Pudykiewicz, Janusz A.; Clancy, Colm Convection experiments with the exponential time integration scheme. (English) Zbl 07524798 J. Comput. Phys. 449, Article ID 110803, 17 p. (2022). MSC: 65Lxx 65Mxx 86Axx PDF BibTeX XML Cite \textit{J. A. Pudykiewicz} and \textit{C. Clancy}, J. Comput. Phys. 449, Article ID 110803, 17 p. (2022; Zbl 07524798) Full Text: DOI OpenURL
Baldauf, Michael A horizontally explicit, vertically implicit (HEVI) discontinuous Galerkin scheme for the 2-dimensional Euler and Navier-Stokes equations using terrain-following coordinates. (English) Zbl 07516454 J. Comput. Phys. 446, Article ID 110635, 31 p. (2021). MSC: 65Mxx 76Mxx 86Axx PDF BibTeX XML Cite \textit{M. Baldauf}, J. Comput. Phys. 446, Article ID 110635, 31 p. (2021; Zbl 07516454) Full Text: DOI OpenURL
Lee, David An energetically balanced, quasi-Newton integrator for non-hydrostatic vertical atmospheric dynamics. (English) Zbl 07500725 J. Comput. Phys. 429, Article ID 109988, 19 p. (2021). MSC: 65Mxx 86Axx 76Mxx PDF BibTeX XML Cite \textit{D. Lee}, J. Comput. Phys. 429, Article ID 109988, 19 p. (2021; Zbl 07500725) Full Text: DOI OpenURL
Zhang, Hui Energy conservation for 3D tropical climate model in periodic domains. (English) Zbl 1477.86012 J. Math. 2021, Article ID 9922077, 4 p. (2021). MSC: 86A08 35Q86 35Q31 PDF BibTeX XML Cite \textit{H. Zhang}, J. Math. 2021, Article ID 9922077, 4 p. (2021; Zbl 1477.86012) Full Text: DOI OpenURL
Xu, Fei; Zhang, Yong; Li, Fengquan On the symmetry and recovery of steady continuously stratified periodic water waves. (English) Zbl 1477.35275 J. Math. Fluid Mech. 23, No. 4, Paper No. 90, 13 p. (2021). MSC: 35Q86 35Q31 76B70 86A05 35J25 35J60 35A01 PDF BibTeX XML Cite \textit{F. Xu} et al., J. Math. Fluid Mech. 23, No. 4, Paper No. 90, 13 p. (2021; Zbl 1477.35275) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{P. Mu} and \textit{Q. Ju}, Appl. Anal. 100, No. 11, 2405--2417 (2021; Zbl 1479.35690) Full Text: DOI OpenURL
Cullen, Michael; Feldman, Mikhail; Tudorascu, Adrian From Euler to the semi-geostrophic system: convergence under uniform convexity. (English) Zbl 07402083 Methods Appl. Anal. 27, No. 4, 375-386 (2021). MSC: 35Q31 35Q86 35D35 35G25 86A05 76U60 PDF BibTeX XML Cite \textit{M. Cullen} et al., Methods Appl. Anal. 27, No. 4, 375--386 (2021; Zbl 07402083) Full Text: DOI OpenURL
Fan, Lili; Shen, Shuge; Chen, Yingying A cylindrical coordinates approach concerning the Antarctic Circumpolar Current. (English) Zbl 07396151 Monatsh. Math. 196, No. 2, 269-279 (2021). MSC: 35Q86 35Q31 35Q35 76D50 76U60 86A05 35R35 PDF BibTeX XML Cite \textit{L. Fan} et al., Monatsh. Math. 196, No. 2, 269--279 (2021; Zbl 07396151) Full Text: DOI OpenURL
Ao, Weiwei; Dávila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation. (English) Zbl 1477.35153 Trans. Am. Math. Soc. 374, No. 9, 6665-6689 (2021). MSC: 35Q35 35Q31 35Q86 35J61 35C07 35B25 76B47 76U60 76X05 86A05 26A33 35R11 PDF BibTeX XML Cite \textit{W. Ao} et al., Trans. Am. Math. Soc. 374, No. 9, 6665--6689 (2021; Zbl 1477.35153) Full Text: DOI arXiv OpenURL
Cao, Daomin; Qin, Guolin; Zhan, Weicheng; Zou, Changjun Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation. (English) Zbl 1476.35280 J. Differ. Equations 299, 429-462 (2021). MSC: 35Q86 35Q31 86A05 76U60 76B47 35C07 35A01 35A02 PDF BibTeX XML Cite \textit{D. Cao} et al., J. Differ. Equations 299, 429--462 (2021; Zbl 1476.35280) Full Text: DOI arXiv OpenURL
Březina, Jan; Mácha, Václav Low stratification of the complete Euler system. (English) Zbl 1467.35247 J. Evol. Equ. 21, No. 1, 735-761 (2021). MSC: 35Q31 76Q05 76N10 86A10 35R06 PDF BibTeX XML Cite \textit{J. Březina} and \textit{V. Mácha}, J. Evol. Equ. 21, No. 1, 735--761 (2021; Zbl 1467.35247) Full Text: DOI arXiv OpenURL
Graf, Gian Michele; Jud, Hansueli; Tauber, Clément Topology in shallow-water waves: a violation of bulk-edge correspondence. (English) Zbl 1467.35321 Commun. Math. Phys. 383, No. 2, 731-761 (2021). MSC: 35Q86 35Q31 86A05 76B15 76U60 PDF BibTeX XML Cite \textit{G. M. Graf} et al., Commun. Math. Phys. 383, No. 2, 731--761 (2021; Zbl 1467.35321) Full Text: DOI arXiv OpenURL
Martin, Calin Iulian Geophysical water flows with constant vorticity and centripetal terms. (English) Zbl 1464.35201 Ann. Mat. Pura Appl. (4) 200, No. 1, 101-116 (2021). MSC: 35Q31 35Q35 35Q86 86A05 76B15 76U05 PDF BibTeX XML Cite \textit{C. I. Martin}, Ann. Mat. Pura Appl. (4) 200, No. 1, 101--116 (2021; Zbl 1464.35201) Full Text: DOI OpenURL
Constantin, Adrian; Crowdy, Darren G.; Krishnamurthy, Vikas S.; Wheeler, Miles H. Stuart-type polar vortices on a rotating sphere. (English) Zbl 1454.86007 Discrete Contin. Dyn. Syst. 41, No. 1, 201-215 (2021). MSC: 86A10 76B47 35Q35 30C20 35J15 PDF BibTeX XML Cite \textit{A. Constantin} et al., Discrete Contin. Dyn. Syst. 41, No. 1, 201--215 (2021; Zbl 1454.86007) Full Text: DOI OpenURL
