbl 1481.35342 J. Math. Pures Appl. (9) 158, 90-119 (2022). MSC: 35Q35 76D50 76U05 76U65 76M45 35B40 35A01 PDFBibTeX XMLCite \textit{P. Mu} and \textit{S. Schochet}, J. Math. Pures Appl. (9) 158, 90--119 (2022; Zbl 1481.35342) Full Text: DOI
Yu, Zheyuan; Zhang, Zongguo; Yang, Hongwei \((2+1)\)-dimensional coupled Boussinesq equations for Rossby waves in two-layer cylindrical fluid. (English) Zbl 1514.35400 Commun. Theor. Phys. 73, No. 11, Article ID 115005, 12 p. (2021). MSC: 35Q53 35Q51 35B06 76M60 PDFBibTeX XMLCite \textit{Z. Yu} et al., Commun. Theor. Phys. 73, No. 11, Article ID 115005, 12 p. (2021; Zbl 1514.35400) Full Text: DOI
Zhang, Han-Song; Wang, Lei; Sun, Wen-Rong; Wang, Xin; Xu, Tao Mechanisms of stationary converted waves and their complexes in the multi-component AB system. (English) Zbl 1508.35098 Physica D 419, Article ID 132849, 20 p. (2021). MSC: 35Q35 35Q51 35C08 76B25 76U65 35B20 35B10 86A05 PDFBibTeX XMLCite \textit{H.-S. Zhang} et al., Physica D 419, Article ID 132849, 20 p. (2021; Zbl 1508.35098) Full Text: DOI
Fanelli, Francesco Incompressible and fast rotation limit for barotropic Navier-Stokes equations at large Mach numbers. (English) Zbl 1510.35207 Physica D 428, Article ID 133049, 20 p. (2021). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35Q86 35Q79 76D05 76U65 76N06 86A05 35D30 35K05 35A02 PDFBibTeX XMLCite \textit{F. Fanelli}, Physica D 428, Article ID 133049, 20 p. (2021; Zbl 1510.35207) Full Text: DOI arXiv
Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S. Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number. (English) Zbl 1502.35106 J. Evol. Equ. 21, No. 3, 2923-2954 (2021). MSC: 35Q35 76R05 76U05 76U65 35D30 35D35 35A01 35A02 35K55 34A34 PDFBibTeX XMLCite \textit{C. Cao} et al., J. Evol. Equ. 21, No. 3, 2923--2954 (2021; Zbl 1502.35106) Full Text: DOI arXiv
Chen, Qingshan; Ju, Lili; Temam, Roger Conservative numerical schemes with optimal dispersive wave relations: part I. Derivation and analysis. (English) Zbl 1477.35273 Numer. Math. 149, No. 1, 43-85 (2021). MSC: 35Q86 35Q35 76B47 76U60 76U65 86A05 65M08 65P10 86-08 PDFBibTeX XMLCite \textit{Q. Chen} et al., Numer. Math. 149, No. 1, 43--85 (2021; Zbl 1477.35273) Full Text: DOI arXiv
Benn, J. Conjugate points in \(\mathcal{D}_\mu^s(S^2)\). (English) Zbl 1491.35327 J. Geom. Phys. 170, Article ID 104369, 14 p. (2021). MSC: 35Q31 76U65 76M60 86A10 37C55 PDFBibTeX XMLCite \textit{J. Benn}, J. Geom. Phys. 170, Article ID 104369, 14 p. (2021; Zbl 1491.35327) Full Text: DOI
Yang, YuYing; Song, Jian On the generalized eigenvalue problem of Rossby waves vertical velocity under the condition of zonal mean flow and topography. (English) Zbl 1471.86005 Appl. Math. Lett. 121, Article ID 107485, 6 p. (2021). MSC: 86A10 76U65 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{J. Song}, Appl. Math. Lett. 121, Article ID 107485, 6 p. (2021; Zbl 1471.86005) Full Text: DOI
