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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
Zhang, Ruigang; Liu, Quansheng; Yang, Liangui; Song, Jian Nonlinear planetary-synoptic wave interaction under generalized beta effect and its solutions. (English) Zbl 1448.86010 Chaos Solitons Fractals 122, 270-280 (2019). MSC: 86A10 35Q86 35Q55 35C08 35C10 PDFBibTeX XMLCite \textit{R. Zhang} et al., Chaos Solitons Fractals 122, 270--280 (2019; Zbl 1448.86010) Full Text: DOI
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
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
Yin, Xiaojun; Yang, Liangui; Yang, Hongli; Zhang, Ruigang; Su, Jinmei Nonlinear Schrödinger equation for envelope Rossby waves with complete Coriolis force and its solution. (English) Zbl 1449.35399 Comput. Appl. Math. 38, No. 2, Paper No. 51, 14 p. (2019). MSC: 35Q55 35C20 35C08 PDFBibTeX XMLCite \textit{X. Yin} et al., Comput. Appl. Math. 38, No. 2, Paper No. 51, 14 p. (2019; Zbl 1449.35399) Full Text: DOI
Ren, Yanwei; Tao, Mengshuang; Dong, Huanhe; Yang, Hongwei Analytical research of (\(3+1\))-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach. (English) Zbl 1458.35353 Adv. Difference Equ. 2019, Paper No. 13, 9 p. (2019). MSC: 35Q35 35C07 35B06 PDFBibTeX XMLCite \textit{Y. Ren} et al., Adv. Difference Equ. 2019, Paper No. 13, 9 p. (2019; Zbl 1458.35353) 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
Yin, Xiaojun; Yang, Liangui; Liu, Quansheng; Zhang, Ruiguang The nonlinear \( (2 + 1)\)-dimensional Zakharov-Kuznetsov equation and its solitary solution. (Chinese. English summary) Zbl 1424.35295 J. Yunnan Univ., Nat. Sci. 40, No. 4, 619-624 (2018). MSC: 35Q51 35C07 35C08 PDFBibTeX XMLCite \textit{X. Yin} et al., J. Yunnan Univ., Nat. Sci. 40, No. 4, 619--624 (2018; Zbl 1424.35295)
Zhao, Bao Jun; Wang, Ru Yun; Sun, Wen Jin; Yang, Hong Wei Combined ZK-mzk equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions. (English) Zbl 1445.35280 Adv. Difference Equ. 2018, Paper No. 42, 16 p. (2018). MSC: 35Q51 35C08 37K40 37K45 PDFBibTeX XMLCite \textit{B. J. Zhao} et al., Adv. Difference Equ. 2018, Paper No. 42, 16 p. (2018; Zbl 1445.35280) 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
Yin, Xiao-Jun; Yang, Lian-Gui; Liu, Quan-Sheng; Su, Jin-Mei; Wu, Guo-rong Structure of equatorial envelope Rossby solitary waves with complete Coriolis force and the external source. (English) Zbl 1392.86035 Chaos Solitons Fractals 111, 68-74 (2018). MSC: 86A10 35Q55 35Q86 35C05 PDFBibTeX XMLCite \textit{X.-J. Yin} et al., Chaos Solitons Fractals 111, 68--74 (2018; Zbl 1392.86035) 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
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)
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
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
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)