Novruzov, Emil On propagation of linear waves for model of equatorial wave-current interactions. (English) Zbl 1458.35317 J. Differ. Equations 279, 63-75 (2021). MSC: 35Q31 35Q86 76U60 86A05 37N10 37K06 PDF BibTeX XML Cite \textit{E. Novruzov}, J. Differ. Equations 279, 63--75 (2021; Zbl 1458.35317) Full Text: DOI OpenURL
Chu, Jifeng; Yang, Yanjuan A cylindrical coordinates approach to constant vorticity geophysical waves with centripetal forces at arbitrary latitude. (English) Zbl 1458.35311 J. Differ. Equations 279, 46-62 (2021). MSC: 35Q31 35Q86 35J60 76B15 76U60 35C07 76B47 76B45 86A05 PDF BibTeX XML Cite \textit{J. Chu} and \textit{Y. Yang}, J. Differ. Equations 279, 46--62 (2021; Zbl 1458.35311) Full Text: DOI OpenURL
Braginsky, Alexander Vortex motion of a continuous medium depending on the pressure change. (English) Zbl 1476.76061 PTEP, Prog. Theor. Exper. Phys. 2020, No. 6, Article ID 063J03, 15 p. (2020). MSC: 76N15 76F25 76U60 76-10 86A10 PDF BibTeX XML Cite \textit{A. Braginsky}, PTEP, Prog. Theor. Exper. Phys. 2020, No. 6, Article ID 063J03, 15 p. (2020; Zbl 1476.76061) Full Text: DOI OpenURL
Hunter, John K.; Shu, Jingyang; Zhang, Qingtian Two-front solutions of the SQG equation and its generalizations. (English) Zbl 1464.35227 Commun. Math. Sci. 18, No. 6, 1685-1741 (2020). MSC: 35Q35 35Q86 35Q31 35B65 76B03 86A10 PDF BibTeX XML Cite \textit{J. K. Hunter} et al., Commun. Math. Sci. 18, No. 6, 1685--1741 (2020; Zbl 1464.35227) Full Text: DOI arXiv OpenURL
Zhang, Hui Energy conservation for the 3D tropical climate model in bounded domains. (English) Zbl 1462.35409 J. Math. Anal. Appl. 492, No. 1, Article ID 124424, 10 p. (2020). MSC: 35Q86 35Q31 86A08 35D30 PDF BibTeX XML Cite \textit{H. Zhang}, J. Math. Anal. Appl. 492, No. 1, Article ID 124424, 10 p. (2020; Zbl 1462.35409) Full Text: DOI OpenURL
Lee, D.; Palha, A. A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. (English) Zbl 1453.86025 J. Comput. Phys. 401, Article ID 108993, 28 p. (2020). MSC: 86A10 65M60 76N15 76M10 PDF BibTeX XML Cite \textit{D. Lee} and \textit{A. Palha}, J. Comput. Phys. 401, Article ID 108993, 28 p. (2020; Zbl 1453.86025) Full Text: DOI arXiv OpenURL
Kiselev, Alexander A. Small scale creation in active scalars. (English) Zbl 1452.35139 Berselli, Luigi C. (ed.) et al., Progress in mathematical fluid dynamics. Cetraro, Italy, June 17–21, 2019. Lecture notes given at the summer school. Cham: Springer. Lect. Notes Math. 2272, 125-161 (2020). MSC: 35Q31 76U60 35B65 86A05 35Q86 PDF BibTeX XML Cite \textit{A. A. Kiselev}, Lect. Notes Math. 2272, 125--161 (2020; Zbl 1452.35139) Full Text: DOI OpenURL
Ho, Choryin; Yuen, Manwai Blowup for projected 2-dimensional \(C^2\) solutions of compressible Euler equations with Coriolis force. (English) Zbl 1451.35121 Nonlinear Anal., Real World Appl. 55, Article ID 103143, 9 p. (2020). MSC: 35Q31 35Q86 86A05 76N06 76U60 35B44 PDF BibTeX XML Cite \textit{C. Ho} and \textit{M. Yuen}, Nonlinear Anal., Real World Appl. 55, Article ID 103143, 9 p. (2020; Zbl 1451.35121) Full Text: DOI OpenURL
Aleman, A.; Constantin, A. On the decrease of kinetic energy with depth in wave-current interactions. (English) Zbl 1450.35256 Math. Ann. 378, No. 3-4, 853-872 (2020). MSC: 35Q86 35Q35 86A05 76B15 35Q31 PDF BibTeX XML Cite \textit{A. Aleman} and \textit{A. Constantin}, Math. Ann. 378, No. 3--4, 853--872 (2020; Zbl 1450.35256) Full Text: DOI OpenURL
Chu, Jifeng; Yang, Yanjuan Constant vorticity water flows in the equatorial \(\beta\)-plane approximation with centripetal forces. (English) Zbl 1448.35509 J. Differ. Equations 269, No. 11, 9336-9347 (2020). MSC: 35Q86 86A05 35Q31 35J60 76B15 PDF BibTeX XML Cite \textit{J. Chu} and \textit{Y. Yang}, J. Differ. Equations 269, No. 11, 9336--9347 (2020; Zbl 1448.35509) Full Text: DOI OpenURL
Wei, Long Wave breaking, global existence and persistent decay for the Gurevich-Zybin system. (English) Zbl 1448.35505 J. Math. Fluid Mech. 22, No. 4, Paper No. 47, 14 p. (2020). MSC: 35Q75 35Q86 35Q31 35Q60 35L60 35B44 83C35 86A05 PDF BibTeX XML Cite \textit{L. Wei}, J. Math. Fluid Mech. 22, No. 4, Paper No. 47, 14 p. (2020; Zbl 1448.35505) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{D. Henry} and \textit{C. I. Martin}, Nonlinearity 33, No. 8, 3889--3904 (2020; Zbl 1447.35329) Full Text: DOI OpenURL
Su, Qingtang Partial justification of the Peregrine soliton from the 2D full water waves. (English) Zbl 1442.35318 Arch. Ration. Mech. Anal. 237, No. 3, 1517-1613 (2020). MSC: 35Q31 76B25 35B40 35Q55 35Q86 86A05 PDF BibTeX XML Cite \textit{Q. Su}, Arch. Ration. Mech. Anal. 237, No. 3, 1517--1613 (2020; Zbl 1442.35318) Full Text: DOI arXiv OpenURL