Mu, Pengcheng; Ju, Qiangchang Three-scale singular limits of the rotating stratified Boussinesq equations. (English) Zbl 1479.35690 Appl. Anal. 100, No. 11, 2405-2417 (2021). MSC: 35Q35 35Q31 76U05 76U65 76B70 76M45 86A05 86A10 PDFBibTeX XMLCite \textit{P. Mu} and \textit{Q. Ju}, Appl. Anal. 100, No. 11, 2405--2417 (2021; Zbl 1479.35690) Full Text: DOI
Vanneste, Jacques Coastal imbalance: generation of oceanic Kelvin waves by atmospheric perturbations. (English) Zbl 1500.76106 J. Fluid Mech. 926, Paper No. R4, 10 p. (2021). MSC: 76U60 76U05 76B15 76M45 86A05 86A10 PDFBibTeX XMLCite \textit{J. Vanneste}, J. Fluid Mech. 926, Paper No. R4, 10 p. (2021; Zbl 1500.76106) Full Text: DOI arXiv
Yassin, Houssam Normal modes with boundary dynamics in geophysical fluids. (English) Zbl 1495.86005 J. Math. Phys. 62, No. 9, Article ID 093102, 22 p. (2021). MSC: 86A05 34B24 76U65 PDFBibTeX XMLCite \textit{H. Yassin}, J. Math. Phys. 62, No. 9, Article ID 093102, 22 p. (2021; Zbl 1495.86005) Full Text: DOI arXiv
Chen, Liguo; Gao, Feifei; Li, Linlin; Yang, Liangui fmKdV equation for solitary Rossby waves and its analytical solution. (English) Zbl 1488.35475 Math. Appl. 34, No. 3, 566-573 (2021). MSC: 35Q53 76U65 PDFBibTeX XMLCite \textit{L. Chen} et al., Math. Appl. 34, No. 3, 566--573 (2021; Zbl 1488.35475)
Zavala Sansón, Luis; Gonzalez, Jeasson F. Travelling vortices over mountains and the long-term structure of the residual flow. (English) Zbl 1493.76118 J. Fluid Mech. 922, Paper No. A33, 25 p. (2021). MSC: 76U60 76U05 76U65 76M20 86A05 PDFBibTeX XMLCite \textit{L. Zavala Sansón} and \textit{J. F. Gonzalez}, J. Fluid Mech. 922, Paper No. A33, 25 p. (2021; Zbl 1493.76118) Full Text: DOI
Goldsmith, E. J.; Esler, J. G. Wave propagation in rotating shallow water in the presence of small-scale topography. (English) Zbl 1491.76090 J. Fluid Mech. 923, Paper No. A24, 35 p. (2021). MSC: 76U65 76U60 76B15 76M50 86A05 PDFBibTeX XMLCite \textit{E. J. Goldsmith} and \textit{J. G. Esler}, J. Fluid Mech. 923, Paper No. A24, 35 p. (2021; Zbl 1491.76090) Full Text: DOI Link
Fu, Lei; Zhang, Heng; He, Hailun; Dong, Huanhe; Yang, Hongwei Effect of nonlinearity on interaction between the vortices in the f-plane shallow water system. (English) Zbl 1476.35281 Z. Angew. Math. Phys. 72, No. 4, Paper No. 144, 18 p. (2021). MSC: 35Q86 35Q35 35Q51 35B40 35C08 76B47 76U60 76U65 86A05 35R35 65H10 65M70 65N30 PDFBibTeX XMLCite \textit{L. Fu} et al., Z. Angew. Math. Phys. 72, No. 4, Paper No. 144, 18 p. (2021; Zbl 1476.35281) Full Text: DOI
Kaladze, T. D.; Özcan, O.; Yeşil, A.; Tsamalashvili, L. V.; Kaladze, D. T.; Inc, M.; Sağir, S.; Kurt, K. Shear flow-driven magnetized Rossby wave dynamics in the Earth’s ionosphere. (English) Zbl 1468.76076 Z. Angew. Math. Phys. 72, No. 3, Paper No. 130, 17 p. (2021). MSC: 76U65 76X05 76U60 76E20 86A10 PDFBibTeX XMLCite \textit{T. D. Kaladze} et al., Z. Angew. Math. Phys. 72, No. 3, Paper No. 130, 17 p. (2021; Zbl 1468.76076) Full Text: DOI
