Donati, Martin; Godard-Cadillac, Ludovic Hölder regularity for collapses of point-vortices. (English) Zbl 07749172 Nonlinearity 36, No. 11, 5773-5818 (2023). Reviewer: Raphaël Danchin (Paris) MSC: 76B03 76B47 76U60 35Q31 86A10 PDFBibTeX XMLCite \textit{M. Donati} and \textit{L. Godard-Cadillac}, Nonlinearity 36, No. 11, 5773--5818 (2023; Zbl 07749172) 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
Crisan, D.; Holm, D. D.; Korn, P. An implementation of Hasselmann’s paradigm for stochastic climate modelling based on stochastic Lie transport. (English) Zbl 1525.37090 Nonlinearity 36, No. 9, 4862-4903 (2023). MSC: 37N10 86A08 60H15 37L55 PDFBibTeX XMLCite \textit{D. Crisan} et al., Nonlinearity 36, No. 9, 4862--4903 (2023; Zbl 1525.37090) Full Text: DOI arXiv
Brandt, Felix; Hieber, Matthias Time periodic solutions to Hibler’s sea ice model. (English) Zbl 1516.35417 Nonlinearity 36, No. 6, 3109-3124 (2023). MSC: 35Q86 35K59 35B10 86A05 86A10 PDFBibTeX XMLCite \textit{F. Brandt} and \textit{M. Hieber}, Nonlinearity 36, No. 6, 3109--3124 (2023; Zbl 1516.35417) Full Text: DOI arXiv
Choi, Hyungjun Global well-posedness of slightly supercritical SQG equations and gradient estimate. (English) Zbl 1511.35273 Nonlinearity 36, No. 5, 2166-2192 (2023). MSC: 35Q35 35Q86 76U05 86A05 35B50 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{H. Choi}, Nonlinearity 36, No. 5, 2166--2192 (2023; Zbl 1511.35273) Full Text: DOI arXiv
Cheng, Bin; Sakellaris, Zisis N. Near-resonance approximation of rotating Navier-Stokes equations. (English) Zbl 1510.35206 Nonlinearity 36, No. 4, 2074-2127 (2023). MSC: 35Q30 76D05 76U60 35B34 35A01 35A02 86A05 11D75 33E05 42B37 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{Z. N. Sakellaris}, Nonlinearity 36, No. 4, 2074--2127 (2023; Zbl 1510.35206) Full Text: DOI arXiv
Emerald, Louis Rigorous derivation of the Whitham equations from the water waves equations in the shallow water regime. (English) Zbl 1479.35663 Nonlinearity 34, No. 11, 7470-7509 (2021). MSC: 35Q35 76B15 35C20 86A05 PDFBibTeX XMLCite \textit{L. Emerald}, Nonlinearity 34, No. 11, 7470--7509 (2021; Zbl 1479.35663) Full Text: DOI arXiv
Dong, Bo-Qing; Li, Chaoying; Xu, Xiaojing; Ye, Zhuan Global smooth solution of 2D temperature-dependent tropical climate model. (English) Zbl 1473.35438 Nonlinearity 34, No. 8, 5662-5686 (2021). MSC: 35Q35 35Q86 35B65 76D03 86A08 86A10 PDFBibTeX XMLCite \textit{B.-Q. Dong} et al., Nonlinearity 34, No. 8, 5662--5686 (2021; Zbl 1473.35438) Full Text: DOI
Isett, Philip; Ma, Andrew A direct approach to nonuniqueness and failure of compactness for the SQG equation. (English) Zbl 1473.35580 Nonlinearity 34, No. 5, 3122-3162 (2021). MSC: 35Q86 35Q35 35D30 35A02 86A05 86A10 PDFBibTeX XMLCite \textit{P. Isett} and \textit{A. Ma}, Nonlinearity 34, No. 5, 3122--3162 (2021; Zbl 1473.35580) Full Text: DOI arXiv
Kristiansen, K. Uldall A new type of relaxation oscillation in a model with rate-and-state friction. (English) Zbl 1486.34112 Nonlinearity 33, No. 6, 2960-3037 (2020). MSC: 34E15 34A26 34C26 70K70 34C45 86A15 PDFBibTeX XMLCite \textit{K. U. Kristiansen}, Nonlinearity 33, No. 6, 2960--3037 (2020; Zbl 1486.34112) Full Text: DOI arXiv