Zhang, Ruigang; Yang, Liangui; Song, Jian; Yang, Hongli \((2+1)\) dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method. (English) Zbl 1371.86021 Comput. Math. Appl. 73, No. 9, 1996-2003 (2017). MSC: 86A10 35Q86 35Q53 PDFBibTeX XMLCite \textit{R. Zhang} et al., Comput. Math. Appl. 73, No. 9, 1996--2003 (2017; Zbl 1371.86021) Full Text: DOI
Kopp, Gene S. The arithmetic geometry of resonant Rossby wave triads. (English) Zbl 1374.14021 SIAM J. Appl. Algebra Geom. 1, No. 1, 352-373 (2017). MSC: 14G05 11D41 76B65 86A10 11D45 11G05 11G35 14M20 35Q35 14G40 14J27 PDFBibTeX XMLCite \textit{G. S. Kopp}, SIAM J. Appl. Algebra Geom. 1, No. 1, 352--373 (2017; Zbl 1374.14021) Full Text: DOI arXiv
Lucas, Carine; McWilliams, James C.; Rousseau, Antoine On nontraditional quasi-geostrophic equations. (English) Zbl 1364.35280 ESAIM, Math. Model. Numer. Anal. 51, No. 2, 427-442 (2017). MSC: 35Q35 76U05 76M45 35B40 86A05 35Q86 76B65 PDFBibTeX XMLCite \textit{C. Lucas} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 2, 427--442 (2017; Zbl 1364.35280) Full Text: DOI
Adam, John A. Rays, waves, and scattering. Topics in classical mathematical physics. (English) Zbl 1386.00065 Princeton Series in Applied Mathematics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-14837-3/hbk; 978-1-4008-8540-4/ebook). xv, 588 p. (2017). Reviewer: Georg Hebermehl (Berlin) MSC: 00A79 78-01 78A40 78A45 78A46 76B15 76B20 76B55 76B60 76B65 76E17 76Q05 74Jxx 81Q05 81U05 81U20 85A25 86A05 86A15 35Q60 35Q35 35Q74 PDFBibTeX XMLCite \textit{J. A. Adam}, Rays, waves, and scattering. Topics in classical mathematical physics. Princeton, NJ: Princeton University Press (2017; Zbl 1386.00065) Full Text: DOI
Yang, Hong Wei; Xu, Zhen Hua; Yang, De Zhou; Feng, Xing Ru; Yin, Bao Shu; Dong, Huan He ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect. (English) Zbl 1419.35180 Adv. Difference Equ. 2016, Paper No. 167, 22 p. (2016). MSC: 35Q53 35Q51 35C08 PDFBibTeX XMLCite \textit{H. W. Yang} et al., Adv. Difference Equ. 2016, Paper No. 167, 22 p. (2016; Zbl 1419.35180) Full Text: DOI
Petcu, Madalina; Temam, Roger; Wirosoetisno, Djoko Averaging method applied to the three-dimensional primitive equations. (English) Zbl 1354.35111 Discrete Contin. Dyn. Syst. 36, No. 10, 5681-5707 (2016). MSC: 35Q35 35C20 76D50 76B65 35Q86 86A05 PDFBibTeX XMLCite \textit{M. Petcu} et al., Discrete Contin. Dyn. Syst. 36, No. 10, 5681--5707 (2016; Zbl 1354.35111) Full Text: DOI
Gala, Saddek; Ragusa, Maria Alessandra A logarithmic regularity criterion for the two-dimensional MHD equations. (English) Zbl 1349.35294 J. Math. Anal. Appl. 444, No. 2, 1752-1758 (2016). MSC: 35Q35 76W05 76B65 PDFBibTeX XMLCite \textit{S. Gala} and \textit{M. A. Ragusa}, J. Math. Anal. Appl. 444, No. 2, 1752--1758 (2016; Zbl 1349.35294) Full Text: DOI
Do, Tam; Hoang, Vu; Radosz, Maria; Xu, Xiaoqian One-dimensional model equations for hyperbolic fluid flow. (English) Zbl 1381.35135 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 140, 1-11 (2016). MSC: 35Q35 76B65 PDFBibTeX XMLCite \textit{T. Do} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 140, 1--11 (2016; Zbl 1381.35135) Full Text: DOI arXiv
