Valade, Nicolas; Thalabard, Simon; Bec, Jérémie Anomalous dissipation and spontaneous stochasticity in deterministic surface quasi-geostrophic flow. (English) Zbl 07802666 Ann. Henri Poincaré 25, No. 1, 1261-1283 (2024). MSC: 76U60 76D50 76M35 76F25 35Q35 86A05 PDFBibTeX XMLCite \textit{N. Valade} et al., Ann. Henri Poincaré 25, No. 1, 1261--1283 (2024; Zbl 07802666) Full Text: DOI arXiv
Melo, Wilberclay G.; Santos, Thyago S. R.; dos Santos Costa, Natielle Existence of solutions and their behavior for the anisotropic quasi-geostrophic equation in Sobolev and Sobolev-Gevrey spaces. (English) Zbl 1528.35208 J. Math. Anal. Appl. 530, No. 1, Article ID 127661, 29 p. (2024). MSC: 35Q86 86A05 86A10 35A01 35A02 35B65 46E35 26A33 35R11 PDFBibTeX XMLCite \textit{W. G. Melo} et al., J. Math. Anal. Appl. 530, No. 1, Article ID 127661, 29 p. (2024; Zbl 1528.35208) Full Text: DOI
Ionescu, Alexandru D.; Jia, Hao On the nonlinear stability of shear flows and vortices. (English) Zbl 07823085 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3776-3799 (2023). MSC: 35Q31 76B47 76B03 35B40 35B20 35B30 35B25 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{A. D. Ionescu} and \textit{H. Jia}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 5. Sections 9--11. Berlin: European Mathematical Society (EMS). 3776--3799 (2023; Zbl 07823085) Full Text: DOI OA License
Hmidi, Taoufik; Xue, Liutang; Xue, Zhilong Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc. (English) Zbl 1528.35120 J. Funct. Anal. 285, No. 10, Article ID 110142, 61 p. (2023). Reviewer: Pierre-Étienne Druet (Darmstadt) MSC: 35Q35 35Q86 76U05 47J35 35B32 35P30 33C10 35B10 35B65 35A01 35A02 35A09 26A33 35R11 PDFBibTeX XMLCite \textit{T. Hmidi} et al., J. Funct. Anal. 285, No. 10, Article ID 110142, 61 p. (2023; Zbl 1528.35120) Full Text: DOI arXiv
Crowe, Matthew N.; Johnson, Edward R. The evolution of surface quasi-geostrophic modons on sloping topography. (English) Zbl 07733821 J. Fluid Mech. 970, Paper No. A10, 23 p. (2023). MSC: 76U60 76U65 76U05 76M45 86A05 PDFBibTeX XMLCite \textit{M. N. Crowe} and \textit{E. R. Johnson}, J. Fluid Mech. 970, Paper No. A10, 23 p. (2023; Zbl 07733821) Full Text: DOI arXiv
Uy, Wayne Isaac Tan; Hartmann, Dirk; Peherstorfer, Benjamin Operator inference with roll outs for learning reduced models from scarce and low-quality data. (English) Zbl 07731330 Comput. Math. Appl. 145, 224-239 (2023). MSC: 93B11 93C15 93B28 PDFBibTeX XMLCite \textit{W. I. T. Uy} et al., Comput. Math. Appl. 145, 224--239 (2023; Zbl 07731330) Full Text: DOI arXiv
Melo, Wilberclay G.; Rocha, Natã Firmino; dos Santos Costa, Natielle Decay rates for mild solutions of the quasi-geostrophic equation with critical fractional dissipation in Sobolev-Gevrey spaces. (English) Zbl 07715950 Acta Appl. Math. 186, Paper No. 4, 13 p. (2023). MSC: 35Q86 35Q35 76U60 86A05 86A10 35A20 35A01 35A02 42B37 26A33 35R11 PDFBibTeX XMLCite \textit{W. G. Melo} et al., Acta Appl. Math. 186, Paper No. 4, 13 p. (2023; Zbl 07715950) Full Text: DOI
Yassin, Houssam The buoyancy staircase limit in surface quasigeostrophic turbulence. (English) Zbl 07682757 J. Fluid Mech. 962, Paper No. A35, 24 p. (2023). MSC: 76U60 76U65 76F25 76F45 86A05 PDFBibTeX XMLCite \textit{H. Yassin}, J. Fluid Mech. 962, Paper No. A35, 24 p. (2023; Zbl 07682757) Full Text: DOI arXiv
