Godard-Cadillac, Ludovic; Gravejat, Philippe; Smets, Didier Co-rotating vortices with \(N\) fold symmetry for the inviscid surface quasi-geostrophic equation. (English) Zbl 1514.35332 Indiana Univ. Math. J. 72, No. 2, 603-650 (2023). MSC: 35Q31 35Q86 76B47 76U60 86A05 35A15 35B40 PDFBibTeX XMLCite \textit{L. Godard-Cadillac} et al., Indiana Univ. Math. J. 72, No. 2, 603--650 (2023; Zbl 1514.35332) Full Text: DOI arXiv
Hassainia, Zineb; Wheeler, Miles H. Multipole vortex patch equilibria for active scalar equations. (English) Zbl 1502.35095 SIAM J. Math. Anal. 54, No. 6, 6054-6095 (2022). MSC: 35Q31 35Q86 76B47 76U05 35B65 86A05 PDFBibTeX XMLCite \textit{Z. Hassainia} and \textit{M. H. Wheeler}, SIAM J. Math. Anal. 54, No. 6, 6054--6095 (2022; Zbl 1502.35095) Full Text: DOI arXiv
Hastermann, Gottfried; Reinhardt, Maria; Klein, Rupert; Reich, Sebastian Balanced data assimilation for highly oscillatory mechanical systems. (English) Zbl 1472.65007 Commun. Appl. Math. Comput. Sci. 16, No. 1, 119-154 (2021). MSC: 65C05 62M20 93E11 62F15 86A22 PDFBibTeX XMLCite \textit{G. Hastermann} et al., Commun. Appl. Math. Comput. Sci. 16, No. 1, 119--154 (2021; Zbl 1472.65007) Full Text: DOI arXiv
Bensid, Sabri; Kaid, Zineb Multiple stationary solutions of parabolic problem with discontinuous nonlinearities and their stability. (English) Zbl 1461.35138 Complex Var. Elliptic Equ. 66, No. 3, 487-506 (2021). MSC: 35K86 35B35 35P30 35K58 35R70 86A10 PDFBibTeX XMLCite \textit{S. Bensid} and \textit{Z. Kaid}, Complex Var. Elliptic Equ. 66, No. 3, 487--506 (2021; Zbl 1461.35138) Full Text: DOI
Cao, Yining; Jia, Chuck; Temam, Roger; Tribbia, Joseph Mathematical analysis of a cloud resolving model including the ice microphysics. (English) Zbl 1462.35403 Discrete Contin. Dyn. Syst. 41, No. 1, 131-167 (2021). MSC: 35Q86 35K86 49J40 76B15 35K55 86A10 PDFBibTeX XMLCite \textit{Y. Cao} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 131--167 (2021; Zbl 1462.35403) Full Text: DOI
Masur, G. T.; Oliver, M. Optimal balance for rotating shallow water in primitive variables. (English) Zbl 1482.86012 Geophys. Astrophys. Fluid Dyn. 114, No. 4-5, 429-452 (2020). MSC: 86A05 76U05 86A10 PDFBibTeX XMLCite \textit{G. T. Masur} and \textit{M. Oliver}, Geophys. Astrophys. Fluid Dyn. 114, No. 4--5, 429--452 (2020; Zbl 1482.86012) Full Text: DOI
Dritschel, David G.; Jalali, Mohammad Reza On the regularity of the Green-Naghdi equations for a rotating shallow fluid layer. (English) Zbl 1415.86005 J. Fluid Mech. 865, 100-136 (2019); ibid. 900, Paper No. E2, 3 p. (2020). MSC: 86A05 86A10 76U05 PDFBibTeX XMLCite \textit{D. G. Dritschel} and \textit{M. R. Jalali}, J. Fluid Mech. 865, 100--136 (2019; Zbl 1415.86005) Full Text: DOI