Wang, Chunlei; Zhang, Yong; Yin, Baoshu; Zhang, Xiaoen \((2 + 1)\)-dimensional mKdV hierarchy and chirp effect of Rossby solitary waves. (English) Zbl 1341.35132 Adv. Math. Phys. 2015, Article ID 126508, 7 p. (2015). MSC: 35Q35 35Q53 76B65 35C08 86A05 86A10 PDFBibTeX XMLCite \textit{C. Wang} et al., Adv. Math. Phys. 2015, Article ID 126508, 7 p. (2015; Zbl 1341.35132) Full Text: DOI
Nikitina, L. V.; Campbell, L. J. Dynamics of vortex Rossby waves in tropical cyclones. I: Linear time-dependent evolution on an \(f\)-plane. (English) Zbl 1327.76045 Stud. Appl. Math. 135, No. 4, 377-421 (2015). MSC: 76B65 76U05 44A10 35L05 86A05 86A10 35Q35 35Q86 PDFBibTeX XMLCite \textit{L. V. Nikitina} and \textit{L. J. Campbell}, Stud. Appl. Math. 135, No. 4, 377--421 (2015; Zbl 1327.76045) Full Text: DOI
Shi, Yun-Long; Yang, Hong-Wei; Yin, Bao-Shu; Yang, De-Zhou; Xu, Zhen-Hua; Feng, Xing-Ru Dissipative nonlinear Schrödinger equation with external forcing in rotational stratified fluids and its solution. (English) Zbl 1325.35206 Commun. Theor. Phys. 64, No. 4, 464-472 (2015). MSC: 35Q55 35C05 35C08 76U05 PDFBibTeX XMLCite \textit{Y.-L. Shi} et al., Commun. Theor. Phys. 64, No. 4, 464--472 (2015; Zbl 1325.35206) Full Text: DOI
Kriventsov, Dennis Regularity for a local-nonlocal transmission problem. (English) Zbl 1317.35263 Arch. Ration. Mech. Anal. 217, No. 3, 1103-1195 (2015). MSC: 35Q86 86A10 35Q35 76B65 35B65 PDFBibTeX XMLCite \textit{D. Kriventsov}, Arch. Ration. Mech. Anal. 217, No. 3, 1103--1195 (2015; Zbl 1317.35263) Full Text: DOI arXiv
Vodová-Jahnová, Jiřina On symmetries and conservation laws of the Majda-Biello system. (English) Zbl 1326.35016 Nonlinear Anal., Real World Appl. 22, 148-154 (2015). MSC: 35B06 35Q86 37K05 PDFBibTeX XMLCite \textit{J. Vodová-Jahnová}, Nonlinear Anal., Real World Appl. 22, 148--154 (2015; Zbl 1326.35016) Full Text: DOI arXiv
Yang, Hongwei; Jin, Shanshan; Yin, Baoshu Benjamin-Ono-Burgers-MKdV equation for algebraic Rossby solitary waves in stratified fluids and conservation laws. (English) Zbl 1470.76024 Abstr. Appl. Anal. 2014, Article ID 175841, 5 p. (2014). MSC: 76B25 35Q53 76U65 37K10 PDFBibTeX XMLCite \textit{H. Yang} et al., Abstr. Appl. Anal. 2014, Article ID 175841, 5 p. (2014; Zbl 1470.76024) Full Text: DOI
Yang, Hong Wei; Wang, Xiang Rong; Yin, Bao Shu A kind of new algebraic Rossby solitary waves generated by periodic external source. (English) Zbl 1314.76019 Nonlinear Dyn. 76, No. 3, 1725-1735 (2014). MSC: 76B25 35Q53 35B20 PDFBibTeX XMLCite \textit{H. W. Yang} et al., Nonlinear Dyn. 76, No. 3, 1725--1735 (2014; Zbl 1314.76019) Full Text: DOI
Feireisl, Eduard; Novotný, Antonín Multiple scales and singular limits for compressible rotating fluids with general initial data. (English) Zbl 1307.35220 Commun. Partial Differ. Equations 39, No. 6, 1104-1127 (2014). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 35Q35 76N10 76U05 PDFBibTeX XMLCite \textit{E. Feireisl} and \textit{A. Novotný}, Commun. Partial Differ. Equations 39, No. 6, 1104--1127 (2014; Zbl 1307.35220) Full Text: DOI arXiv