Kiselev, Alexander; Luo, Xiaoyutao On nonexistence of splash singularities for the \(\alpha\)-SQG patches. (English) Zbl 1510.35341 J. Nonlinear Sci. 33, No. 2, Paper No. 37, 16 p. (2023). MSC: 35Q86 35Q31 86A05 86A10 35A01 PDFBibTeX XMLCite \textit{A. Kiselev} and \textit{X. Luo}, J. Nonlinear Sci. 33, No. 2, Paper No. 37, 16 p. (2023; Zbl 1510.35341) 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
Johnson, E. R.; Crowe, M. N. Oceanic dipoles in a surface quasi-geostrophic model. (English) Zbl 07659912 J. Fluid Mech. 958, Paper No. R2, 12 p. (2023). MSC: 76-XX PDFBibTeX XMLCite \textit{E. R. Johnson} and \textit{M. N. Crowe}, J. Fluid Mech. 958, Paper No. R2, 12 p. (2023; Zbl 07659912) Full Text: DOI arXiv
Cao, Daomin; Qin, Guolin; Zhan, Weicheng; Zou, Changjun Global solutions for the generalized SQG equation and rearrangements. (English) Zbl 1523.76113 Trans. Am. Math. Soc. 376, No. 3, 2181-2211 (2023). MSC: 76U60 76B47 35Q35 PDFBibTeX XMLCite \textit{D. Cao} et al., Trans. Am. Math. Soc. 376, No. 3, 2181--2211 (2023; Zbl 1523.76113) Full Text: DOI arXiv
Cao, Daomin; Qin, Guolin; Zhan, Weicheng; Zou, Changjun Existence of traveling asymmetric vortex pairs in an ideal fluid. (English) Zbl 1507.76029 J. Differ. Equations 351, 131-155 (2023). MSC: 76B47 76M30 35Q31 PDFBibTeX XMLCite \textit{D. Cao} et al., J. Differ. Equations 351, 131--155 (2023; Zbl 1507.76029) Full Text: DOI
Alonso-Orán, Diego; Martínez, Ángel David On the blow up of a non-local transport equation in compact manifolds. (English) Zbl 1503.35148 Proc. Am. Math. Soc. 151, No. 2, 723-735 (2023). MSC: 35Q35 35Q86 35B44 35R01 76B47 76U60 86A05 PDFBibTeX XMLCite \textit{D. Alonso-Orán} and \textit{Á. D. Martínez}, Proc. Am. Math. Soc. 151, No. 2, 723--735 (2023; Zbl 1503.35148) Full Text: DOI arXiv
Liang, Siyu On white noise solutions of mSQG equations on \(\mathbb{R}^2\). (English) Zbl 1503.35231 J. Math. Anal. Appl. 519, No. 2, Article ID 126830, 23 p. (2023). MSC: 35Q86 76B03 60H40 35A01 35R60 PDFBibTeX XMLCite \textit{S. Liang}, J. Math. Anal. Appl. 519, No. 2, Article ID 126830, 23 p. (2023; Zbl 1503.35231) Full Text: DOI arXiv
Oulhen, Erwan; Reinaud, Jean N.; Carton, Xavier Formation of small-scale vortices in the core of a large merged vortex. (English) Zbl 1506.76197 Geophys. Astrophys. Fluid Dyn. 116, No. 5-6, 411-432 (2022). MSC: 76U05 86A05 PDFBibTeX XMLCite \textit{E. Oulhen} et al., Geophys. Astrophys. Fluid Dyn. 116, No. 5--6, 411--432 (2022; Zbl 1506.76197) Full Text: DOI
Zhang, Nan; Mao, Zhiping; Xiong, Tao High order conservative finite difference/Fourier spectral methods for inviscid surface quasi-geostrophic flows. (English) Zbl 1505.65252 Commun. Comput. Phys. 32, No. 5, 1474-1509 (2022). MSC: 65M06 65M70 35R11 76U60 76B07 76B47 PDFBibTeX XMLCite \textit{N. Zhang} et al., Commun. Comput. Phys. 32, No. 5, 1474--1509 (2022; Zbl 1505.65252) Full Text: DOI
Jia, Leroy L.; Irvine, William T. M.; Shelley, Michael J. Incompressible active phases at an interface. I: Formulation and axisymmetric odd flows. (English) Zbl 1504.76085 J. Fluid Mech. 951, Paper No. A36, 37 p. (2022). MSC: 76T06 76D27 76D07 PDFBibTeX XMLCite \textit{L. L. Jia} et al., J. Fluid Mech. 951, Paper No. A36, 37 p. (2022; Zbl 1504.76085) Full Text: DOI arXiv
Ó hAodha, Dáithí; Iwabuchi, Tsukasa Large-time behaviour of solutions to the surface quasi-geostrophic equation. (English) Zbl 1498.35083 SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 60, 17 p. (2022). MSC: 35B40 35R11 35Q35 PDFBibTeX XMLCite \textit{D. Ó hAodha} and \textit{T. Iwabuchi}, SN Partial Differ. Equ. Appl. 3, No. 5, Paper No. 60, 17 p. (2022; Zbl 1498.35083) Full Text: DOI arXiv