Kravtsov, Sergey; Reznik, Gregory Monopoles in a uniform zonal flow on a quasi-geostrophic \(\beta\)-plane: effects of the Galilean non-invariance of the rotating shallow-water equations. (English) Zbl 1489.76058 J. Fluid Mech. 909, Paper No. A23, 28 p. (2021). MSC: 76U60 76U65 86A05 PDFBibTeX XMLCite \textit{S. Kravtsov} and \textit{G. Reznik}, J. Fluid Mech. 909, Paper No. A23, 28 p. (2021; Zbl 1489.76058) Full Text: DOI
Graef, Federico; García, Rigoberto F. Resonant interactions between Rossby modes in a straight coast and a channel. (English) Zbl 1492.76141 J. Fluid Mech. 918, Paper No. A34, 38 p. (2021). MSC: 76U65 76U60 86A05 PDFBibTeX XMLCite \textit{F. Graef} and \textit{R. F. García}, J. Fluid Mech. 918, Paper No. A34, 38 p. (2021; Zbl 1492.76141) Full Text: DOI
Cobb, Dimitri; Fanelli, Francesco Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system. (English) Zbl 1464.35216 Nonlinear Anal., Real World Appl. 60, Article ID 103284, 36 p. (2021). MSC: 35Q35 76W05 76U65 35B65 35B25 35A01 35A02 PDFBibTeX XMLCite \textit{D. Cobb} and \textit{F. Fanelli}, Nonlinear Anal., Real World Appl. 60, Article ID 103284, 36 p. (2021; Zbl 1464.35216) Full Text: DOI arXiv
Johnson, Edward R.; Crowe, Matthew N. The decay of a dipolar vortex in a weakly dispersive environment. (English) Zbl 1485.76080 J. Fluid Mech. 917, Paper No. A35, 18 p. (2021). MSC: 76U60 76U65 76B47 86A10 PDFBibTeX XMLCite \textit{E. R. Johnson} and \textit{M. N. Crowe}, J. Fluid Mech. 917, Paper No. A35, 18 p. (2021; Zbl 1485.76080) Full Text: DOI Link
Mu, Pengcheng Singular limits of the Cauchy problem to the two-layer rotating shallow water equations. (English) Zbl 1464.35248 J. Differ. Equations 289, 59-94 (2021). MSC: 35Q35 76M45 76U65 76D05 35D35 PDFBibTeX XMLCite \textit{P. Mu}, J. Differ. Equations 289, 59--94 (2021; Zbl 1464.35248) Full Text: DOI
Cobb, Dimitri; Fanelli, Francesco On the fast rotation asymptotics of a non-homogeneous incompressible MHD system. (English) Zbl 1464.35215 Nonlinearity 34, No. 4, 2483-2526 (2021). MSC: 35Q35 35B25 76U05 35B40 76W05 76U65 PDFBibTeX XMLCite \textit{D. Cobb} and \textit{F. Fanelli}, Nonlinearity 34, No. 4, 2483--2526 (2021; Zbl 1464.35215) Full Text: DOI arXiv
Lemasquerier, Daphné; Favier, B.; Le Bars, M. Zonal jets at the laboratory scale: hysteresis and Rossby waves resonance. (English) Zbl 1461.76539 J. Fluid Mech. 910, Paper No. A18, 43 p. (2021). MSC: 76U65 76U60 PDFBibTeX XMLCite \textit{D. Lemasquerier} et al., J. Fluid Mech. 910, Paper No. A18, 43 p. (2021; Zbl 1461.76539) Full Text: DOI arXiv
Stepanyants, Y. A.; Sturova, I. V. Rossby waves in the ocean covered by compressed ice. (English) Zbl 1482.76025 Geophys. Astrophys. Fluid Dyn. 114, No. 3, 306-316 (2020). MSC: 76B15 86A40 PDFBibTeX XMLCite \textit{Y. A. Stepanyants} and \textit{I. V. Sturova}, Geophys. Astrophys. Fluid Dyn. 114, No. 3, 306--316 (2020; Zbl 1482.76025) Full Text: DOI
Novack, Matthew D.; Vasseur, Alexis F. Classical solutions for the 3D quasi-geostrophic system on a bounded domain. (English) Zbl 1507.35157 Physica D 404, Article ID 132362, 8 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 35Q86 35J47 76B03 76U60 76U65 86A05 86A10 35A01 35A09 PDFBibTeX XMLCite \textit{M. D. Novack} and \textit{A. F. Vasseur}, Physica D 404, Article ID 132362, 8 p. (2020; Zbl 1507.35157) Full Text: DOI arXiv