Lucarini, Valerio; Bódai, Tamás Global stability properties of the climate: melancholia states, invariant measures, and phase transitions. (English) Zbl 1457.86007 Nonlinearity 33, No. 9, R59-R92 (2020). MSC: 86A08 35Q86 37C75 60H30 62P12 PDFBibTeX XMLCite \textit{V. Lucarini} and \textit{T. Bódai}, Nonlinearity 33, No. 9, R59--R92 (2020; Zbl 1457.86007) Full Text: DOI arXiv
Furukawa, Ken; Giga, Yoshikazu; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito; Wrona, Marc Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations. (English) Zbl 1452.35150 Nonlinearity 33, No. 12, 6502-6516 (2020). MSC: 35Q35 47D06 86A05 86A10 35Q86 PDFBibTeX XMLCite \textit{K. Furukawa} et al., Nonlinearity 33, No. 12, 6502--6516 (2020; Zbl 1452.35150) Full Text: DOI arXiv
Henry, D.; Martin, C. I. Stratified equatorial flows in cylindrical coordinates. (English) Zbl 1447.35329 Nonlinearity 33, No. 8, 3889-3904 (2020). MSC: 35Q86 35Q31 35Q35 86A05 76U60 76B70 76E20 35R35 35A01 PDFBibTeX XMLCite \textit{D. Henry} and \textit{C. I. Martin}, Nonlinearity 33, No. 8, 3889--3904 (2020; Zbl 1447.35329) Full Text: DOI
Deugoué, G.; Moghomye, B. Jidjou; Tachim Medjo, T. Existence of a solution to the stochastic nonlocal Cahn-Hilliard Navier-Stokes model via a splitting-up method. (English) Zbl 1452.35268 Nonlinearity 33, No. 7, 3424-3469 (2020). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{G. Deugoué} et al., Nonlinearity 33, No. 7, 3424--3469 (2020; Zbl 1452.35268) Full Text: DOI
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. (English) Zbl 1447.35267 Nonlinearity 33, No. 7, 3206-3236 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 35Q86 86A10 PDFBibTeX XMLCite \textit{S. Hittmeir} et al., Nonlinearity 33, No. 7, 3206--3236 (2020; Zbl 1447.35267) Full Text: DOI arXiv
Lannes, D. Modeling shallow water waves. (English) Zbl 1442.35462 Nonlinearity 33, No. 5, R1-R57 (2020). MSC: 35Q86 35Q53 86A05 35L55 35L67 76B15 76-02 35Q31 PDFBibTeX XMLCite \textit{D. Lannes}, Nonlinearity 33, No. 5, R1--R57 (2020; Zbl 1442.35462) Full Text: DOI arXiv
Ye, Zhuan On the global regularity for the anisotropic dissipative surface quasi-geostrophic equation. (English) Zbl 1429.35206 Nonlinearity 33, No. 1, 72-105 (2020). MSC: 35R11 35Q35 76U05 86A05 35A01 35B45 35B65 76D03 PDFBibTeX XMLCite \textit{Z. Ye}, Nonlinearity 33, No. 1, 72--105 (2020; Zbl 1429.35206) Full Text: DOI arXiv
Liu, Jianli; Pan, Kejia; Wu, Jiahong A class of large solutions to the supercritical surface quasi-geostrophic equation. (English) Zbl 1425.35085 Nonlinearity 32, No. 12, 5049-5059 (2019). MSC: 35K55 35Q35 35Q86 86A05 76U05 86A10 PDFBibTeX XMLCite \textit{J. Liu} et al., Nonlinearity 32, No. 12, 5049--5059 (2019; Zbl 1425.35085) Full Text: DOI
Yamamoto, Masakazu; Sugiyama, Yuusuke Spatial-decay of solutions to the quasi-geostrophic equation with the critical and supercritical dissipation. (English) Zbl 1473.35582 Nonlinearity 32, No. 7, 2467-2480 (2019). MSC: 35Q86 35Q35 35B40 26A33 35R11 86A05 PDFBibTeX XMLCite \textit{M. Yamamoto} and \textit{Y. Sugiyama}, Nonlinearity 32, No. 7, 2467--2480 (2019; Zbl 1473.35582) Full Text: DOI arXiv