Gallet, Basile; Miquel, Benjamin; Hadjerci, Gabriel; Burns, Keaton J.; Flierl, Glenn R.; Ferrari, Raffaele Transport and emergent stratification in the equilibrated eady model: the vortex-gas scaling regime. (English) Zbl 1521.76891 J. Fluid Mech. 948, Paper No. A31, 30 p. (2022). MSC: 76U60 76F45 76F65 76M22 86A05 PDFBibTeX XMLCite \textit{B. Gallet} et al., J. Fluid Mech. 948, Paper No. A31, 30 p. (2022; Zbl 1521.76891) Full Text: DOI arXiv
Córdoba, Diego; Martínez-Zoroa, Luis Non existence and strong ill-posedness in \(C^k\) and Sobolev spaces for SQG. (English) Zbl 1504.35566 Adv. Math. 407, Article ID 108570, 74 p. (2022). MSC: 35Q86 86A05 35A01 35R25 PDFBibTeX XMLCite \textit{D. Córdoba} and \textit{L. Martínez-Zoroa}, Adv. Math. 407, Article ID 108570, 74 p. (2022; Zbl 1504.35566) Full Text: DOI arXiv
Alonso-Orán, Diego; Miao, Yingting; Tang, Hao Global existence, blow-up and stability for a stochastic transport equation with non-local velocity. (English) Zbl 1494.60070 J. Differ. Equations 335, 244-293 (2022). MSC: 60H15 35Q51 35A01 35B44 35Q91 PDFBibTeX XMLCite \textit{D. Alonso-Orán} et al., J. Differ. Equations 335, 244--293 (2022; Zbl 1494.60070) Full Text: DOI arXiv
Reinaud, Jean N. Circular vortex arrays in generalised Euler’s and quasi-geostrophic dynamics. (English) Zbl 1490.76059 Regul. Chaotic Dyn. 27, No. 3, 352-368 (2022). MSC: 76B47 76E20 PDFBibTeX XMLCite \textit{J. N. Reinaud}, Regul. Chaotic Dyn. 27, No. 3, 352--368 (2022; Zbl 1490.76059) Full Text: DOI
Reinaud, Jean N.; Dritschel, David G.; Scott, Richard K. Self-similar collapse of three vortices in the generalised Euler and quasi-geostrophic equations. (English) Zbl 1495.76027 Physica D 434, Article ID 133226, 14 p. (2022). MSC: 76B47 76M99 PDFBibTeX XMLCite \textit{J. N. Reinaud} et al., Physica D 434, Article ID 133226, 14 p. (2022; Zbl 1495.76027) Full Text: DOI
Cao, Daomin; Qin, Guolin; Zhan, Weicheng; Zou, Changjun On the global classical solutions for the generalized SQG equation. (English) Zbl 1506.35242 J. Funct. Anal. 283, No. 2, Article ID 109503, 37 p. (2022). MSC: 35Q86 35Q31 86A05 76B03 35A15 35A09 35B65 35D30 35C07 35A01 35A02 PDFBibTeX XMLCite \textit{D. Cao} et al., J. Funct. Anal. 283, No. 2, Article ID 109503, 37 p. (2022; Zbl 1506.35242) Full Text: DOI arXiv
Carlson, Max; Zheng, Xiaoning; Sundar, Hari; Karniadakis, George Em; Kirby, Robert M. An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains. (English) Zbl 07690829 Comput. Phys. Commun. 261, Article ID 107695, 11 p. (2021). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{M. Carlson} et al., Comput. Phys. Commun. 261, Article ID 107695, 11 p. (2021; Zbl 07690829) Full Text: DOI
Iwayama, Takahiro; Watanabe, Takeshi Linear stability analysis of double rows of point vortices for an inviscid generalized two-dimensional fluid system. (English) Zbl 1519.76029 J. Phys. A, Math. Theor. 54, No. 25, Article ID 255701, 22 p. (2021). MSC: 76B47 76F05 PDFBibTeX XMLCite \textit{T. Iwayama} and \textit{T. Watanabe}, J. Phys. A, Math. Theor. 54, No. 25, Article ID 255701, 22 p. (2021; Zbl 1519.76029) Full Text: DOI
Zhang, Yang; Afanasyev, Yakov Rotating thermal convection: surface turbulence observed with altimetry and thermal radiometry. (English) Zbl 1482.86022 Geophys. Astrophys. Fluid Dyn. 115, No. 5-6, 499-522 (2021). MSC: 86A05 76U60 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Afanasyev}, Geophys. Astrophys. Fluid Dyn. 115, No. 5--6, 499--522 (2021; Zbl 1482.86022) Full Text: DOI