Martin, Calin Iulian; Quirchmayr, Ronald A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. (English) Zbl 1440.35256 Monatsh. Math. 192, No. 2, 401-407 (2020). MSC: 35Q31 35Q35 35Q86 86A05 76U60 PDF BibTeX XML Cite \textit{C. I. Martin} and \textit{R. Quirchmayr}, Monatsh. Math. 192, No. 2, 401--407 (2020; Zbl 1440.35256) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Lannes}, Nonlinearity 33, No. 5, R1--R57 (2020; Zbl 1442.35462) Full Text: DOI arXiv OpenURL
Elgindi, Tarek M.; Masmoudi, Nader \(L^\infty\) ill-posedness for a class of equations arising in hydrodynamics. (English) Zbl 07170065 Arch. Ration. Mech. Anal. 235, No. 3, 1979-2025 (2020). MSC: 35Q31 35R25 76S05 35Q86 86A05 76U60 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{N. Masmoudi}, Arch. Ration. Mech. Anal. 235, No. 3, 1979--2025 (2020; Zbl 07170065) Full Text: DOI OpenURL
Ionescu-Kruse, Delia Exponential profiles producing genuine three-dimensional nonlinear flows relevant for equatorial ocean dynamics. (English) Zbl 1433.35252 J. Differ. Equations 268, No. 4, 1326-1344 (2020). MSC: 35Q31 35Q86 76U60 76B15 86A05 PDF BibTeX XML Cite \textit{D. Ionescu-Kruse}, J. Differ. Equations 268, No. 4, 1326--1344 (2020; Zbl 1433.35252) Full Text: DOI OpenURL
Allen, T.; Zerroukat, M. A semi-Lagrangian semi-implicit immersed boundary method for atmospheric flow over complex terrain. (English) Zbl 1453.86021 J. Comput. Phys. 397, Article ID 108857, 13 p. (2019). MSC: 86A10 65M22 86-08 PDF BibTeX XML Cite \textit{T. Allen} and \textit{M. Zerroukat}, J. Comput. Phys. 397, Article ID 108857, 13 p. (2019; Zbl 1453.86021) Full Text: DOI OpenURL
Hu, Tianqiao; Liu, Yue On the modeling of equatorial shallow-water waves with the Coriolis effect. (English) Zbl 1451.35004 Physica D 391, 87-110 (2019). MSC: 35A02 35A01 35B44 86A05 37N10 35Q31 PDF BibTeX XML Cite \textit{T. Hu} and \textit{Y. Liu}, Physica D 391, 87--110 (2019; Zbl 1451.35004) Full Text: DOI OpenURL
Bridges, Thomas J. The pressure boundary condition and the pressure as Lagrangian for water waves. (English) Zbl 1458.76012 Water Waves 1, No. 1, 131-143 (2019). MSC: 76B15 76M30 76B47 86A05 PDF BibTeX XML Cite \textit{T. J. Bridges}, Water Waves 1, No. 1, 131--143 (2019; Zbl 1458.76012) Full Text: DOI OpenURL
Bauer, Werner; Gay-Balmaz, François Variational discretization framework for geophysical flow models. (English) Zbl 1458.76076 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 523-531 (2019). MSC: 76M30 86A04 PDF BibTeX XML Cite \textit{W. Bauer} and \textit{F. Gay-Balmaz}, Lect. Notes Comput. Sci. 11712, 523--531 (2019; Zbl 1458.76076) Full Text: DOI OpenURL
Cotter, Colin J.; Cullen, Michael John Priestley Particle relabelling symmetries and Noether’s theorem for vertical slice models. (English) Zbl 1435.35388 J. Geom. Mech. 11, No. 2, 139-151 (2019). MSC: 35Q86 35Q31 86A10 76U05 76U60 35A15 37K06 PDF BibTeX XML Cite \textit{C. J. Cotter} and \textit{M. J. P. Cullen}, J. Geom. Mech. 11, No. 2, 139--151 (2019; Zbl 1435.35388) Full Text: DOI arXiv OpenURL
Tan, Changhui Singularity formation for a fluid mechanics model with nonlocal velocity. (English) Zbl 1433.35298 Commun. Math. Sci. 17, No. 7, 1779-1794 (2019). MSC: 35Q35 35Q92 35R11 76S05 35Q86 35B65 92C15 86A10 PDF BibTeX XML Cite \textit{C. Tan}, Commun. Math. Sci. 17, No. 7, 1779--1794 (2019; Zbl 1433.35298) Full Text: DOI arXiv OpenURL
Liu, Jian-Guo; Pego, Robert L.; Slepčev, Dejan Least action principles for incompressible flows and geodesics between shapes. (English) Zbl 1428.35376 Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 179, 43 p. (2019). MSC: 35Q35 65D18 35J96 58E10 53C22 76B45 86A05 35R35 PDF BibTeX XML Cite \textit{J.-G. Liu} et al., Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 179, 43 p. (2019; Zbl 1428.35376) Full Text: DOI arXiv OpenURL
Agélas, Léo A new path to the non blow-up of incompressible flows. (English) Zbl 1433.35214 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 6, 1503-1537 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 35Q31 35B44 76B03 86A10 PDF BibTeX XML Cite \textit{L. Agélas}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 6, 1503--1537 (2019; Zbl 1433.35214) Full Text: DOI HAL OpenURL
Kataoka, Takeshi; Akylas, T. R. On mean flow generation due to oblique reflection of internal waves at a slope. (English) Zbl 1418.35296 Stud. Appl. Math. 142, No. 4, 419-432 (2019). MSC: 35Q31 76B15 86A05 PDF BibTeX XML Cite \textit{T. Kataoka} and \textit{T. R. Akylas}, Stud. Appl. Math. 142, No. 4, 419--432 (2019; Zbl 1418.35296) Full Text: DOI OpenURL