Khater, Mostafa M. A.; Baleanu, Dumitru On abundant new solutions of two fractional complex models. (English) Zbl 1482.35252 Adv. Difference Equ. 2020, Paper No. 268, 14 p. (2020). MSC: 35R11 35Q53 26A33 35C08 76U65 PDFBibTeX XMLCite \textit{M. M. A. Khater} and \textit{D. Baleanu}, Adv. Difference Equ. 2020, Paper No. 268, 14 p. (2020; Zbl 1482.35252) Full Text: DOI
Raphaldini, Breno; Raupp, Carlos F. M. Nonlinear MHD Rossby wave interactions and persistent geomagnetic field structures. (English) Zbl 1472.86019 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200174, 20 p. (2020). MSC: 86A25 76W05 PDFBibTeX XMLCite \textit{B. Raphaldini} and \textit{C. F. M. Raupp}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200174, 20 p. (2020; Zbl 1472.86019) Full Text: DOI Link
Buckmaster, Tristan; Nahmod, Andrea; Staffilani, Gigliola; Widmayer, Klaus The surface quasi-geostrophic equation with random diffusion. (English) Zbl 1473.35577 Int. Math. Res. Not. 2020, No. 23, 9370-9385 (2020). MSC: 35Q86 35Q35 76U60 76U65 60H15 60H50 60H40 35R60 35B65 35A01 35A02 58J65 PDFBibTeX XMLCite \textit{T. Buckmaster} et al., Int. Math. Res. Not. 2020, No. 23, 9370--9385 (2020; Zbl 1473.35577) Full Text: DOI arXiv Link
Wang, Jie; Zhang, Ruigang; Yang, Liangui A Gardner evolution equation for topographic Rossby waves and its mechanical analysis. (English) Zbl 1508.76025 Appl. Math. Comput. 385, Article ID 125426, 10 p. (2020). MSC: 76B25 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Math. Comput. 385, Article ID 125426, 10 p. (2020; Zbl 1508.76025) Full Text: DOI
Zhou, Lansuo; Luan, Jinfeng; Yin, Xiaojun; Na, Renmandula Inhomogeneous mKdV-Burgers equation under with complete Coriolis force and weak topography. (English) Zbl 1463.35453 J. Math., Wuhan Univ. 40, No. 4, 473-480 (2020). MSC: 35Q53 76B47 86A10 PDFBibTeX XMLCite \textit{L. Zhou} et al., J. Math., Wuhan Univ. 40, No. 4, 473--480 (2020; Zbl 1463.35453) Full Text: DOI
Chen, Li-Guo; Yang, Lian-Gui; Zhang, Rui-Gang; Liu, Quan-Sheng; Cui, Ji-Feng A \((2+1)\)-dimensional nonlinear model for Rossby waves in stratified fluids and its solitary solution. (English) Zbl 1451.76143 Commun. Theor. Phys. 72, No. 4, Article ID 045004, 8 p. (2020). MSC: 76U65 35C08 35Q51 35Q53 PDFBibTeX XMLCite \textit{L.-G. Chen} et al., Commun. Theor. Phys. 72, No. 4, Article ID 045004, 8 p. (2020; Zbl 1451.76143) Full Text: DOI
Nečasová, Šárka; Tang, Tong On a singular limit for the compressible rotating Euler system. (English) Zbl 1448.35368 J. Math. Fluid Mech. 22, No. 3, Paper No. 43, 14 p. (2020). MSC: 35Q30 35Q86 76N06 76U60 76U65 76Q05 86A05 PDFBibTeX XMLCite \textit{Š. Nečasová} and \textit{T. Tang}, J. Math. Fluid Mech. 22, No. 3, Paper No. 43, 14 p. (2020; Zbl 1448.35368) Full Text: DOI arXiv