Kalashnik, Maxim V. Long-wave instabilities in the SQG model with two boundaries. (English) Zbl 1482.76004 Geophys. Astrophys. Fluid Dyn. 115, No. 4, 393-411 (2021). MSC: 76-10 PDFBibTeX XMLCite \textit{M. V. Kalashnik}, Geophys. Astrophys. Fluid Dyn. 115, No. 4, 393--411 (2021; Zbl 1482.76004) Full Text: DOI
Reinaud, Jean N. Self-similar collapse of three geophysical vortices. (English) Zbl 1482.76137 Geophys. Astrophys. Fluid Dyn. 115, No. 4, 369-392 (2021); correction ibid. 115, No. 4, I-III (2021). MSC: 76U60 76-10 PDFBibTeX XMLCite \textit{J. N. Reinaud}, Geophys. Astrophys. Fluid Dyn. 115, No. 4, 369--392 (2021; Zbl 1482.76137) Full Text: DOI Link
Cheng, Xinyu; Kwon, Hyunju; Li, Dong Non-uniqueness of steady-state weak solutions to the surface quasi-geostrophic equations. (English) Zbl 1477.35272 Commun. Math. Phys. 388, No. 3, 1281-1295 (2021). MSC: 35Q86 86A05 76U60 76D50 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{X. Cheng} et al., Commun. Math. Phys. 388, No. 3, 1281--1295 (2021; Zbl 1477.35272) Full Text: DOI arXiv
Yang, Lin; Wang, Yejuan Attractors for 2D quasi-geostrophic equations with and without colored noise in \(W^{2 \alpha^- , p} (\mathbb{R}^2)\). (English) Zbl 1475.35073 Stoch. Dyn. 21, No. 4, Article ID 2150017, 32 p. (2021). MSC: 35B41 35Q86 35R60 PDFBibTeX XMLCite \textit{L. Yang} and \textit{Y. Wang}, Stoch. Dyn. 21, No. 4, Article ID 2150017, 32 p. (2021; Zbl 1475.35073) Full Text: DOI
Luo, Dejun; Zhu, Rongchan Stochastic mSQG equations with multiplicative transport noises: white noise solutions and scaling limit. (English) Zbl 1468.60081 Stochastic Processes Appl. 140, 236-286 (2021). MSC: 60H15 35R60 35Q30 35Q31 PDFBibTeX XMLCite \textit{D. Luo} and \textit{R. Zhu}, Stochastic Processes Appl. 140, 236--286 (2021; Zbl 1468.60081) Full Text: DOI arXiv
Castro, Ángel; Córdoba, Diego; Zheng, Fan The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation. (English) Zbl 1477.35271 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1583-1603 (2021). MSC: 35Q86 35Q35 86A05 76B03 35A09 35B20 35B32 35B65 PDFBibTeX XMLCite \textit{Á. Castro} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 5, 1583--1603 (2021; Zbl 1477.35271) Full Text: DOI arXiv
He, Siming; Kiselev, Alexander Small-scale creation for solutions of the SQG equation. (English) Zbl 1473.35579 Duke Math. J. 170, No. 5, 1027-1041 (2021). MSC: 35Q86 35Q35 76B03 86A10 35B44 PDFBibTeX XMLCite \textit{S. He} and \textit{A. Kiselev}, Duke Math. J. 170, No. 5, 1027--1041 (2021; Zbl 1473.35579) Full Text: DOI arXiv
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
Friedlander, Susan; Suen, Anthony Vanishing diffusion limits and long time behaviour of a class of forced active scalar equations. (English) Zbl 1470.35281 Arch. Ration. Mech. Anal. 240, No. 3, 1431-1485 (2021). MSC: 35Q35 35Q86 76W05 35B41 35A01 86A05 86A25 35R11 PDFBibTeX XMLCite \textit{S. Friedlander} and \textit{A. Suen}, Arch. Ration. Mech. Anal. 240, No. 3, 1431--1485 (2021; Zbl 1470.35281) Full Text: DOI arXiv
Luo, De Jun; Saal, Martin Regularization by noise for the point vortex model of mSQG equations. (English) Zbl 1464.76205 Acta Math. Sin., Engl. Ser. 37, No. 3, 408-422 (2021). MSC: 76U60 76B47 35Q35 PDFBibTeX XMLCite \textit{D. J. Luo} and \textit{M. Saal}, Acta Math. Sin., Engl. Ser. 37, No. 3, 408--422 (2021; Zbl 1464.76205) Full Text: DOI arXiv
Geldhauser, Carina; Romito, Marco Limit theorems and fluctuations for point vortices of generalized Euler equations. (English) Zbl 1464.76018 J. Stat. Phys. 182, No. 3, Paper No. 60, 27 p. (2021). MSC: 76B47 76B03 76M35 35Q31 PDFBibTeX XMLCite \textit{C. Geldhauser} and \textit{M. Romito}, J. Stat. Phys. 182, No. 3, Paper No. 60, 27 p. (2021; Zbl 1464.76018) Full Text: DOI arXiv