Escalante, C.; Fernández-Nieto, E. D.; Morales de Luna, T.; Castro, M. J. An efficient two-layer non-hydrostatic approach for dispersive water waves. (English) Zbl 1444.76032 J. Sci. Comput. 79, No. 1, 273-320 (2019). MSC: 76B15 86A05 76M12 76M20 35Q31 PDF BibTeX XML Cite \textit{C. Escalante} et al., J. Sci. Comput. 79, No. 1, 273--320 (2019; Zbl 1444.76032) Full Text: DOI OpenURL
Córdoba, Diego; Gómez-Serrano, Javier; Ionescu, Alexandru D. Global solutions for the generalized SQG patch equation. (English) Zbl 1420.35424 Arch. Ration. Mech. Anal. 233, No. 3, 1211-1251 (2019). MSC: 35Q86 35Q31 35B35 86A05 76U05 35B10 PDF BibTeX XML Cite \textit{D. Córdoba} et al., Arch. Ration. Mech. Anal. 233, No. 3, 1211--1251 (2019; Zbl 1420.35424) Full Text: DOI arXiv OpenURL
Dekeyser, Justin Asymptotics of steady vortex pair in the lake equation. (Asymptotic of steady vortex pair in the lake equation.) (English) Zbl 1445.76030 SIAM J. Math. Anal. 51, No. 2, 1209-1237 (2019). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76B47 76M45 35Q31 86A05 PDF BibTeX XML Cite \textit{J. Dekeyser}, SIAM J. Math. Anal. 51, No. 2, 1209--1237 (2019; Zbl 1445.76030) Full Text: DOI arXiv OpenURL
Henry, D.; Martin, C. I. Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification. (English) Zbl 1412.35241 J. Differ. Equations 266, No. 10, 6788-6808 (2019). MSC: 35Q31 35Q35 35Q86 35R35 76E20 76U05 86A05 PDF BibTeX XML Cite \textit{D. Henry} and \textit{C. I. Martin}, J. Differ. Equations 266, No. 10, 6788--6808 (2019; Zbl 1412.35241) Full Text: DOI OpenURL
Yu, Huan; Zheng, Xiaoxin; Jiu, Quansen Remarks on well-posedness of the generalized surface quasi-geostrophic equation. (English) Zbl 1410.35148 Arch. Ration. Mech. Anal. 232, No. 1, 265-301 (2019). MSC: 35Q35 35Q31 76B45 35Q86 86A05 PDF BibTeX XML Cite \textit{H. Yu} et al., Arch. Ration. Mech. Anal. 232, No. 1, 265--301 (2019; Zbl 1410.35148) Full Text: DOI arXiv OpenURL
Gómez-Serrano, Javier On the existence of stationary patches. (English) Zbl 1408.35192 Adv. Math. 343, 110-140 (2019). MSC: 35Q86 35B32 35Q31 35D30 86A05 PDF BibTeX XML Cite \textit{J. Gómez-Serrano}, Adv. Math. 343, 110--140 (2019; Zbl 1408.35192) Full Text: DOI arXiv OpenURL
Haidar, Mohammad; El Arwadi, Toufic; Israwi, Samer Existence of a regular solution for 1D Green-Naghdi equations with surface tension at a large time instant. (English) Zbl 07509592 Bound. Value Probl. 2018, Paper No. 136, 20 p. (2018). MSC: 76B15 35Q35 35B25 86A05 35Q05 PDF BibTeX XML Cite \textit{M. Haidar} et al., Bound. Value Probl. 2018, Paper No. 136, 20 p. (2018; Zbl 07509592) Full Text: DOI OpenURL
Shishmarev, Konstantin A.; Papin, Alexander A. Uniqueness of a solution of an ice plate oscillation problem in a channel. (English) Zbl 07325436 J. Sib. Fed. Univ., Math. Phys. 11, No. 4, 449-458 (2018). MSC: 76-XX 86-XX PDF BibTeX XML Cite \textit{K. A. Shishmarev} and \textit{A. A. Papin}, J. Sib. Fed. Univ., Math. Phys. 11, No. 4, 449--458 (2018; Zbl 07325436) Full Text: DOI MNR OpenURL
Kiselev, Alexander Small scales and singularity formation in fluid dynamics. (English) Zbl 1448.35398 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2363-2390 (2018). MSC: 35Q35 35Q31 76B03 35L67 35Q86 86A05 PDF BibTeX XML Cite \textit{A. Kiselev}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2363--2390 (2018; Zbl 1448.35398) Full Text: DOI arXiv OpenURL
de la Hoz, Francisco; Hassainia, Zineb; Hmidi, Taoufik Doubly connected V-states for the generalized surface quasi-geostrophic equations. (English) Zbl 1436.35277 Ammari, Kaïs (ed.) et al., Evolution equations. Long time behavior and control. Proceedings of the summer school, Université Savoie Mont Blanc, Chambéry, France, June 15–18, 2015. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 439, 90-117 (2018). MSC: 35Q35 76B03 35Q86 76W05 35B32 35Q31 86A05 35P30 33C10 PDF BibTeX XML Cite \textit{F. de la Hoz} et al., Lond. Math. Soc. Lect. Note Ser. 439, 90--117 (2018; Zbl 1436.35277) Full Text: DOI arXiv OpenURL
Badin, Gualtiero; Oliver, Marcel; Vasylkevych, Sergiy Geometric Lagrangian averaged Euler-Boussinesq and primitive equations. (English) Zbl 1407.76169 J. Phys. A, Math. Theor. 51, No. 45, Article ID 455501, 17 p. (2018). MSC: 76U05 76F45 86A05 86A10 76E20 35Q31 PDF BibTeX XML Cite \textit{G. Badin} et al., J. Phys. A, Math. Theor. 51, No. 45, Article ID 455501, 17 p. (2018; Zbl 1407.76169) Full Text: DOI arXiv OpenURL