Henry, David; Ivanov, Rossen One-dimensional weakly nonlinear model equations for Rossby waves. (English) Zbl 1292.35230 Discrete Contin. Dyn. Syst. 34, No. 8, 3025-3034 (2014). MSC: 35Q35 35Q51 35Q53 37K10 PDFBibTeX XMLCite \textit{D. Henry} and \textit{R. Ivanov}, Discrete Contin. Dyn. Syst. 34, No. 8, 3025--3034 (2014; Zbl 1292.35230) Full Text: DOI arXiv
Gallagher, Isabelle Semi-classical analysis of oceanic flows. (English) Zbl 1348.35278 Lin, Fanghua (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 3. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-267-1/hbk). Morningside Lectures in Mathematics 3, 145-175 (2013). MSC: 35Q86 35-02 86A05 76B65 76M45 76B15 35B44 PDFBibTeX XMLCite \textit{I. Gallagher}, Morningside Lect. Math. 3, 145--175 (2013; Zbl 1348.35278)
Yamada, Michio; Yoneda, Tsuyoshi A note on resonant interaction of Rossby waves in two-dimensional flow on a \(\beta\) plane. (English) Zbl 1298.35159 Chen, Hua (ed.) et al., Emerging topics on differential equations and their applications. Proceedings on Sino-Japan conference of young mathematicians (SJCYM), Nankai University, Tianjin, People’s Republic of China, December 5–9, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4449-74-8/hbk; 978-981-4449-76-2/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 10, 239-246 (2013). MSC: 35Q35 76B65 76W05 PDFBibTeX XMLCite \textit{M. Yamada} and \textit{T. Yoneda}, Nankai Ser. Pure Appl. Math. Theor. Phys. 10, 239--246 (2013; Zbl 1298.35159) Full Text: DOI
Skiba, Yuri N. Nonlinear and linear instability of the Rossby-Haurwitz wave. (English) Zbl 1288.35400 Int. J. Math. Game Theory Algebra 20(2011), No. 4, 341-368 (2013). MSC: 35Q35 76B65 35B35 35R25 PDFBibTeX XMLCite \textit{Y. N. Skiba}, Int. J. Math. Game Theory Algebra 20, No. 4, 341--368 (2013; Zbl 1288.35400)
Yamada, Michio; Yoneda, Tsuyoshi Resonant interaction of Rossby waves in two-dimensional flow on a \(\beta\) plane. (English) Zbl 1264.35180 Physica D 245, No. 1, 1-7 (2013). MSC: 35Q35 76B65 35D30 PDFBibTeX XMLCite \textit{M. Yamada} and \textit{T. Yoneda}, Physica D 245, No. 1, 1--7 (2013; Zbl 1264.35180) Full Text: DOI Link
Yang, Hong-Wei; Yin, Bao-Shu; Dong, Huan-He; Shi, Yun-Long Algebraic Rossby solitary waves excited by non-stationary external source. (English) Zbl 1264.76030 Commun. Theor. Phys. 58, No. 3, 425-431 (2012). MSC: 76B65 76B47 76E20 76M22 35Q53 35C08 35L65 65M70 PDFBibTeX XMLCite \textit{H.-W. Yang} et al., Commun. Theor. Phys. 58, No. 3, 425--431 (2012; Zbl 1264.76030) Full Text: DOI
Yang, Hong-Wei; Yin, Bao-Shu; Dong, Huan-He; Ma, Zhen-Dong Generation of solitary Rossby waves by unstable topography. (English) Zbl 1247.76022 Commun. Theor. Phys. 57, No. 3, 473-476 (2012). MSC: 76B25 76B65 76E20 76M22 86A05 86A10 35Q53 PDFBibTeX XMLCite \textit{H.-W. Yang} et al., Commun. Theor. Phys. 57, No. 3, 473--476 (2012; Zbl 1247.76022) Full Text: DOI