Iulian Martin, Calin Constant vorticity water flows with full Coriolis term. (English) Zbl 1420.35244 Nonlinearity 32, No. 7, 2327-2336 (2019). Reviewer: Theodore Drivas (Princeton) MSC: 35Q35 76B15 76U05 76B47 35Q86 86A05 35R35 PDFBibTeX XMLCite \textit{C. Iulian Martin}, Nonlinearity 32, No. 7, 2327--2336 (2019; Zbl 1420.35244) Full Text: DOI
Goh, Ryan; Wayne, C. Eugene Vortices in stably-stratified rapidly rotating Boussinesq convection. (English) Zbl 1414.35167 Nonlinearity 32, No. 5, R1 (2019). MSC: 35Q35 76U05 37N10 35B40 35Q86 86A05 PDFBibTeX XMLCite \textit{R. Goh} and \textit{C. E. Wayne}, Nonlinearity 32, No. 5, R1 (2019; Zbl 1414.35167) Full Text: DOI arXiv
Ambrose, David M.; Simpson, Gideon; Wright, J. Douglas; Yang, Dennis G. Existence theory for magma equations in dimension two and higher. (English) Zbl 1395.35168 Nonlinearity 31, No. 10, 4724-4745 (2018). MSC: 35Q53 86A17 76S05 PDFBibTeX XMLCite \textit{D. M. Ambrose} et al., Nonlinearity 31, No. 10, 4724--4745 (2018; Zbl 1395.35168) Full Text: DOI arXiv
Cao, Yining; Hamouda, Makram; Temam, Roger; Tribbia, Joseph; Wang, Xiaoyan The equations of the multi-phase humid atmosphere expressed as a quasi variational inequality. (English) Zbl 1395.35128 Nonlinearity 31, No. 10, 4692-4723 (2018). MSC: 35K87 35Q35 76D03 86A10 PDFBibTeX XMLCite \textit{Y. Cao} et al., Nonlinearity 31, No. 10, 4692--4723 (2018; Zbl 1395.35128) Full Text: DOI Link
Tantet, Alexis; Lucarini, Valerio; Lunkeit, Frank; Dijkstra, Henk A. Crisis of the chaotic attractor of a climate model: a transfer operator approach. (English) Zbl 1406.37061 Nonlinearity 31, No. 5, 2221-2251 (2018). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37N10 37D45 37A30 37D25 37G35 37C30 86A10 PDFBibTeX XMLCite \textit{A. Tantet} et al., Nonlinearity 31, No. 5, 2221--2251 (2018; Zbl 1406.37061) Full Text: DOI arXiv Link
Harrop-Griffiths, Benjamin; Marzuola, Jeremy L. Small data global solutions for the Camassa-Choi equations. (English) Zbl 1393.35169 Nonlinearity 31, No. 5, 1868-1904 (2018). MSC: 35Q35 76B55 35P25 86A05 35B40 PDFBibTeX XMLCite \textit{B. Harrop-Griffiths} and \textit{J. L. Marzuola}, Nonlinearity 31, No. 5, 1868--1904 (2018; Zbl 1393.35169) Full Text: DOI arXiv
Hunter, John K.; Shu, Jingyang Regularized and approximate equations for sharp fronts in the surface quasi-geostrophic equation and its generalizations. (English) Zbl 1391.35328 Nonlinearity 31, No. 6, 2480-2517 (2018). MSC: 35Q35 76U05 86A10 76B60 PDFBibTeX XMLCite \textit{J. K. Hunter} and \textit{J. Shu}, Nonlinearity 31, No. 6, 2480--2517 (2018; Zbl 1391.35328) Full Text: DOI arXiv
Galdi, Giovanni P.; Hieber, Matthias; Kashiwabara, Takahito Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces. (English) Zbl 1377.35224 Nonlinearity 30, No. 10, 3979-3992 (2017). MSC: 35Q35 76D03 47D06 86A05 35B10 35D35 35Q86 PDFBibTeX XMLCite \textit{G. P. Galdi} et al., Nonlinearity 30, No. 10, 3979--3992 (2017; Zbl 1377.35224) Full Text: DOI arXiv
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S. Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. (English) Zbl 1379.35325 Nonlinearity 30, No. 10, 3676-3718 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q86 35A01 35B45 35D35 35M86 35Q30 35Q35 76D03 76D09 86A10 PDFBibTeX XMLCite \textit{S. Hittmeir} et al., Nonlinearity 30, No. 10, 3676--3718 (2017; Zbl 1379.35325) Full Text: DOI arXiv