Figalli, Alessio Global existence for the semigeostrophic equations via Sobolev estimates for Monge-Ampère. (English) Zbl 1406.35273 Farina, Alberto (ed.) et al., Partial differential equations and geometric measure theory. Cetraro, Italy, June 2–7, 2014. Lecture notes. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-74041-6/pbk; 978-3-319-74042-3/ebook). Lecture Notes in Mathematics 2211. CIME Foundation Subseries, 1-42 (2018). MSC: 35Q35 35Q86 86A10 76W05 76D05 35K96 PDF BibTeX XML Cite \textit{A. Figalli}, Lect. Notes Math. 2211, 1--42 (2018; Zbl 1406.35273) Full Text: DOI OpenURL
Fernández-Nieto, Enrique D.; Parisot, Martin; Penel, Yohan; Sainte-Marie, Jacques A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows. (English) Zbl 1408.35136 Commun. Math. Sci. 16, No. 5, 1169-1202 (2018). MSC: 35Q31 35B45 65M08 76B15 35Q86 86A05 76D05 35R35 PDF BibTeX XML Cite \textit{E. D. Fernández-Nieto} et al., Commun. Math. Sci. 16, No. 5, 1169--1202 (2018; Zbl 1408.35136) Full Text: DOI OpenURL
Meng, Xiong; Ryan, Jennifer K. Divided difference estimates and accuracy enhancement of discontinuous Galerkin methods for nonlinear symmetric systems of hyperbolic conservation laws. (English) Zbl 1412.65153 IMA J. Numer. Anal. 38, No. 1, 125-155 (2018). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M12 35L65 35Q31 86A10 PDF BibTeX XML Cite \textit{X. Meng} and \textit{J. K. Ryan}, IMA J. Numer. Anal. 38, No. 1, 125--155 (2018; Zbl 1412.65153) Full Text: DOI Link OpenURL
Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola; Totz, Nathan Global flows with invariant measures for the inviscid modified SQG equations. (English) Zbl 1406.35413 Stoch. Partial Differ. Equ., Anal. Comput. 6, No. 2, 184-210 (2018). MSC: 35Q86 86A10 35A01 35Q31 35R06 76B60 PDF BibTeX XML Cite \textit{A. R. Nahmod} et al., Stoch. Partial Differ. Equ., Anal. Comput. 6, No. 2, 184--210 (2018; Zbl 1406.35413) Full Text: DOI arXiv OpenURL
Bruell, Gabriele; Feireisl, Eduard On a singular limit for stratified compressible fluids. (English) Zbl 1406.35243 Nonlinear Anal., Real World Appl. 44, 334-346 (2018). MSC: 35Q31 76N10 35Q86 76B15 86A10 PDF BibTeX XML Cite \textit{G. Bruell} and \textit{E. Feireisl}, Nonlinear Anal., Real World Appl. 44, 334--346 (2018; Zbl 1406.35243) Full Text: DOI arXiv OpenURL
Quirchmayr, Ronald A steady, purely azimuthal flow model for the antarctic circumpolar current. (English) Zbl 1400.86003 Monatsh. Math. 187, No. 3, 565-572 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 86A05 35Q35 35Q86 PDF BibTeX XML Cite \textit{R. Quirchmayr}, Monatsh. Math. 187, No. 3, 565--572 (2018; Zbl 1400.86003) Full Text: DOI OpenURL
Gay-Balmaz, François; Holm, Darryl D. Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. (English) Zbl 1431.37068 J. Nonlinear Sci. 28, No. 3, 873-904 (2018). Reviewer: Božidar Jovanović (Beograd) MSC: 37N10 37K25 37H10 60H15 70G45 86A05 PDF BibTeX XML Cite \textit{F. Gay-Balmaz} and \textit{D. D. Holm}, J. Nonlinear Sci. 28, No. 3, 873--904 (2018; Zbl 1431.37068) Full Text: DOI arXiv Link OpenURL
Ibragimov, Ranis N. Effects of zonal flows on correlation between energy balance and energy conservation associated with nonlinear nonviscous atmospheric dynamics in a thin rotating spherical shell. (English) Zbl 1390.35247 Anal. Math. Phys. 8, No. 1, 11-24 (2018). MSC: 35Q31 86A10 86A05 76U05 76B60 76B15 PDF BibTeX XML Cite \textit{R. N. Ibragimov}, Anal. Math. Phys. 8, No. 1, 11--24 (2018; Zbl 1390.35247) Full Text: DOI OpenURL
Ionescu-Kruse, Delia A three-dimensional autonomous nonlinear dynamical system modelling equatorial ocean flows. (English) Zbl 1386.35403 J. Differ. Equations 264, No. 7, 4650-4668 (2018). MSC: 35Q86 86A05 35Q31 76U05 76B15 35R35 PDF BibTeX XML Cite \textit{D. Ionescu-Kruse}, J. Differ. Equations 264, No. 7, 4650--4668 (2018; Zbl 1386.35403) Full Text: DOI OpenURL
Córdoba, Antonio; Córdoba, Diego; Gancedo, Francisco Uniqueness for SQG patch solutions. (English) Zbl 1390.35244 Trans. Am. Math. Soc., Ser. B 5, 1-31 (2018). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q31 86A05 35R35 76B03 76B07 PDF BibTeX XML Cite \textit{A. Córdoba} et al., Trans. Am. Math. Soc., Ser. B 5, 1--31 (2018; Zbl 1390.35244) Full Text: DOI arXiv OpenURL
Ngo, Van-Sang; Scrobogna, Stefano Dispersive effects of weakly compressible and fast rotating inviscid fluids. (English) Zbl 1379.35227 Discrete Contin. Dyn. Syst. 38, No. 2, 749-789 (2018). MSC: 35Q31 35A01 35A02 76N10 76U05 35D35 86A05 35B45 35Q86 PDF BibTeX XML Cite \textit{V.-S. Ngo} and \textit{S. Scrobogna}, Discrete Contin. Dyn. Syst. 38, No. 2, 749--789 (2018; Zbl 1379.35227) Full Text: DOI arXiv OpenURL
Constantin, A.; Johnson, R. S. Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. (English) Zbl 1404.86015 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2200, Article ID 20170063, 18 p. (2017). MSC: 86A05 76B10 35Q31 PDF BibTeX XML Cite \textit{A. Constantin} and \textit{R. S. Johnson}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2200, Article ID 20170063, 18 p. (2017; Zbl 1404.86015) Full Text: DOI OpenURL