Esen, Oğul; Han, Daozhi; Şengül, Taylan; Wang, Quan On the nonlinear stability and the existence of selective decay states of 3D quasi-geostrophic potential vorticity equation. (English) Zbl 1479.76041 Math. Methods Appl. Sci. 43, No. 2, 822-846 (2020). MSC: 76E20 76E30 76U65 86A10 PDFBibTeX XMLCite \textit{O. Esen} et al., Math. Methods Appl. Sci. 43, No. 2, 822--846 (2020; Zbl 1479.76041) Full Text: DOI
Kuehl, Joseph; McMahon, Charles An analytic solution for bottom intensified flow along sloping topography. (English) Zbl 1473.76073 Eur. J. Mech., B, Fluids 82, 156-160 (2020). MSC: 76U60 76U65 76M55 86A05 PDFBibTeX XMLCite \textit{J. Kuehl} and \textit{C. McMahon}, Eur. J. Mech., B, Fluids 82, 156--160 (2020; Zbl 1473.76073) Full Text: DOI
Brons, Jonathan A.; Thomas, P. J.; Pothérat, A. Transition between advection and inertial wave propagation in rotating turbulence. (English) Zbl 1460.76430 J. Fluid Mech. 886, A22, 21 p. (2020). MSC: 76F35 76U65 PDFBibTeX XMLCite \textit{J. A. Brons} et al., J. Fluid Mech. 886, A22, 21 p. (2020; Zbl 1460.76430) Full Text: DOI arXiv
Haigh, Michael; Berloff, Pavel Rossby waves and zonal momentum redistribution induced by localised forcing in the rotating shallow-water model. (English) Zbl 1460.76913 J. Fluid Mech. 885, Paper No. A43, 26 p. (2020). MSC: 76U65 86A05 PDFBibTeX XMLCite \textit{M. Haigh} and \textit{P. Berloff}, J. Fluid Mech. 885, Paper No. A43, 26 p. (2020; Zbl 1460.76913) Full Text: DOI
Walsh, Shane G.; Bustamante, Miguel D. On the convergence of the normal form transformation in discrete Rossby and drift wave turbulence. (English) Zbl 1460.76914 J. Fluid Mech. 884, Paper No. A28, 23 p. (2020). MSC: 76U65 PDFBibTeX XMLCite \textit{S. G. Walsh} and \textit{M. D. Bustamante}, J. Fluid Mech. 884, Paper No. A28, 23 p. (2020; Zbl 1460.76914) Full Text: DOI arXiv
Kaladze, T.; Tsamalashvili, L.; Kaladze, D.; Özcan, O.; Yeşil, A.; Inç, M. Modified KdV equation for magnetized Rossby waves in a zonal flow of the ionospheric E-layer. (English) Zbl 1481.76276 Phys. Lett., A 383, No. 32, Article ID 125888, 3 p. (2019). MSC: 76U65 76W05 86A10 PDFBibTeX XMLCite \textit{T. Kaladze} et al., Phys. Lett., A 383, No. 32, Article ID 125888, 3 p. (2019; Zbl 1481.76276) Full Text: DOI
Liu, Quansheng; Zhang, Ruigang; Yang, Liangui; Song, Jian A new model equation for nonlinear Rossby waves and some of its solutions. (English) Zbl 1486.76107 Phys. Lett., A 383, No. 6, 514-525 (2019). MSC: 76U65 76B15 76M45 PDFBibTeX XMLCite \textit{Q. Liu} et al., Phys. Lett., A 383, No. 6, 514--525 (2019; Zbl 1486.76107) Full Text: DOI
Hayat, Umar; Amanullah, Shahid; Walsh, Shane; Abdullah, Mamoon; Bustamante, Miguel D. Discrete resonant Rossby/drift wave triads: explicit parameterisations and a fast direct numerical search algorithm. (English) Zbl 1457.76186 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104896, 19 p. (2019). MSC: 76U65 76M99 PDFBibTeX XMLCite \textit{U. Hayat} et al., Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104896, 19 p. (2019; Zbl 1457.76186) Full Text: DOI arXiv