Olsthoorn, Jason; Dalziel, Stuart B. Vortex-ring-induced stratified mixing: mixing model. (English) Zbl 1419.86012 J. Fluid Mech. 837, 129-146 (2018). MSC: 86A05 76D17 76D50 PDFBibTeX XMLCite \textit{J. Olsthoorn} and \textit{S. B. Dalziel}, J. Fluid Mech. 837, 129--146 (2018; Zbl 1419.86012) Full Text: DOI Link
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
Scase, Matthew M.; Terry, H. L. Spherical vortices in rotating fluids. (English) Zbl 1404.76064 J. Fluid Mech. 846, Paper No. R4, 12 p. (2018). MSC: 76B47 76U05 76E30 76D10 86A05 86A10 PDFBibTeX XMLCite \textit{M. M. Scase} and \textit{H. L. Terry}, J. Fluid Mech. 846, Paper No. R4, 12 p. (2018; Zbl 1404.76064) Full Text: DOI Link
Brzeźniak, Zdzisław; Goldys, Beniamin; Le Gia, Q. T. Random attractors for the stochastic Navier-Stokes equations on the 2D unit sphere. (English) Zbl 1390.35260 J. Math. Fluid Mech. 20, No. 1, 227-253 (2018). MSC: 35Q35 35B41 35R60 35B40 76D05 76U05 86A05 76M35 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., J. Math. Fluid Mech. 20, No. 1, 227--253 (2018; Zbl 1390.35260) Full Text: DOI arXiv
Bensid, Sabri; Ildefonso Díaz, Jesús Stability results for discontinuous nonlinear elliptic and parabolic problems with a S-shaped bifurcation branch of stationary solutions. (English) Zbl 1359.35009 Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 1757-1778 (2017). MSC: 35B35 35J61 35P30 35K58 86A10 PDFBibTeX XMLCite \textit{S. Bensid} and \textit{J. Ildefonso Díaz}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 1757--1778 (2017; Zbl 1359.35009) Full Text: DOI
Temam, Roger; Wang, Xiaoyan Numerical approximation of a variational inequality related to the humid atmosphere. (English) Zbl 1371.35225 SIAM J. Numer. Anal. 55, No. 1, 217-239 (2017). Reviewer: Cheng He (Beijing) MSC: 35Q35 65M06 65M12 76D03 86A10 PDFBibTeX XMLCite \textit{R. Temam} and \textit{X. Wang}, SIAM J. Numer. Anal. 55, No. 1, 217--239 (2017; Zbl 1371.35225) Full Text: DOI
Hmidi, Taoufik; Mateu, Joan Existence of corotating and counter-rotating vortex pairs for active scalar equations. (English) Zbl 1360.35157 Commun. Math. Phys. 350, No. 2, 699-747 (2017). MSC: 35Q31 76B47 76U05 35B65 35Q86 86A05 PDFBibTeX XMLCite \textit{T. Hmidi} and \textit{J. Mateu}, Commun. Math. Phys. 350, No. 2, 699--747 (2017; Zbl 1360.35157) Full Text: DOI arXiv
Hur, Vera Mikyoung; Livesay, Michael R. On the recovery of traveling water waves with vorticity from the pressure at the bed. (English) Zbl 1408.76069 Eur. J. Mech., B, Fluids 60, 99-109 (2016). MSC: 76B15 76B47 86A05 PDFBibTeX XMLCite \textit{V. M. Hur} and \textit{M. R. Livesay}, Eur. J. Mech., B, Fluids 60, 99--109 (2016; Zbl 1408.76069) Full Text: DOI arXiv