Tarasov, Boris G.; Sadovskii, V. M.; Sadovskaya, O. V. Analysis of Fan waves in a laboratory model simulating the propagation of shear ruptures in rocks. (English. Russian original) Zbl 1390.74140 J. Appl. Mech. Tech. Phys. 58, No. 7, 1139-1152 (2017); translation from Vycisl. Mekh. Splosh. Sred 9, No. 1, 38-51 (2016). MSC: 74L10 86A15 PDF BibTeX XML Cite \textit{B. G. Tarasov} et al., J. Appl. Mech. Tech. Phys. 58, No. 7, 1139--1152 (2017; Zbl 1390.74140); translation from Vycisl. Mekh. Splosh. Sred 9, No. 1, 38--51 (2016) Full Text: DOI OpenURL
Magdalena, I. A dispersive numerical model for the formation of undular bores generated by tsunami wave fission. (English) Zbl 1403.76057 East Asian J. Appl. Math. 7, No. 4, 767-784 (2017). MSC: 76M12 65M08 35L65 86-08 86A15 PDF BibTeX XML Cite \textit{I. Magdalena}, East Asian J. Appl. Math. 7, No. 4, 767--784 (2017; Zbl 1403.76057) Full Text: DOI Link OpenURL
Kühnlein, Christian; Smolarkiewicz, Piotr K. An unstructured-mesh finite-volume MPDATA for compressible atmospheric dynamics. (English) Zbl 1375.86007 J. Comput. Phys. 334, 16-30 (2017). MSC: 86A10 76M12 PDF BibTeX XML Cite \textit{C. Kühnlein} and \textit{P. K. Smolarkiewicz}, J. Comput. Phys. 334, 16--30 (2017; Zbl 1375.86007) Full Text: DOI OpenURL
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global regularity for several incompressible fluid models with partial dissipation. (English) Zbl 1379.35255 J. Math. Fluid Mech. 19, No. 3, 423-444 (2017). MSC: 35Q35 35B45 35B65 76D03 76D09 35Q31 86A05 26A33 PDF BibTeX XML Cite \textit{J. Wu} et al., J. Math. Fluid Mech. 19, No. 3, 423--444 (2017; Zbl 1379.35255) Full Text: DOI OpenURL
Martin, Calin Iulian Two-dimensionality of gravity water flows governed by the equatorial \(f\)-plane approximation. (English) Zbl 1382.35202 Ann. Mat. Pura Appl. (4) 196, No. 6, 2253-2260 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q31 35Q35 35Q86 76U05 76B15 86A05 PDF BibTeX XML Cite \textit{C. I. Martin}, Ann. Mat. Pura Appl. (4) 196, No. 6, 2253--2260 (2017; Zbl 1382.35202) Full Text: DOI OpenURL
Käppeli, Roger A well-balanced scheme for the Euler equations with gravitation. (English) Zbl 1371.35206 Gosse, Laurent (ed.) et al., Innovative algorithms and analysis. Based on the presentations at the workshop, Rome, Italy, May 17–20, 2016. Cham: Springer (ISBN 978-3-319-49261-2/hbk; 978-3-319-49262-9/ebook). Springer INdAM Series 16, 229-241 (2017). MSC: 35Q31 76B15 85A05 86A10 76M12 65M08 PDF BibTeX XML Cite \textit{R. Käppeli}, Springer INdAM Ser. 16, 229--241 (2017; Zbl 1371.35206) Full Text: DOI OpenURL
Kiselev, Alexander; Yao, Yao; Zlatoš, Andrej Local regularity for the modified SQG patch equation. (English) Zbl 1371.35220 Commun. Pure Appl. Math. 70, No. 7, 1253-1315 (2017). MSC: 35Q35 35Q31 35Q86 35B65 86A05 76B03 PDF BibTeX XML Cite \textit{A. Kiselev} et al., Commun. Pure Appl. Math. 70, No. 7, 1253--1315 (2017; Zbl 1371.35220) Full Text: DOI arXiv OpenURL
Hsu, Hung-Chu; Martin, Calin Iulian On the existence of solutions and the pressure function related to the antarctic circumpolar current. (English) Zbl 1368.35214 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 285-293 (2017). MSC: 35Q31 35Q35 35Q86 76U05 86A05 35R35 PDF BibTeX XML Cite \textit{H.-C. Hsu} and \textit{C. I. Martin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 155, 285--293 (2017; Zbl 1368.35214) Full Text: DOI OpenURL
Martin, Calin Iulian On the existence of free-surface azimuthal equatorial flows. (English) Zbl 1368.35215 Appl. Anal. 96, No. 7, 1207-1214 (2017). MSC: 35Q31 35Q35 35Q86 76U05 86A05 35R35 76D05 PDF BibTeX XML Cite \textit{C. I. Martin}, Appl. Anal. 96, No. 7, 1207--1214 (2017; Zbl 1368.35215) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Hmidi} and \textit{J. Mateu}, Commun. Math. Phys. 350, No. 2, 699--747 (2017; Zbl 1360.35157) Full Text: DOI arXiv OpenURL
Ionescu-Kruse, Delia; Martin, Calin Iulian Periodic equatorial water flows from a Hamiltonian perspective. (English) Zbl 1358.35103 J. Differ. Equations 262, No. 8, 4451-4474 (2017). MSC: 35Q31 35Q35 76B15 76D33 12D10 76D50 86A05 PDF BibTeX XML Cite \textit{D. Ionescu-Kruse} and \textit{C. I. Martin}, J. Differ. Equations 262, No. 8, 4451--4474 (2017; Zbl 1358.35103) Full Text: DOI OpenURL
Carr, L. E. III; Borges, C. F.; Giraldo, F. X. Matrix-free polynomial-based nonlinear least squares optimized preconditioning and its application to discontinuous Galerkin discretizations of the Euler equations. (English) Zbl 1398.65247 J. Sci. Comput. 66, No. 3, 917-940 (2016). MSC: 65M60 65M70 35L65 86A10 PDF BibTeX XML Cite \textit{L. E. Carr III} et al., J. Sci. Comput. 66, No. 3, 917--940 (2016; Zbl 1398.65247) Full Text: DOI OpenURL