Gibbon, John D.; Holm, Darryl D. Bounds on solutions of the rotating, stratified, incompressible, non-hydrostatic, three-dimensional Boussinesq equations. (English) Zbl 1368.76009 Nonlinearity 30, No. 6, R1-R24 (2017). MSC: 76B03 35Q35 86A05 86A10 PDFBibTeX XMLCite \textit{J. D. Gibbon} and \textit{D. D. Holm}, Nonlinearity 30, No. 6, R1--R24 (2017; Zbl 1368.76009) Full Text: DOI arXiv
Bossolini, Elena; Brøns, Morten; Kristiansen, Kristian Uldall Singular limit analysis of a model for earthquake faulting. (English) Zbl 1381.34067 Nonlinearity 30, No. 7, 2805-2834 (2017). Reviewer: Nikola Popovic (Edinburgh) MSC: 34C60 34E15 34C26 86A17 34C23 PDFBibTeX XMLCite \textit{E. Bossolini} et al., Nonlinearity 30, No. 7, 2805--2834 (2017; Zbl 1381.34067) Full Text: DOI arXiv
Lucarini, Valerio; Bódai, Tamás Edge states in the climate system: exploring global instabilities and critical transitions. (English) Zbl 1369.86004 Nonlinearity 30, No. 7, R32-R66 (2017). MSC: 86A10 76U05 76E20 37N10 37D45 37G35 34C28 37C70 PDFBibTeX XMLCite \textit{V. Lucarini} and \textit{T. Bódai}, Nonlinearity 30, No. 7, R32--R66 (2017; Zbl 1369.86004) Full Text: DOI arXiv
Chen, Zhi-Min Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation. (English) Zbl 1353.35231 Nonlinearity 29, No. 10, 3132-3147 (2016). MSC: 35Q35 35B32 35B35 37K50 37K45 26A33 86A05 PDFBibTeX XMLCite \textit{Z.-M. Chen}, Nonlinearity 29, No. 10, 3132--3147 (2016; Zbl 1353.35231) Full Text: DOI Link
Li, Jinkai; Titi, Edriss S. A tropical atmosphere model with moisture: global well-posedness and relaxation limit. (English) Zbl 1345.35116 Nonlinearity 29, No. 9, 2674-2714 (2016). MSC: 35Q86 35Q35 76D03 86A10 PDFBibTeX XMLCite \textit{J. Li} and \textit{E. S. Titi}, Nonlinearity 29, No. 9, 2674--2714 (2016; Zbl 1345.35116) Full Text: DOI arXiv
Walsh, James; Widiasih, Esther; Hahn, Jonathan; McGehee, Richard Periodic orbits for a discontinuous vector field arising from a conceptual model of glacial cycles. (English) Zbl 1364.37172 Nonlinearity 29, No. 6, 1843-1864 (2016). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37N10 34C25 34A37 86A40 PDFBibTeX XMLCite \textit{J. Walsh} et al., Nonlinearity 29, No. 6, 1843--1864 (2016; Zbl 1364.37172) Full Text: DOI arXiv
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. (English) Zbl 1339.35246 Nonlinearity 29, No. 4, 1292-1328 (2016). MSC: 35Q35 76B03 86A10 76S05 93B52 35D30 35D35 PDFBibTeX XMLCite \textit{P. A. Markowich} et al., Nonlinearity 29, No. 4, 1292--1328 (2016; Zbl 1339.35246) Full Text: DOI arXiv
Friedlander, Susan; Suen, Anthony Existence, uniqueness, regularity and instability results for the viscous magneto-geostrophic equation. (English) Zbl 1436.76062 Nonlinearity 28, No. 9, 3193-3217 (2015). MSC: 76W05 35Q86 35Q35 76E20 86A25 PDFBibTeX XMLCite \textit{S. Friedlander} and \textit{A. Suen}, Nonlinearity 28, No. 9, 3193--3217 (2015; Zbl 1436.76062) Full Text: DOI arXiv