Yin, Xiaojun; Yang, Liangui; Liu, Quansheng; Wu, Guorong \((2+1)\)-dimensional ZK-Burgers equation with the generalized beta effect and its exact solitary solution. (English) Zbl 1442.76135 Comput. Math. Appl. 77, No. 1, 302-310 (2019). MSC: 76U65 35C08 35Q53 35Q86 86A05 PDFBibTeX XMLCite \textit{X. Yin} et al., Comput. Math. Appl. 77, No. 1, 302--310 (2019; Zbl 1442.76135) Full Text: DOI
Kureš, Miroslav Number theoretical views on resonant Rossby wave triads: graphs with vertices on quartics. (English) Zbl 1440.76013 Nonlinear Phenom. Complex Syst., Minsk 22, No. 3, 285-291 (2019). MSC: 76B15 11Z05 11D25 PDFBibTeX XMLCite \textit{M. Kureš}, Nonlinear Phenom. Complex Syst., Minsk 22, No. 3, 285--291 (2019; Zbl 1440.76013)
Zhang, Ruigang; Yang, Liangui; Liu, Quansheng; Yin, Xiaojun Dynamics of nonlinear Rossby waves in zonally varying flow with spatial-temporal varying topography. (English) Zbl 1428.76224 Appl. Math. Comput. 346, 666-679 (2019). MSC: 76U65 35C08 76M99 35Q53 PDFBibTeX XMLCite \textit{R. Zhang} et al., Appl. Math. Comput. 346, 666--679 (2019; Zbl 1428.76224) Full Text: DOI
Burgess, B. H.; Dritschel, D. G. Long frontal waves and dynamic scaling in freely evolving equivalent barotropic flow. (English) Zbl 1415.76116 J. Fluid Mech. 866, Paper No. R3, 12 p. (2019). MSC: 76B65 76B47 PDFBibTeX XMLCite \textit{B. H. Burgess} and \textit{D. G. Dritschel}, J. Fluid Mech. 866, Paper No. R3, 12 p. (2019; Zbl 1415.76116) Full Text: DOI Link
Viúdez, A. Exact solutions of asymmetric baroclinic quasi-geostrophic dipoles with distributed potential vorticity. (English) Zbl 1415.86024 J. Fluid Mech. 868, Paper No. R1, 13 p. (2019). MSC: 86A05 86A10 76B65 76B47 76U05 PDFBibTeX XMLCite \textit{A. Viúdez}, J. Fluid Mech. 868, Paper No. R1, 13 p. (2019; Zbl 1415.86024) Full Text: DOI Link
Roberts, Paul Book review of: D. E. Loper, Geophysical waves and flows. Theory and applications in the atmosphere, hydrosphere and geosphere. (English) Zbl 1483.00015 Geophys. Astrophys. Fluid Dyn. 112, No. 3, 235-236 (2018). MSC: 00A17 86-02 86A05 86A10 86A99 76A10 76U05 76U65 76D17 76D33 76B70 PDFBibTeX XMLCite \textit{P. Roberts}, Geophys. Astrophys. Fluid Dyn. 112, No. 3, 235--236 (2018; Zbl 1483.00015) Full Text: DOI
Wang, Danni; Yang, Hongli; Yang, Liangui Derivation of a higher order nonlinear Schrödinger equation with complete Coriolis force. (Chinese. English summary) Zbl 1438.35400 Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 5, 883-892 (2018). MSC: 35Q55 76B47 PDFBibTeX XMLCite \textit{D. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 5, 883--892 (2018; Zbl 1438.35400)
Lu, Changna; Fu, Chen; Yang, Hongwei Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions. (English) Zbl 1426.76721 Appl. Math. Comput. 327, 104-116 (2018). MSC: 76U65 35Q53 35C08 35Q35 35Q86 35R11 86A05 86A10 PDFBibTeX XMLCite \textit{C. Lu} et al., Appl. Math. Comput. 327, 104--116 (2018; Zbl 1426.76721) Full Text: DOI