Cheverry, Christophe; Paul, Thierry On some geometry of propagation in diffractive time scales. (English) Zbl 1243.35118 Discrete Contin. Dyn. Syst. 32, No. 2, 499-538 (2012). Reviewer: Ömer Kavaklioglu (Washington) MSC: 35L60 35Q35 35B25 PDFBibTeX XMLCite \textit{C. Cheverry} and \textit{T. Paul}, Discrete Contin. Dyn. Syst. 32, No. 2, 499--538 (2012; Zbl 1243.35118) Full Text: DOI
Olbers, Dirk; Willebrand, Jürgen; Eden, Carsten Ocean dynamics. (English) Zbl 1296.86001 Berlin: Springer (ISBN 978-3-642-23449-1/hbk; 978-3-642-23450-7/ebook). xxiii, 704 p. (2012). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 86-01 86A05 76-02 76Fxx 76B15 35Q35 37N15 PDFBibTeX XMLCite \textit{D. Olbers} et al., Ocean dynamics. Berlin: Springer (2012; Zbl 1296.86001) Full Text: DOI
Derzho, Oleg G.; de Young, Brad Rotating nonlinear vortical patterns on a gamma plane. (English) Zbl 1210.35188 Stud. Appl. Math. 126, No. 2, 187-201 (2011). MSC: 35Q35 76B65 76E07 86A05 PDFBibTeX XMLCite \textit{O. G. Derzho} and \textit{B. de Young}, Stud. Appl. Math. 126, No. 2, 187--201 (2011; Zbl 1210.35188) Full Text: DOI
Jovanović, D.; Shukla, P. K. Zonal flow generation by the stretching of Rossby modons. (English) Zbl 1236.76106 Phys. Lett., A 374, No. 19-20, 2048-2052 (2010). MSC: 76X05 76W05 76U05 76B65 76B47 76E30 35Q35 76E25 PDFBibTeX XMLCite \textit{D. Jovanović} and \textit{P. K. Shukla}, Phys. Lett., A 374, No. 19--20, 2048--2052 (2010; Zbl 1236.76106) Full Text: DOI
Yang, LianGui; Da, ChaoJiu; Song, Jian; Zhang, HuiQin; Yang, HongLi KdV equation for the amplitude of solitary Rossby waves in barotropic fluids. (English) Zbl 1353.76009 Pac. J. Appl. Math. 1, No. 3, 317-328 (2009). MSC: 76B25 35Q53 PDFBibTeX XMLCite \textit{L. Yang} et al., Pac. J. Appl. Math. 1, No. 3, 317--328 (2009; Zbl 1353.76009)
Biello, Joseph A. Nonlinearly coupled KdV equations describing the interaction of equatorial and midlatitude rossby waves. (English) Zbl 1186.35182 Chin. Ann. Math., Ser. B 30, No. 5, 483-504 (2009). MSC: 35Q53 35Q51 76B60 86A10 PDFBibTeX XMLCite \textit{J. A. Biello}, Chin. Ann. Math., Ser. B 30, No. 5, 483--504 (2009; Zbl 1186.35182) Full Text: DOI
Cheverry, Christophe; Gallagher, Isabelle; Paul, Thierry; Saint-Raymond, Laure Trapping Rossby waves. (English. Abridged French version) Zbl 1177.35162 C. R., Math., Acad. Sci. Paris 347, No. 15-16, 879-884 (2009). MSC: 35Q35 76B15 86A05 PDFBibTeX XMLCite \textit{C. Cheverry} et al., C. R., Math., Acad. Sci. Paris 347, No. 15--16, 879--884 (2009; Zbl 1177.35162) Full Text: DOI arXiv HAL
Burzlaff, J.; DeLoughry, E.; Lynch, P. Generation of zonal flow by resonant Rossby-Haurwitz wave interactions. (English) Zbl 1505.86009 Geophys. Astrophys. Fluid Dyn. 102, No. 2, 165-177 (2008). MSC: 86A10 35Q86 PDFBibTeX XMLCite \textit{J. Burzlaff} et al., Geophys. Astrophys. Fluid Dyn. 102, No. 2, 165--177 (2008; Zbl 1505.86009) Full Text: DOI