Kuksin, Sergei; Maiocchi, Alberto The limit of small Rossby numbers for randomly forced quasi-geostrophic equation on \(\beta\)-plane. (English) Zbl 1327.35462 Nonlinearity 28, No. 7, 2319-2341 (2015). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 35R60 35Q86 86A10 PDFBibTeX XMLCite \textit{S. Kuksin} and \textit{A. Maiocchi}, Nonlinearity 28, No. 7, 2319--2341 (2015; Zbl 1327.35462) Full Text: DOI arXiv Link
Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas A quasi-static phase-field approach to pressurized fractures. (English) Zbl 1316.35287 Nonlinearity 28, No. 5, 1371-1399 (2015). MSC: 35Q86 47J20 49J40 74R10 86A99 PDFBibTeX XMLCite \textit{A. Mikelić} et al., Nonlinearity 28, No. 5, 1371--1399 (2015; Zbl 1316.35287) Full Text: DOI HAL
Wu, Jiahong; Xu, Xiaojing Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation. (English) Zbl 1301.35115 Nonlinearity 27, No. 9, 2215-2232 (2014). MSC: 35Q35 35B35 35B65 76D03 35R11 86A05 PDFBibTeX XMLCite \textit{J. Wu} and \textit{X. Xu}, Nonlinearity 27, No. 9, 2215--2232 (2014; Zbl 1301.35115) Full Text: DOI Link
Palmer, T. N.; Döring, A.; Seregin, G. The real butterfly effect. (English) Zbl 1322.34056 Nonlinearity 27, No. 9, R123-R141 (2014). Reviewer: Svitlana P. Rogovchenko (Kristiansand) MSC: 34C28 37D45 86A10 PDFBibTeX XMLCite \textit{T. N. Palmer} et al., Nonlinearity 27, No. 9, R123--R141 (2014; Zbl 1322.34056) Full Text: DOI
Kukavica, Igor; Pei, Yuan; Rusin, Walter; Ziane, Mohammed Primitive equations with continuous initial data. (English) Zbl 1291.35187 Nonlinearity 27, No. 6, 1135-1155 (2014). MSC: 35Q30 35Q86 86A05 35K15 49K40 90C31 76E20 76U05 PDFBibTeX XMLCite \textit{I. Kukavica} et al., Nonlinearity 27, No. 6, 1135--1155 (2014; Zbl 1291.35187) Full Text: DOI
Khouider, Boualem; Majda, Andrew J.; Stechmann, Samuel N. Climate science in the tropics: waves, vortices and PDEs. (English) Zbl 1322.86002 Nonlinearity 26, No. 1, R1-R68 (2013). MSC: 86A10 35Q86 76B60 PDFBibTeX XMLCite \textit{B. Khouider} et al., Nonlinearity 26, No. 1, R1--R68 (2013; Zbl 1322.86002) Full Text: DOI
Branicki, Michal; Majda, Andrew J. Quantifying uncertainty for predictions with model error in non-Gaussian systems with intermittency. (English) Zbl 1259.86004 Nonlinearity 25, No. 9, 2543-2578 (2012). MSC: 86A10 PDFBibTeX XMLCite \textit{M. Branicki} and \textit{A. J. Majda}, Nonlinearity 25, No. 9, 2543--2578 (2012; Zbl 1259.86004) Full Text: DOI Link
Fefferman, Charles; Luli, Garving; Rodrigo, Jose The spine of an SQG almost-sharp front. (English) Zbl 1235.76019 Nonlinearity 25, No. 2, 329-342 (2012). MSC: 76B99 35Q35 76U05 86A10 PDFBibTeX XMLCite \textit{C. Fefferman} et al., Nonlinearity 25, No. 2, 329--342 (2012; Zbl 1235.76019) Full Text: DOI
Duchêne, Vincent Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon. (English) Zbl 1222.76024 Nonlinearity 24, No. 8, 2281-2323 (2011). MSC: 76B55 35Q35 35C20 86A05 PDFBibTeX XMLCite \textit{V. Duchêne}, Nonlinearity 24, No. 8, 2281--2323 (2011; Zbl 1222.76024) Full Text: DOI arXiv
Du, Yihong; Mei, Linfeng On a nonlocal reaction-diffusion-advection equation modelling phytoplankton dynamics. (English) Zbl 1223.35063 Nonlinearity 24, No. 1, 319-349 (2011). MSC: 35B40 35K57 86A05 35K15 PDFBibTeX XMLCite \textit{Y. Du} and \textit{L. Mei}, Nonlinearity 24, No. 1, 319--349 (2011; Zbl 1223.35063) Full Text: DOI