Zhai, X. M.; Kurien, Susan Characteristic length scales of strongly rotating Boussinesq flow in variable-aspect-ratio domains. (English) Zbl 1415.76117 J. Fluid Mech. 856, 397-425 (2018). MSC: 76B65 76U05 76F45 PDFBibTeX XMLCite \textit{X. M. Zhai} and \textit{S. Kurien}, J. Fluid Mech. 856, 397--425 (2018; Zbl 1415.76117) Full Text: DOI
Charve, Frédéric Global well-posedness and asymptotics for a penalized Boussinesq-type system without dispersion. (English) Zbl 1404.35447 Commun. Math. Sci. 16, No. 3, 791-807 (2018). MSC: 35Q86 35B45 35A01 76D03 76U05 76B65 86A05 PDFBibTeX XMLCite \textit{F. Charve}, Commun. Math. Sci. 16, No. 3, 791--807 (2018; Zbl 1404.35447) Full Text: DOI arXiv
Skiba, Yuri N. On Liapunov and exponential stability of Rossby-Haurwitz waves in invariant sets of perturbations. (English) Zbl 1443.76240 J. Math. Fluid Mech. 20, No. 3, 1137-1154 (2018). MSC: 76U65 33C90 PDFBibTeX XMLCite \textit{Y. N. Skiba}, J. Math. Fluid Mech. 20, No. 3, 1137--1154 (2018; Zbl 1443.76240) Full Text: DOI
Yang, Hong Wei; Chen, Xin; Guo, Min; Chen, Yao Deng A new ZK-BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property. (English) Zbl 1390.76044 Nonlinear Dyn. 91, No. 3, 2019-2032 (2018). MSC: 76B25 35C08 37K10 PDFBibTeX XMLCite \textit{H. W. Yang} et al., Nonlinear Dyn. 91, No. 3, 2019--2032 (2018; Zbl 1390.76044) Full Text: DOI
Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária Well-balanced schemes for the shallow water equations with Coriolis forces. (English) Zbl 1448.65097 Numer. Math. 138, No. 4, 939-973 (2018). MSC: 65M06 65N08 35L45 35L65 65M25 65M15 76B15 76U60 76U65 35Q86 86A05 65J10 PDFBibTeX XMLCite \textit{A. Chertock} et al., Numer. Math. 138, No. 4, 939--973 (2018; Zbl 1448.65097) Full Text: DOI
Scrobogna, Stefano Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity. (English) Zbl 1387.35469 Rev. Mat. Iberoam. 34, No. 1, 1-58 (2018). MSC: 35Q30 76U05 76B60 35Q86 86A10 76B65 PDFBibTeX XMLCite \textit{S. Scrobogna}, Rev. Mat. Iberoam. 34, No. 1, 1--58 (2018; Zbl 1387.35469) Full Text: DOI arXiv
Ivers, David Enumeration, orthogonality and completeness of the incompressible Coriolis modes in a tri-axial ellipsoid. (English) Zbl 1506.76202 Geophys. Astrophys. Fluid Dyn. 111, No. 5, 333-354 (2017). MSC: 76U65 35Q35 PDFBibTeX XMLCite \textit{D. Ivers}, Geophys. Astrophys. Fluid Dyn. 111, No. 5, 333--354 (2017; Zbl 1506.76202) Full Text: DOI
Kloosterziel, R. C.; Maas, L. R. M. Green’s functions for Rossby waves. (English) Zbl 1421.76052 J. Fluid Mech. 830, 387-407 (2017). MSC: 76B65 76U05 PDFBibTeX XMLCite \textit{R. C. Kloosterziel} and \textit{L. R. M. Maas}, J. Fluid Mech. 830, 387--407 (2017; Zbl 1421.76052) Full Text: DOI Link
Chen, Xin; Yang, Hongwei; Guo, Min; Yin, Baoshu (2 + 1)-dimensional coupled model for envelope Rossby solitary waves and its solutions as well as chirp effect. (English) Zbl 1426.35200 Math. Probl. Eng. 2017, Article ID 1378740, 12 p. (2017). MSC: 35Q53 37K10 35Q51 76U65 PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Probl. Eng. 2017, Article ID 1378740, 12 p. (2017; Zbl 1426.35200) Full Text: DOI