Gorban, Nataliia V.; Gluzman, Mark O.; Kasyanov, Pavlo O.; Tkachuk, Alla M. Long-time behavior of state functions for Badyko models. (English) Zbl 1364.35373 Sadovnichiy, Victor A. (ed.) et al., Advances in dynamical systems and control. Cham: Springer (ISBN 978-3-319-40672-5/hbk; 978-3-319-40673-2/ebook). Studies in Systems, Decision and Control 69, 351-359 (2016). MSC: 35Q86 35Q35 35K57 86A10 35B41 35B40 35D30 35B65 PDFBibTeX XMLCite \textit{N. V. Gorban} et al., Stud. Syst. Decis. Control 69, 351--359 (2016; Zbl 1364.35373) Full Text: DOI Link
Ragone, Francesco; Badin, Gualtiero A study of surface semi-geostrophic turbulence: freely decaying dynamics. (English) Zbl 1381.86014 J. Fluid Mech. 792, 740-774 (2016). MSC: 86A05 86A10 76Fxx PDFBibTeX XMLCite \textit{F. Ragone} and \textit{G. Badin}, J. Fluid Mech. 792, 740--774 (2016; Zbl 1381.86014) Full Text: DOI arXiv
Temam, Roger; Wu, Kakuen John Formulation of the equations of the humid atmosphere in the context of variational inequalities. (English) Zbl 1321.35175 J. Funct. Anal. 269, No. 7, 2187-2221 (2015). MSC: 35Q35 35B30 76D03 86A10 PDFBibTeX XMLCite \textit{R. Temam} and \textit{K. J. Wu}, J. Funct. Anal. 269, No. 7, 2187--2221 (2015; Zbl 1321.35175) Full Text: DOI
Oliver, Marcel; Vasylkevych, Sergiy Generalized LSG models with spatially varying Coriolis parameter. (English) Zbl 1521.86026 Geophys. Astrophys. Fluid Dyn. 107, No. 3, 259-276 (2013). MSC: 86A10 86A05 PDFBibTeX XMLCite \textit{M. Oliver} and \textit{S. Vasylkevych}, Geophys. Astrophys. Fluid Dyn. 107, No. 3, 259--276 (2013; Zbl 1521.86026) Full Text: DOI
Coti Zelati, Michele; Frémond, Michel; Temam, Roger; Tribbia, Joseph The equations of the atmosphere with humidity and saturation: uniqueness and physical bounds. (English) Zbl 1286.86013 Physica D 264, 49-65 (2013). MSC: 86A10 35Q86 PDFBibTeX XMLCite \textit{M. Coti Zelati} et al., Physica D 264, 49--65 (2013; Zbl 1286.86013) Full Text: DOI
Barbera, E.; Currò, C.; Valenti, G. A hyperbolic model for the effects of urbanization on air pollution. (English) Zbl 1193.76027 Appl. Math. Modelling 34, No. 8, 2192-2202 (2010). MSC: 76B25 86A10 76T99 PDFBibTeX XMLCite \textit{E. Barbera} et al., Appl. Math. Modelling 34, No. 8, 2192--2202 (2010; Zbl 1193.76027) Full Text: DOI
Cullen, Mike; Gangbo, Wilfrid; Pisante, Giovanni The semigeostrophic equations discretized in reference and dual variables. (English) Zbl 1139.86003 Arch. Ration. Mech. Anal. 185, No. 2, 341-363 (2007). Reviewer: Nina Shokina (Freiburg) MSC: 86A10 86A05 35Q35 PDFBibTeX XMLCite \textit{M. Cullen} et al., Arch. Ration. Mech. Anal. 185, No. 2, 341--363 (2007; Zbl 1139.86003) Full Text: DOI
Smith, Robert K.; Dritschel, David G. Revisiting the Rossby-Haurwitz wave test case with contour advection. (English) Zbl 1160.86305 J. Comput. Phys. 217, No. 2, 473-484 (2006). MSC: 86A10 65M06 76B65 86A05 PDFBibTeX XMLCite \textit{R. K. Smith} and \textit{D. G. Dritschel}, J. Comput. Phys. 217, No. 2, 473--484 (2006; Zbl 1160.86305) Full Text: DOI