Ersoy, Mehmet; Ngom, Timack; Sy, Mamadou Compressible primitive equations: formal derivation and stability of weak solutions. (English) Zbl 1372.76032 Nonlinearity 24, No. 1, 79-96 (2011). MSC: 76D05 86A10 35Q35 35B35 76E20 PDFBibTeX XMLCite \textit{M. Ersoy} et al., Nonlinearity 24, No. 1, 79--96 (2011; Zbl 1372.76032) Full Text: DOI arXiv Link
Hairer, Martin; Majda, Andrew J. A simple framework to justify linear response theory. (English) Zbl 1186.82006 Nonlinearity 23, No. 4, 909-922 (2010). MSC: 82B05 37A60 60H15 86A32 86A10 PDFBibTeX XMLCite \textit{M. Hairer} and \textit{A. J. Majda}, Nonlinearity 23, No. 4, 909--922 (2010; Zbl 1186.82006) Full Text: DOI arXiv
Niu, Dongjuan Coupled boundary layers for the primitive equations of atmosphere. (English) Zbl 1186.76633 Nonlinearity 23, No. 4, 883-908 (2010). MSC: 76B47 35Q30 41A60 86A10 PDFBibTeX XMLCite \textit{D. Niu}, Nonlinearity 23, No. 4, 883--908 (2010; Zbl 1186.76633) Full Text: DOI
Kiselev, Alexander; Nazarov, Fedor Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation. (English) Zbl 1185.35190 Nonlinearity 23, No. 3, 549-554 (2010). MSC: 35Q35 76U05 86A05 PDFBibTeX XMLCite \textit{A. Kiselev} and \textit{F. Nazarov}, Nonlinearity 23, No. 3, 549--554 (2010; Zbl 1185.35190) Full Text: DOI arXiv
Faria, Josiane C. O.; Filho, Milton C. Lopes; Nussenzveig Lopes, Helena J. Weak stability of Lagrangian solutions to the semigeostrophic equations. (English) Zbl 1176.35134 Nonlinearity 22, No. 10, 2521-2539 (2009). MSC: 35Q35 76U05 86A05 86A10 76B15 35D30 PDFBibTeX XMLCite \textit{J. C. O. Faria} et al., Nonlinearity 22, No. 10, 2521--2539 (2009; Zbl 1176.35134) Full Text: DOI arXiv
Li, Dong Existence theorems for the 2D quasi-geostrophic equation with plane wave initial conditions. (English) Zbl 1177.35170 Nonlinearity 22, No. 7, 1639-1651 (2009). MSC: 35Q35 35C10 86A05 PDFBibTeX XMLCite \textit{D. Li}, Nonlinearity 22, No. 7, 1639--1651 (2009; Zbl 1177.35170) Full Text: DOI
Colin de Verdière, Yves Semiclassical analysis and passive imaging. (English) Zbl 1177.86011 Nonlinearity 22, No. 6, R45-R75 (2009). Reviewer: Viorel Mihai Gontineac (Iaşi) MSC: 86A15 37N99 PDFBibTeX XMLCite \textit{Y. Colin de Verdière}, Nonlinearity 22, No. 6, R45--R75 (2009; Zbl 1177.86011) Full Text: DOI arXiv
Bridges, Thomas J. Wave breaking and the surface velocity field for three-dimensional water waves. (English) Zbl 1170.76008 Nonlinearity 22, No. 5, 947-953 (2009). Reviewer: Felix Kaplanski (Tallinn) MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{T. J. Bridges}, Nonlinearity 22, No. 5, 947--953 (2009; Zbl 1170.76008) Full Text: DOI
Zhou, Yong Asymptotic behaviour of the solutions to the 2D dissipative quasi-geostrophic flows. (English) Zbl 1186.35170 Nonlinearity 21, No. 9, 2061-2071 (2008). MSC: 35Q35 76D05 35B40 35B45 86A05 PDFBibTeX XMLCite \textit{Y. Zhou}, Nonlinearity 21, No. 9, 2061--2071 (2008; Zbl 1186.35170) Full Text: DOI Link
Goldman, Dorian; McCann, Robert J. Chaotic response of the 2D semi-geostrophic and 3D quasi-geostrophic equations to gentle periodic forcing. (English) Zbl 1140.76041 Nonlinearity 21, No. 7, 1455-1470 (2008). MSC: 76U05 37N10 86A05 86A10 PDFBibTeX XMLCite \textit{D. Goldman} and \textit{R. J. McCann}, Nonlinearity 21, No. 7, 1455--1470 (2008; Zbl 1140.76041) Full Text: DOI Link