Wu, Guorong; Yin, Xiaojun The nonlinear ZK equation with a complete Coriolis force. (Chinese. English summary) Zbl 1399.35302 J. Inn. Mong. Norm. Univ., Nat. Sci. 46, No. 5, 625-628 (2017). MSC: 35Q35 76B65 PDFBibTeX XMLCite \textit{G. Wu} and \textit{X. Yin}, J. Inn. Mong. Norm. Univ., Nat. Sci. 46, No. 5, 625--628 (2017; Zbl 1399.35302)
Juha, Mario J.; Zhang, Jie; Tejada-Martínez, Andrés E. Large scale structures in LES of an oscillating open channel flow under the influence of surface cooling. (English) Zbl 1390.76173 Comput. Fluids 158, 96-106 (2017). MSC: 76F65 76B65 PDFBibTeX XMLCite \textit{M. J. Juha} et al., Comput. Fluids 158, 96--106 (2017; Zbl 1390.76173) Full Text: DOI
Zhao, Bao-Jun; Wang, Ru-Yun; Fang, Qing; Sun, Wen-Jin; Zhan, Tian-Ming Rossby solitary waves excited by the unstable topography in weak shear flow. (English) Zbl 1391.76083 Nonlinear Dyn. 90, No. 2, 889-897 (2017). MSC: 76B25 35C08 37K10 35Q53 PDFBibTeX XMLCite \textit{B.-J. Zhao} et al., Nonlinear Dyn. 90, No. 2, 889--897 (2017; Zbl 1391.76083) Full Text: DOI
Song, Jian; Liu, Quansheng; Cen, Ruiting; Yang, Liangui Rossby waves with the change of \(\beta \) and the influence of topography in a two-layer fluid. (English) Zbl 1399.76017 J. Math., Wuhan Univ. 37, No. 4, 751-760 (2017). MSC: 76B65 86A10 PDFBibTeX XMLCite \textit{J. Song} et al., J. Math., Wuhan Univ. 37, No. 4, 751--760 (2017; Zbl 1399.76017) Full Text: DOI
Lucas, Carine; McWilliams, James C.; Rousseau, Antoine Large scale ocean models beyond the traditional approximation. (English. French summary) Zbl 1390.35276 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 4, 1029-1049 (2017). MSC: 35Q35 76D05 35Q86 76B15 76U05 76B65 35L20 86A10 PDFBibTeX XMLCite \textit{C. Lucas} et al., Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 4, 1029--1049 (2017; Zbl 1390.35276) Full Text: DOI
Carton, Xavier; Morvan, Mathieu; Reinaud, Jean N.; Sokolovskiy, Mikhail A.; L’Hegaret, Pierre; Vic, Clément Vortex merger near a topographic slope in a homogeneous rotating fluid. (English) Zbl 1387.86008 Regul. Chaotic Dyn. 22, No. 5, 455-478 (2017). MSC: 86A05 76B47 76E30 76B65 PDFBibTeX XMLCite \textit{X. Carton} et al., Regul. Chaotic Dyn. 22, No. 5, 455--478 (2017; Zbl 1387.86008) Full Text: DOI
Yin, Xiaojun; Yang, Liangui; Zhang, Ruigang; Liu, Quansheng; Yang, Hongli The nonlinear Rossby wave with a complete Coriolis force. (Chinese. English summary) Zbl 1389.76010 Math. Appl. 30, No. 3, 607-612 (2017). MSC: 76B65 86A10 35C08 35Q53 PDFBibTeX XMLCite \textit{X. Yin} et al., Math. Appl. 30, No. 3, 607--612 (2017; Zbl 1389.76010)
Zhao, Bo; Yang, Liangui; Song, Jian Rossby waves under the influence of the vertical shear of basic flow beta effect forcing dissipation and topographic effect in the rotational stratified fluid. (Chinese. English summary) Zbl 1389.76011 Math. Appl. 30, No. 2, 424-433 (2017). MSC: 76B65 76E30 PDFBibTeX XMLCite \textit{B. Zhao} et al., Math. Appl. 30, No. 2, 424--433 (2017; Zbl 1389.76011)