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier Global smooth solutions for the inviscid SQG equation. (English) Zbl 1444.35003 Memoirs of the American Mathematical Society 1292. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4214-9/pbk; 978-1-4704-6247-5/ebook). v, 89 p. (2020). MSC: 35-02 35Q35 35B32 65G30 76B03 86A05 86A10 PDFBibTeX XMLCite \textit{A. Castro} et al., Global smooth solutions for the inviscid SQG equation. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1444.35003) Full Text: DOI arXiv
Conti, Giovanni; Badin, Gualtiero Statistical measures and selective decay principle for generalized Euler dynamics: formulation and application to the formation of strong fronts. (English) Zbl 1444.76061 J. Stat. Phys. 179, No. 5-6, 1046-1072 (2020). MSC: 76F55 76B03 76U60 76M35 35Q51 PDFBibTeX XMLCite \textit{G. Conti} and \textit{G. Badin}, J. Stat. Phys. 179, No. 5--6, 1046--1072 (2020; Zbl 1444.76061) Full Text: DOI arXiv
Geldhauser, Carina; Romito, Marco Point vortices for inviscid generalized surface quasi-geostrophic models. (English) Zbl 1434.76021 Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2583-2606 (2020). MSC: 76B47 76M23 76E20 86A05 PDFBibTeX XMLCite \textit{C. Geldhauser} and \textit{M. Romito}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2583--2606 (2020; Zbl 1434.76021) Full Text: DOI arXiv
Rosenzweig, Matthew Justification of the point vortex approximation for modified surface quasi-geostrophic equations. (English) Zbl 1433.76030 SIAM J. Math. Anal. 52, No. 2, 1690-1728 (2020). MSC: 76B47 76D17 35A01 70F10 PDFBibTeX XMLCite \textit{M. Rosenzweig}, SIAM J. Math. Anal. 52, No. 2, 1690--1728 (2020; Zbl 1433.76030) Full Text: DOI arXiv
Stokols, Logan F.; Vasseur, Alexis F. Hölder regularity up to the boundary for critical SQG on bounded domains. (English) Zbl 1439.35480 Arch. Ration. Mech. Anal. 236, No. 3, 1543-1591 (2020). MSC: 35Q86 35B65 86A05 86A10 35D30 PDFBibTeX XMLCite \textit{L. F. Stokols} and \textit{A. F. Vasseur}, Arch. Ration. Mech. Anal. 236, No. 3, 1543--1591 (2020; Zbl 1439.35480) Full Text: DOI arXiv
Constantin, Peter; Ignatova, Mihaela Estimates near the boundary for critical SQG. (English) Zbl 1439.35393 Ann. PDE 6, No. 1, Paper No. 3, 30 p. (2020). MSC: 35Q35 35Q86 86A05 76U60 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{M. Ignatova}, Ann. PDE 6, No. 1, Paper No. 3, 30 p. (2020; Zbl 1439.35393) Full Text: DOI arXiv
Geldhauser, Carina; Romito, Marco The point vortex model for the Euler equation. (English) Zbl 1484.76054 AIMS Math. 4, No. 3, 534-575 (2019). MSC: 76M23 35Q31 35Q35 60F05 60F10 82C22 76B47 PDFBibTeX XMLCite \textit{C. Geldhauser} and \textit{M. Romito}, AIMS Math. 4, No. 3, 534--575 (2019; Zbl 1484.76054) Full Text: DOI
Badin, G.; Poulin, F. J. Asymptotic scale-dependent stability of surface quasi-geostrophic vortices: semi-analytic results. (English) Zbl 1521.76135 Geophys. Astrophys. Fluid Dyn. 113, No. 5-6, 574-593 (2019). MSC: 76E20 86A05 PDFBibTeX XMLCite \textit{G. Badin} and \textit{F. J. Poulin}, Geophys. Astrophys. Fluid Dyn. 113, No. 5--6, 574--593 (2019; Zbl 1521.76135) Full Text: DOI
Conti, G.; Badin, G. Velocity statistics for point vortices in the local \(\alpha\)-models of turbulence. (English) Zbl 1521.76177 Geophys. Astrophys. Fluid Dyn. 113, No. 5-6, 527-552 (2019). MSC: 76F55 PDFBibTeX XMLCite \textit{G. Conti} and \textit{G. Badin}, Geophys. Astrophys. Fluid Dyn. 113, No. 5--6, 527--552 (2019; Zbl 1521.76177) Full Text: DOI arXiv