Carrillo, José A.; Ferreira, Lucas C. F. The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations. (English) Zbl 1136.76052 Nonlinearity 21, No. 5, 1001-1018 (2008). MSC: 76U05 35Q35 86A05 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{L. C. F. Ferreira}, Nonlinearity 21, No. 5, 1001--1018 (2008; Zbl 1136.76052) Full Text: DOI
Abramov, Rafail V.; Majda, Andrew J. Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems. (English) Zbl 1134.37365 Nonlinearity 20, No. 12, 2793-2821 (2007). MSC: 37N10 76F20 86A05 86A10 82C05 37M05 PDFBibTeX XMLCite \textit{R. V. Abramov} and \textit{A. J. Majda}, Nonlinearity 20, No. 12, 2793--2821 (2007; Zbl 1134.37365) Full Text: DOI Link
Simpson, G.; Spiegelman, M.; Weinstein, M. I. Degenerate dispersive equations arising in the study of magma dynamics. (English) Zbl 1177.86013 Nonlinearity 20, No. 1, 21-49 (2007). MSC: 86A17 35Q53 76D99 76S05 PDFBibTeX XMLCite \textit{G. Simpson} et al., Nonlinearity 20, No. 1, 21--49 (2007; Zbl 1177.86013) Full Text: DOI arXiv
Bresch, Didier; Métivier, Guy Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations. (English) Zbl 1099.35094 Nonlinearity 19, No. 3, 591-610 (2006). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q35 76B03 35J70 86A05 PDFBibTeX XMLCite \textit{D. Bresch} and \textit{G. Métivier}, Nonlinearity 19, No. 3, 591--610 (2006; Zbl 1099.35094) Full Text: DOI arXiv
McCann, Robert J.; Oberman, Adam M. Exact semi-geostrophic flows in an elliptical ocean basin. (English) Zbl 1115.37070 Nonlinearity 17, No. 5, 1891-1922 (2004). MSC: 37N10 35J60 35Q35 76B60 76U05 86A05 PDFBibTeX XMLCite \textit{R. J. McCann} and \textit{A. M. Oberman}, Nonlinearity 17, No. 5, 1891--1922 (2004; Zbl 1115.37070) Full Text: DOI Link
Cao, Chongsheng; Titi, Edriss S.; Ziane, Mohammed A ‘horizontal’ hyper-diffusion three-dimensonal thermocline planetary geostrophic model: well-posedness and long-time behaviour. (English) Zbl 1070.35028 Nonlinearity 17, No. 5, 1749-1776 (2004). MSC: 35Q35 76D03 65M70 86A10 35B41 PDFBibTeX XMLCite \textit{C. Cao} et al., Nonlinearity 17, No. 5, 1749--1776 (2004; Zbl 1070.35028) Full Text: DOI arXiv
Rousset, F. Large mixed Ekman-Hartmann boundary-layers in magnetohydrodynamics. (English) Zbl 1054.35069 Nonlinearity 17, No. 2, 503-518 (2004). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q35 76E25 76U05 76W05 76E20 76E30 86A25 PDFBibTeX XMLCite \textit{F. Rousset}, Nonlinearity 17, No. 2, 503--518 (2004; Zbl 1054.35069) Full Text: DOI
Broer, Henk; Simó, Carles; Vitolo, Renato Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. (English) Zbl 1148.37307 Nonlinearity 15, No. 4, 1205-1267 (2002). MSC: 37D45 37G35 37N10 86A10 PDFBibTeX XMLCite \textit{H. Broer} et al., Nonlinearity 15, No. 4, 1205--1267 (2002; Zbl 1148.37307) Full Text: DOI Link
Ellis, Richard S.; Haven, Kyle; Turkington, Bruce Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows. (English) Zbl 1068.76041 Nonlinearity 15, No. 2, 239-255 (2002). MSC: 76F55 76E20 76M35 82B21 86A10 PDFBibTeX XMLCite \textit{R. S. Ellis} et al., Nonlinearity 15, No. 2, 239--255 (2002; Zbl 1068.76041) Full Text: DOI arXiv