Plougonven, R.; Zeitlin, V. Lagrangian approach to geostrophic adjustment of frontal anomalies in a stratified fluid. (English) Zbl 1206.86027 Geophys. Astrophys. Fluid Dyn. 99, No. 2, 101-135 (2005). MSC: 86A10 76B60 76B70 76U05 PDFBibTeX XMLCite \textit{R. Plougonven} and \textit{V. Zeitlin}, Geophys. Astrophys. Fluid Dyn. 99, No. 2, 101--135 (2005; Zbl 1206.86027) Full Text: DOI
Le Sommer, J.; Medvedev, S. B.; Plougonven, R.; Zeitlin, V. Singularity formation during relaxation of jets and fronts toward the state of geostrophic equilibrium. (English) Zbl 1222.86004 Commun. Nonlinear Sci. Numer. Simul. 8, No. 3-4, 415-442 (2003). MSC: 86A05 76B03 76B10 PDFBibTeX XMLCite \textit{J. Le Sommer} et al., Commun. Nonlinear Sci. Numer. Simul. 8, No. 3--4, 415--442 (2003; Zbl 1222.86004) Full Text: DOI
Yang, Xin-She Density-driven compaction and temperature evolution in porous media. (English) Zbl 1024.76057 Appl. Math. Comput. 126, No. 2-3, 243-254 (2002). MSC: 76S05 80A20 86A60 PDFBibTeX XMLCite \textit{X.-S. Yang}, Appl. Math. Comput. 126, No. 2--3, 243--254 (2002; Zbl 1024.76057) Full Text: DOI
Vanneste, J.; Bokhove, O. Dirac-bracket approach to nearly geostrophic Hamiltonian balanced models. (English) Zbl 0995.86002 Physica D 164, No. 3-4, 152-167 (2002). MSC: 86A05 PDFBibTeX XMLCite \textit{J. Vanneste} and \textit{O. Bokhove}, Physica D 164, No. 3--4, 152--167 (2002; Zbl 0995.86002) Full Text: DOI
Baigent, Steve; Norbury, John Two discrete models for semi-geostrophic dynamics. (English) Zbl 1194.86012 Physica D 109, No. 3-4, 333-342 (1997). MSC: 86A10 PDFBibTeX XMLCite \textit{S. Baigent} and \textit{J. Norbury}, Physica D 109, No. 3--4, 333--342 (1997; Zbl 1194.86012) Full Text: DOI
Baigent, Steve; Norbury, John Two discrete models for semi-geostrophic dynamics. (English) Zbl 0925.76047 Physica D 109, No. 3-4, 333-342 (1997). MSC: 76-XX 86A10 PDFBibTeX XMLCite \textit{S. Baigent} and \textit{J. Norbury}, Physica D 109, No. 3--4, 333--342 (1997; Zbl 0925.76047) Full Text: DOI
Allen, J. S.; Holm, Darryl D. Extended-geostrophic Hamiltonian models for rotating shallow water motion. (English) Zbl 0899.76080 Physica D 98, No. 2-4, 229-248 (1996). MSC: 76B15 76U05 37N99 86A05 PDFBibTeX XMLCite \textit{J. S. Allen} and \textit{D. D. Holm}, Physica D 98, No. 2--4, 229--248 (1996; Zbl 0899.76080) Full Text: DOI
Salmon, Rick Large-scale semigeostrophic equations for use in ocean circulation models. (English) Zbl 0871.76093 J. Fluid Mech. 318, 85-105 (1996). MSC: 76U05 86A05 37J99 PDFBibTeX XMLCite \textit{R. Salmon}, J. Fluid Mech. 318, 85--105 (1996; Zbl 0871.76093) Full Text: DOI
Roulstone, I.; Norbury, J. A Hamiltonian structure with contact geometry for the semi-geostrophic equations. (English) Zbl 0815.76022 J. Fluid Mech. 272, 211-233 (1994). MSC: 76B99 37J99 86A10 PDFBibTeX XMLCite \textit{I. Roulstone} and \textit{J. Norbury}, J. Fluid Mech. 272, 211--233 (1994; Zbl 0815.76022) Full Text: DOI