Ogaja, Jack Higher order horizontal discretization of Euler-equations in a non-hydrostatic NWP and RCM model. (English) Zbl 1360.86001 Göttingen: Cuvillier; Cottbus: Univ. Cottbus (Diss. 2015) (ISBN 978-3-7369-9294-8/pbk; 978-3-73698-294-9/ebook). xvii, 133 p. (2016). MSC: 86-02 86A05 35Q31 65Z05 PDF BibTeX XML Cite \textit{J. Ogaja}, Higher order horizontal discretization of Euler-equations in a non-hydrostatic NWP and RCM model. Göttingen: Cuvillier; Cottbus: Univ. Cottbus (Diss. 2015) (2016; Zbl 1360.86001) OpenURL
Zhang, Zhongqiang; Yang, Xiu; Lin, Guang POD-based constrained sensor placement and field reconstruction from noisy wind measurements: a perturbation study. (English) Zbl 1397.86018 Mathematics 4, No. 2, Paper No. 26, 15 p. (2016). MSC: 86A22 35R60 65M70 35Q31 65C30 65C05 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Mathematics 4, No. 2, Paper No. 26, 15 p. (2016; Zbl 1397.86018) Full Text: DOI OpenURL
Cheng, Jingrui Semigeostrophic equations in physical space with free upper boundary. (English) Zbl 1364.35372 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 149, 32 p. (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q86 86A05 35B45 35D30 35Q31 PDF BibTeX XML Cite \textit{J. Cheng}, Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 149, 32 p. (2016; Zbl 1364.35372) Full Text: DOI arXiv OpenURL
Abdi, Daniel S.; Giraldo, Francis X. Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations. (English) Zbl 1349.76162 J. Comput. Phys. 320, 46-68 (2016). MSC: 76M10 65M60 35Q31 86A10 PDF BibTeX XML Cite \textit{D. S. Abdi} and \textit{F. X. Giraldo}, J. Comput. Phys. 320, 46--68 (2016; Zbl 1349.76162) Full Text: DOI OpenURL
Kiselev, Alexander; Ryzhik, Lenya; Yao, Yao; Zlatoš, Andrej Finite time singularity for the modified SQG patch equation. (English) Zbl 1360.35159 Ann. Math. (2) 184, No. 3, 909-948 (2016). Reviewer: Alpár R. Mészáros (Los Angeles) MSC: 35Q31 35Q86 35B65 76B03 86A05 PDF BibTeX XML Cite \textit{A. Kiselev} et al., Ann. Math. (2) 184, No. 3, 909--948 (2016; Zbl 1360.35159) Full Text: DOI arXiv Link OpenURL
Washabaugh, Pearce The SQG equation as a geodesic equation. (English) Zbl 1348.35178 Arch. Ration. Mech. Anal. 222, No. 3, 1269-1284 (2016). MSC: 35Q31 35Q35 35Q86 35B35 86A05 PDF BibTeX XML Cite \textit{P. Washabaugh}, Arch. Ration. Mech. Anal. 222, No. 3, 1269--1284 (2016; Zbl 1348.35178) Full Text: DOI arXiv OpenURL
Zhang, Tong; Jin, Jiaojiao; Xu, Shunwei The Euler implicit/explicit scheme for the Boussinesq equations. (English) Zbl 1433.65232 Bound. Value Probl. 2016, Paper No. 181, 25 p. (2016). MSC: 65M60 35Q35 65M12 65M15 76M10 86A10 PDF BibTeX XML Cite \textit{T. Zhang} et al., Bound. Value Probl. 2016, Paper No. 181, 25 p. (2016; Zbl 1433.65232) Full Text: DOI OpenURL
Kukavica, Igor; Lombardo, Maria Carmela; Sammartino, Marco Zero viscosity limit for analytic solutions of the primitive equations. (English) Zbl 1379.35247 Arch. Ration. Mech. Anal. 222, No. 1, 15-45 (2016). Reviewer: Thomas Hagen (Memphis) MSC: 35Q35 35Q31 35B25 86A05 86A10 PDF BibTeX XML Cite \textit{I. Kukavica} et al., Arch. Ration. Mech. Anal. 222, No. 1, 15--45 (2016; Zbl 1379.35247) Full Text: DOI Link OpenURL
Hsu, Hung-Chu; Martin, Calin Iulian Free-surface capillary-gravity azimuthal equatorial flows. (English) Zbl 1346.35153 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 1-9 (2016). MSC: 35Q31 35Q35 35Q86 76U05 86A05 PDF BibTeX XML Cite \textit{H.-C. Hsu} and \textit{C. I. Martin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 1--9 (2016; Zbl 1346.35153) Full Text: DOI OpenURL
Oliver, Marcel; Vasylkevych, Sergiy Generalized large-scale semigeostrophic approximations for the \(f\)-plane primitive equations. (English) Zbl 1351.86013 J. Phys. A, Math. Theor. 49, No. 18, Article ID 184001, 17 p. (2016). MSC: 86A05 76B70 76E20 PDF BibTeX XML Cite \textit{M. Oliver} and \textit{S. Vasylkevych}, J. Phys. A, Math. Theor. 49, No. 18, Article ID 184001, 17 p. (2016; Zbl 1351.86013) Full Text: DOI OpenURL
Wu, Jiahong The 2D Boussinesq equations with partial or fractional dissipation. (English) Zbl 1348.35204 Chemin, Jean-Yves (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 4. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-317-3/pbk). Morningside Lectures in Mathematics 4, 223-269 (2016). MSC: 35Q35 35-02 76D05 26A33 86A05 86A10 PDF BibTeX XML Cite \textit{J. Wu}, Morningside Lect. Math. 4, 223--269 (2016; Zbl 1348.35204) OpenURL