Wang, Lijuan; Wang, Weike Pointwise estimates of solutions to conservation laws with nonlocal dissipation-type terms. (English) Zbl 1481.35096 Commun. Pure Appl. Anal. 18, No. 5, 2835-2854 (2019). MSC: 35B45 35B40 35L03 35L65 35S10 PDFBibTeX XMLCite \textit{L. Wang} and \textit{W. Wang}, Commun. Pure Appl. Anal. 18, No. 5, 2835--2854 (2019; Zbl 1481.35096) Full Text: DOI
Flandoli, Franco; Saal, Martin mSQG equations in distributional spaces and point vortex approximation. (English) Zbl 1439.60060 J. Evol. Equ. 19, No. 4, 1071-1090 (2019). MSC: 60H15 35Q86 35R60 76B03 PDFBibTeX XMLCite \textit{F. Flandoli} and \textit{M. Saal}, J. Evol. Equ. 19, No. 4, 1071--1090 (2019; Zbl 1439.60060) 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
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 PDFBibTeX XMLCite \textit{L. Agélas}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 6, 1503--1537 (2019; Zbl 1433.35214) Full Text: DOI HAL
Novack, Matthew D. On the weak solutions to the three-dimensional inviscid quasi-geostrophic system. (English) Zbl 1419.76064 SIAM J. Math. Anal. 51, No. 3, 2686-2712 (2019). MSC: 76B03 35Q35 PDFBibTeX XMLCite \textit{M. D. Novack}, SIAM J. Math. Anal. 51, No. 3, 2686--2712 (2019; Zbl 1419.76064) Full Text: DOI arXiv
Chen, Qingshan The barotropic quasi-geostrophic equation under a free surface. (English) Zbl 1419.35156 SIAM J. Math. Anal. 51, No. 3, 1836-1867 (2019). MSC: 35Q35 35Q86 PDFBibTeX XMLCite \textit{Q. Chen}, SIAM J. Math. Anal. 51, No. 3, 1836--1867 (2019; Zbl 1419.35156) Full Text: DOI arXiv
Wetzel, Alfredo N.; Smith, Leslie M.; Stechmann, Samuel N. Discontinuous fronts as exact solutions to precipitating quasi-geostrophic equations. (English) Zbl 1421.35370 SIAM J. Appl. Math. 79, No. 4, 1341-1366 (2019). MSC: 35Q86 35C05 35C07 35L67 76U05 86A10 76L05 PDFBibTeX XMLCite \textit{A. N. Wetzel} et al., SIAM J. Appl. Math. 79, No. 4, 1341--1366 (2019; Zbl 1421.35370) Full Text: DOI
Ignatova, Mihaela Construction of solutions of the critical SQG equation in bounded domains. (English) Zbl 1421.35276 Adv. Math. 351, 1000-1023 (2019). Reviewer: Theodore Drivas (Princeton) MSC: 35Q35 35Q86 35B65 35B45 35B50 86A05 76B03 PDFBibTeX XMLCite \textit{M. Ignatova}, Adv. Math. 351, 1000--1023 (2019; Zbl 1421.35276) Full Text: DOI
Stefanov, Atanas; Wu, Jiahong A global regularity result for the 2D Boussinesq equations with critical dissipation. (English) Zbl 1420.35263 J. Anal. Math. 137, No. 1, 269-290 (2019). MSC: 35Q35 35R11 35Q86 86A10 35B65 35A01 76D05 35A09 PDFBibTeX XMLCite \textit{A. Stefanov} and \textit{J. Wu}, J. Anal. Math. 137, No. 1, 269--290 (2019; Zbl 1420.35263) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Córdoba} et al., Arch. Ration. Mech. Anal. 233, No. 3, 1211--1251 (2019; Zbl 1420.35424) Full Text: DOI arXiv
Bonito, Andrea; Lei, Wenyu; Pasciak, Joseph E. Numerical approximation of the integral fractional Laplacian. (English) Zbl 1414.65032 Numer. Math. 142, No. 2, 235-278 (2019). MSC: 65N30 35S15 65N15 65R20 65N12 35R11 65D30 PDFBibTeX XMLCite \textit{A. Bonito} et al., Numer. Math. 142, No. 2, 235--278 (2019; Zbl 1414.65032) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Gómez-Serrano}, Adv. Math. 343, 110--140 (2019; Zbl 1408.35192) Full Text: DOI arXiv