Rostand, Virgile; Le Roux, Daniel Y.; Carey, Graham Kernel analysis of the discretized finite difference and finite element shallow-water models. (English) Zbl 1191.35025 SIAM J. Sci. Comput. 31, No. 1, 531-556 (2008). Reviewer: Qin Mengzhao (Beijing) MSC: 35A35 76B15 76B47 76B65 74S20 74S05 65M06 PDFBibTeX XMLCite \textit{V. Rostand} et al., SIAM J. Sci. Comput. 31, No. 1, 531--556 (2008; Zbl 1191.35025) Full Text: DOI
Cai, Jingjing; Ma, Guodong; Zhou, Lei; Liu, Yongming Selective decay of enstrophy and the excitation of waves. (Chinese. English summary) Zbl 1199.35200 J. Yunnan Univ., Nat. Sci. 30, No. 3, 224-232 (2008). MSC: 35L05 76B65 76M30 PDFBibTeX XMLCite \textit{J. Cai} et al., J. Yunnan Univ., Nat. Sci. 30, No. 3, 224--232 (2008; Zbl 1199.35200)
Le Roux, Daniel Y.; Pouliot, Benoit Analysis of numerically induced oscillations in two-dimensional finite-element shallow-water models. II: Free planetary waves. (English) Zbl 1191.35024 SIAM J. Sci. Comput. 30, No. 4, 1971-1991 (2008). Reviewer: Argiris I. Delis (Chania) MSC: 35A35 65L60 76B65 65M60 PDFBibTeX XMLCite \textit{D. Y. Le Roux} and \textit{B. Pouliot}, SIAM J. Sci. Comput. 30, No. 4, 1971--1991 (2008; Zbl 1191.35024) Full Text: DOI
Gallagher, Isabelle; Saint-Raymond, Laure Mathematical study of the betaplane model: equatorial waves and convergence results. (English) Zbl 1151.35070 Mém. Soc. Math. Fr., Nouv. Sér. 107, 1-118 (2007). Reviewer: Vasile Ionescu (Bucureşti) MSC: 35Q30 76U05 76B15 86A05 PDFBibTeX XMLCite \textit{I. Gallagher} and \textit{L. Saint-Raymond}, Mém. Soc. Math. Fr., Nouv. Sér. 107, 1--118 (2008; Zbl 1151.35070) Full Text: arXiv
Chen, Zhe; Li, Chong-Yin; Fu, Zun-Tao Periodic structures of Rossby wave under influence of dissipation. (English) Zbl 1355.35160 Commun. Theor. Phys. 47, No. 1, 35-40 (2007). MSC: 35Q53 33E05 76B65 PDFBibTeX XMLCite \textit{Z. Chen} et al., Commun. Theor. Phys. 47, No. 1, 35--40 (2007; Zbl 1355.35160) Full Text: DOI
Stefanov, Atanas Global well-posedness for the 2D quasi-geostrophic equation in a critical Besov space. (English) Zbl 1133.35081 Electron. J. Differ. Equ. 2007, Paper No. 150, 9 p. (2007). MSC: 35Q35 76D03 35K55 76B65 PDFBibTeX XMLCite \textit{A. Stefanov}, Electron. J. Differ. Equ. 2007, Paper No. 150, 9 p. (2007; Zbl 1133.35081) Full Text: arXiv EuDML EMIS
Kaladze, T. D.; Wu, D. J.; Pokhotelov, O. A.; Sagdeev, R. Z.; Stenflo, L.; Shukla, P. K. Zonal flow generation by magnetized Rossby waves in the ionospheric \(E\)-layer. (English) Zbl 1131.82314 Aslam, M. Jamil (ed.) et al., Mathematical physics. Proceedings of the 12th regional conference, Islamabad, Pakistan, 27 March – 1 April 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-591-4/hbk). 237-251 (2007). MSC: 82D10 86A25 86A10 35Q53 76X05 PDFBibTeX XMLCite \textit{T. D. Kaladze} et al., in: Mathematical physics. Proceedings of the 12th regional conference, Islamabad, Pakistan, 27 March -- 1 April 2006. Hackensack, NJ: World Scientific. 237--251 (2007; Zbl 1131.82314)