Constantin, A.; Ivanov, R. I.; Martin, C.-I. Hamiltonian formulation for wave-current interactions in stratified rotational flows. (English) Zbl 1344.35084 Arch. Ration. Mech. Anal. 221, No. 3, 1417-1447 (2016). MSC: 35Q31 76B15 86A05 35R35 76B55 76U05 76B70 PDF BibTeX XML Cite \textit{A. Constantin} et al., Arch. Ration. Mech. Anal. 221, No. 3, 1417--1447 (2016; Zbl 1344.35084) Full Text: DOI OpenURL
Ghosh, Debojyoti; Constantinescu, Emil M. Semi-implicit time integration of atmospheric flows with characteristic-based flux partitioning. (English) Zbl 1419.76478 SIAM J. Sci. Comput. 38, No. 3, A1848-A1875 (2016). MSC: 76M20 76N15 65M06 86A10 PDF BibTeX XML Cite \textit{D. Ghosh} and \textit{E. M. Constantinescu}, SIAM J. Sci. Comput. 38, No. 3, A1848--A1875 (2016; Zbl 1419.76478) Full Text: DOI arXiv OpenURL
Compelli, Alan Hamiltonian approach to the modeling of internal geophysical waves with vorticity. (English) Zbl 1334.76029 Monatsh. Math. 179, No. 4, 509-521 (2016). MSC: 76B55 76B15 86A05 76B47 35Q31 PDF BibTeX XML Cite \textit{A. Compelli}, Monatsh. Math. 179, No. 4, 509--521 (2016; Zbl 1334.76029) Full Text: DOI Link OpenURL
de Góes Maciel, Edisson Sávio Magnetic field applied to thermochemical non-equilibrium reentry flows in 2D – five species. (English) Zbl 07516261 Int. J. Comput. Fluid Dyn. 29, No. 6-8, 376-399 (2015). MSC: 76-XX 86-XX PDF BibTeX XML Cite \textit{E. S. de Góes Maciel}, Int. J. Comput. Fluid Dyn. 29, No. 6--8, 376--399 (2015; Zbl 07516261) Full Text: DOI OpenURL
Martin, Calin Iulian Dynamics of the thermocline in the equatorial region of the Pacific Ocean. (English) Zbl 1420.35216 J. Nonlinear Math. Phys. 22, No. 4, 516-522 (2015). MSC: 35Q31 35Q35 86A05 PDF BibTeX XML Cite \textit{C. I. Martin}, J. Nonlinear Math. Phys. 22, No. 4, 516--522 (2015; Zbl 1420.35216) Full Text: DOI OpenURL
Kopera, Michal A.; Giraldo, Francis X. Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations. (English) Zbl 1349.76227 J. Comput. Phys. 297, 90-103 (2015). MSC: 76M10 65M60 65M50 76Nxx 86A10 PDF BibTeX XML Cite \textit{M. A. Kopera} and \textit{F. X. Giraldo}, J. Comput. Phys. 297, 90--103 (2015; Zbl 1349.76227) Full Text: DOI OpenURL
Marras, Simone; Müller, Andreas; Giraldo, Francis X. Physics-based stabilization of spectral elements for 3D Euler equations of moist atmospheric convection. (English) Zbl 1352.35192 Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 355-363 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q86 76E06 65M70 76F65 86A10 PDF BibTeX XML Cite \textit{S. Marras} et al., Lect. Notes Comput. Sci. Eng. 106, 355--363 (2015; Zbl 1352.35192) Full Text: DOI OpenURL
Makino, Tetu On spherically symmetric motions of the atmosphere surrounding a planet governed by the compressible Euler equations. (English) Zbl 1330.35309 Funkc. Ekvacioj, Ser. Int. 58, No. 1, 43-85 (2015). MSC: 35Q31 35L05 35L52 35L57 35L70 86A10 76N15 PDF BibTeX XML Cite \textit{T. Makino}, Funkc. Ekvacioj, Ser. Int. 58, No. 1, 43--85 (2015; Zbl 1330.35309) Full Text: DOI arXiv OpenURL
Glowinski, Roland; Leung, Shingyu; Qian, Jianliang A penalization-regularization-operator splitting method for eikonal based traveltime tomography. (English) Zbl 1325.65092 SIAM J. Imaging Sci. 8, No. 2, 1263-1292 (2015). MSC: 65K10 35F21 49J20 92C55 86A15 PDF BibTeX XML Cite \textit{R. Glowinski} et al., SIAM J. Imaging Sci. 8, No. 2, 1263--1292 (2015; Zbl 1325.65092) Full Text: DOI Link OpenURL
Hu, Weiwei; Kukavica, Igor; Ziane, Mohammed On the local existence for an active scalar equation. (Sur l’existence locale pour une équation de scalaires actifs.) (French. English summary) Zbl 1311.35196 C. R., Math., Acad. Sci. Paris 353, No. 3, 241-245 (2015). MSC: 35Q31 86A05 PDF BibTeX XML Cite \textit{W. Hu} et al., C. R., Math., Acad. Sci. Paris 353, No. 3, 241--245 (2015; Zbl 1311.35196) Full Text: DOI OpenURL
Martin, Calin Iulian Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity. (English) Zbl 1334.35245 Nonlinear Anal., Real World Appl. 21, 27-33 (2015). MSC: 35Q35 35B65 35Q31 76B03 76B15 86A05 PDF BibTeX XML Cite \textit{C. I. Martin}, Nonlinear Anal., Real World Appl. 21, 27--33 (2015; Zbl 1334.35245) Full Text: DOI OpenURL
Kopera, Michal A.; Giraldo, Francis X. Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations. (English) Zbl 1349.76226 J. Comput. Phys. 275, 92-117 (2014). MSC: 76M10 65M60 65M50 76N15 86A10 PDF BibTeX XML Cite \textit{M. A. Kopera} and \textit{F. X. Giraldo}, J. Comput. Phys. 275, 92--117 (2014; Zbl 1349.76226) Full Text: DOI OpenURL
Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V. Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. (English) Zbl 1349.76292 J. Comput. Phys. 268, 106-133 (2014). MSC: 76M10 76R10 86-08 65M60 65M50 86A10 PDF BibTeX XML Cite \textit{L. Yelash} et al., J. Comput. Phys. 268, 106--133 (2014; Zbl 1349.76292) Full Text: DOI Link OpenURL