Chen, Gui-Qiang; Zhang, Ping On the zero-Rossby limit for the primitive equations of the atmosphere. (English) Zbl 1007.35072 Nonlinearity 14, No. 5, 1279-1295 (2001). Reviewer: Oleg Titow (Berlin) MSC: 35Q35 86A10 35B25 PDFBibTeX XMLCite \textit{G.-Q. Chen} and \textit{P. Zhang}, Nonlinearity 14, No. 5, 1279--1295 (2001; Zbl 1007.35072) Full Text: DOI Link
Grote, M. J.; Majda, A. J. Crude closure for flow with topography through large-scale statistical theory. (English) Zbl 0978.76072 Nonlinearity 13, No. 3, 569-600 (2000). MSC: 76M35 86A05 PDFBibTeX XMLCite \textit{M. J. Grote} and \textit{A. J. Majda}, Nonlinearity 13, No. 3, 569--600 (2000; Zbl 0978.76072) Full Text: DOI Link
Brenier, Yann Homogeneous hydrostatic flows with convex velocity profiles. (English) Zbl 0984.35131 Nonlinearity 12, No. 3, 495-512 (1999). MSC: 35Q35 76B47 76B99 86A05 PDFBibTeX XMLCite \textit{Y. Brenier}, Nonlinearity 12, No. 3, 495--512 (1999; Zbl 0984.35131) Full Text: DOI
Ellegaard, Clive; Hansen, Adam Espe; Haaning, Anders; Hansen, Kim; Marcussen, Anders; Bohr, Tomas; Hansen, Jonas Lundbek; Watanabe, Shinya Cover illustration: Polygonal hydraulic jumps. (English) Zbl 0922.76030 Nonlinearity 12, No. 1, 1-7 (1999). MSC: 76-05 86A05 PDFBibTeX XMLCite \textit{C. Ellegaard} et al., Nonlinearity 12, No. 1, 1--7 (1999; Zbl 0922.76030) Full Text: DOI Link
Balasuriya, Sanjeeva; Jones, Christopher K. R. T.; Sandstede, Björn Viscous perturbations of vorticity-conserving flows and separatrix splitting. (English) Zbl 0913.76014 Nonlinearity 11, No. 1, 47-77 (1998). Reviewer: A.Berezovski (Tallinn) MSC: 76B47 76D99 86A05 37J40 PDFBibTeX XMLCite \textit{S. Balasuriya} et al., Nonlinearity 11, No. 1, 47--77 (1998; Zbl 0913.76014) Full Text: DOI Link
Restrepo, Juan Mario; Bona, Jerry L. Three-dimensional model for the formation of longshore sand structures on the continental shelf. (English) Zbl 0833.76009 Nonlinearity 8, No. 5, 781-820 (1995). MSC: 76B15 76D33 86A05 PDFBibTeX XMLCite \textit{J. M. Restrepo} and \textit{J. L. Bona}, Nonlinearity 8, No. 5, 781--820 (1995; Zbl 0833.76009) Full Text: DOI
Ilyin, A. A. Navier-Stokes equations on the rotating sphere. A simple proof of the attractor dimension estimate. (English) Zbl 0840.35077 Nonlinearity 7, No. 1, 31-39 (1994). MSC: 35Q30 86A10 35Q35 35M10 PDFBibTeX XMLCite \textit{A. A. Ilyin}, Nonlinearity 7, No. 1, 31--39 (1994; Zbl 0840.35077) Full Text: DOI
Lions, Jacques-Louis; Temam, Roger; Wang, Shouhong On the equations of the large-scale ocean. (English) Zbl 0766.35039 Nonlinearity 5, No. 5, 1007-1053 (1992). Reviewer: J.Bemelmans (Aachen) MSC: 35Q35 86A05 76D05 PDFBibTeX XMLCite \textit{J.-L. Lions} et al., Nonlinearity 5, No. 5, 1007--1053 (1992; Zbl 0766.35039) Full Text: DOI Link
Lions, Jacques Louis; Temam, Roger; Wang, Shouhong New formulations of the primitive equations of atmosphere and applications. (English) Zbl 0746.76019 Nonlinearity 5, No. 2, 237-288 (1992). MSC: 76B60 86A10 35Q35 37C70 PDFBibTeX XMLCite \textit{J. L. Lions} et al., Nonlinearity 5, No. 2, 237--288 (1992; Zbl 0746.76019) Full Text: DOI