Constantin, Peter; Ignatova, Mihaela; Nguyen, Huy Q. Inviscid limit for SQG in bounded domains. (English) Zbl 1405.35158 SIAM J. Math. Anal. 50, No. 6, 6196-6207 (2018). MSC: 35Q35 35Q86 35D30 PDFBibTeX XMLCite \textit{P. Constantin} et al., SIAM J. Math. Anal. 50, No. 6, 6196--6207 (2018; Zbl 1405.35158) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Constantin, Peter; Nguyen, Huy Quang Local and global strong solutions for SQG in bounded domains. (English) Zbl 1398.35006 Physica D 376-377, 195-203 (2018). MSC: 35A01 35A02 35Q86 35D35 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{H. Q. Nguyen}, Physica D 376--377, 195--203 (2018; Zbl 1398.35006) Full Text: DOI arXiv
Novack, Matthew D.; Vasseur, Alexis F. Global in time classical solutions to the 3D quasi-geostrophic system for large initial data. (English) Zbl 1417.35137 Commun. Math. Phys. 358, No. 1, 237-267 (2018). Reviewer: Ming Xu (Guangzhou) MSC: 35Q35 35A01 35B65 35Q86 86A05 PDFBibTeX XMLCite \textit{M. D. Novack} and \textit{A. F. Vasseur}, Commun. Math. Phys. 358, No. 1, 237--267 (2018; Zbl 1417.35137) Full Text: DOI arXiv
Alonso-Orán, Diego; Córdoba, Antonio; Martínez, Ángel D. Continuity of weak solutions of the critical surface quasigeostrophic equation on \(\mathbb{S}^2\). (English) Zbl 1391.35092 Adv. Math. 328, 264-299 (2018). MSC: 35B65 53A05 58J35 PDFBibTeX XMLCite \textit{D. Alonso-Orán} et al., Adv. Math. 328, 264--299 (2018; Zbl 1391.35092) Full Text: DOI arXiv
Nguyen, Huy Quang Global weak solutions for generalized SQG in bounded domains. (English) Zbl 1383.35172 Anal. PDE 11, No. 4, 1029-1047 (2018). MSC: 35Q35 35Q86 35D30 35R11 35Q31 PDFBibTeX XMLCite \textit{H. Q. Nguyen}, Anal. PDE 11, No. 4, 1029--1047 (2018; Zbl 1383.35172) Full Text: DOI arXiv
Resseguier, V.; Mémin, E.; Chapron, B. Geophysical flows under location uncertainty. III: SQG and frontal dynamics under strong turbulence conditions. (English) Zbl 1506.76027 Geophys. Astrophys. Fluid Dyn. 111, No. 3, 209-227 (2017). MSC: 76D06 35Q35 35Q86 35R60 60H30 76F55 76M35 86A05 PDFBibTeX XMLCite \textit{V. Resseguier} et al., Geophys. Astrophys. Fluid Dyn. 111, No. 3, 209--227 (2017; Zbl 1506.76027) Full Text: DOI arXiv
Resseguier, V.; Mémin, E.; Chapron, B. Geophysical flows under location uncertainty. II: Quasi-geostrophy and efficient ensemble spreading. (English) Zbl 1506.76026 Geophys. Astrophys. Fluid Dyn. 111, No. 3, 177-208 (2017). MSC: 76D06 35Q35 35Q86 35R60 60H30 76F55 76M35 86A05 PDFBibTeX XMLCite \textit{V. Resseguier} et al., Geophys. Astrophys. Fluid Dyn. 111, No. 3, 177--208 (2017; Zbl 1506.76026) Full Text: DOI arXiv
Burczak, Jan; Granero-Belinchón, Rafael Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation. (English) Zbl 1401.35312 J. Differ. Equations 263, No. 9, 6115-6142 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 35R11 35Q92 35A01 35B44 35B65 35S10 92C17 PDFBibTeX XMLCite \textit{J. Burczak} and \textit{R. Granero-Belinchón}, J. Differ. Equations 263, No. 9, 6115--6142 (2017; Zbl 1401.35312) Full Text: DOI arXiv
Song, Fangying; Karniadakis, George Em Fractional spectral vanishing viscosity method: application to the quasi-geostrophic equation. (English) Zbl 1422.65289 Chaos Solitons Fractals 102, 327-332 (2017). MSC: 65M70 65M60 86A10 35Q86 PDFBibTeX XMLCite \textit{F. Song} and \textit{G. E. Karniadakis}, Chaos Solitons Fractals 102, 327--332 (2017; Zbl 1422.65289) Full Text: DOI
Foussard, Alexis; Berti, Stefano; Perrot, Xavier; Lapeyre, Guillaume Relative dispersion in generalized two-dimensional turbulence. (English) Zbl 1383.76207 J. Fluid Mech. 821, 358-383 (2017). MSC: 76F25 86A05 86A10 PDFBibTeX XMLCite \textit{A. Foussard} et al., J. Fluid Mech. 821, 358--383 (2017; Zbl 1383.76207) Full Text: DOI
Renault, Coralie Relative equilibria with holes for the surface quasi-geostrophic equations. (English) Zbl 1390.35282 J. Differ. Equations 263, No. 1, 567-614 (2017). Reviewer: Ming Xu (Guangzhou) MSC: 35Q35 76B03 35B32 76U05 35Q86 86A05 PDFBibTeX XMLCite \textit{C. Renault}, J. Differ. Equations 263, No. 1, 567--614 (2017; Zbl 1390.35282) Full Text: DOI arXiv
Constantin, Peter Nonlocal nonlinear advection-diffusion equations. (English) Zbl 1364.35261 Chin. Ann. Math., Ser. B 38, No. 1, 281-292 (2017). MSC: 35Q35 35Q86 26A33 PDFBibTeX XMLCite \textit{P. Constantin}, Chin. Ann. Math., Ser. B 38, No. 1, 281--292 (2017; Zbl 1364.35261) 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
Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S. A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. (English) Zbl 1358.35091 Adv. Nonlinear Stud. 17, No. 1, 167-192 (2017). MSC: 35Q30 37C50 76B75 34D06 35Q86 42B25 26A33 76B15 76U05 PDFBibTeX XMLCite \textit{M. S. Jolly} et al., Adv. Nonlinear Stud. 17, No. 1, 167--192 (2017; Zbl 1358.35091) Full Text: DOI arXiv
Constantin, Peter; Ignatova, Mihaela Critical SQG in bounded domains. (English) Zbl 1397.35202 Ann. PDE 2, No. 2, Paper No. 8, 42 p. (2016). MSC: 35Q35 35Q86 35B45 35B50 35R11 76B47 86A05 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{M. Ignatova}, Ann. PDE 2, No. 2, Paper No. 8, 42 p. (2016; Zbl 1397.35202) Full Text: DOI arXiv
Taylor, C. K.; Llewellyn Smith, Stefan G. Dynamics and transport properties of three surface quasigeostrophic point vortices. (English) Zbl 1378.86006 Chaos 26, No. 11, 113117, 10 p. (2016). MSC: 86A05 PDFBibTeX XMLCite \textit{C. K. Taylor} and \textit{S. G. Llewellyn Smith}, Chaos 26, No. 11, 113117, 10 p. (2016; Zbl 1378.86006) Full Text: DOI Link
Harvey, B. J.; Methven, J.; Ambaum, M. H. P. Rossby wave propagation on potential vorticity fronts with finite width. (English) Zbl 1445.76092 J. Fluid Mech. 794, 775-797 (2016). MSC: 76U65 86A10 PDFBibTeX XMLCite \textit{B. J. Harvey} et al., J. Fluid Mech. 794, 775--797 (2016; Zbl 1445.76092) Full Text: DOI
Xue, Liutang On the locally self-similar solution of the surface quasi-geostrophic equation with decaying or non-decaying profiles. (English) Zbl 1433.76020 J. Differ. Equations 261, No. 10, 5590-5608 (2016). MSC: 76B03 35Q31 35Q86 PDFBibTeX XMLCite \textit{L. Xue}, J. Differ. Equations 261, No. 10, 5590--5608 (2016; Zbl 1433.76020) Full Text: DOI
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
Callies, Jörn; Flierl, Glenn; Ferrari, Raffaele; Fox-Kemper, Baylor The role of mixed-layer instabilities in submesoscale turbulence. (English) Zbl 1381.86011 J. Fluid Mech. 788, 5-41 (2016). MSC: 86A05 PDFBibTeX XMLCite \textit{J. Callies} et al., J. Fluid Mech. 788, 5--41 (2016; Zbl 1381.86011) Full Text: DOI Link
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations. (English) Zbl 1339.35234 Duke Math. J. 165, No. 5, 935-984 (2016). MSC: 35Q35 76B03 35B65 35B32 76U05 PDFBibTeX XMLCite \textit{A. Castro} et al., Duke Math. J. 165, No. 5, 935--984 (2016; Zbl 1339.35234) Full Text: DOI arXiv Euclid
de la Hoz, Francisco; Hassainia, Zineb; Hmidi, Taoufik Doubly connected V-states for the generalized surface quasi-geostrophic equations. (English) Zbl 1334.35263 Arch. Ration. Mech. Anal. 220, No. 3, 1209-1281 (2016). MSC: 35Q35 35B40 35B32 33C05 PDFBibTeX XMLCite \textit{F. de la Hoz} et al., Arch. Ration. Mech. Anal. 220, No. 3, 1209--1281 (2016; Zbl 1334.35263) Full Text: DOI arXiv
Isett, Philip; Vicol, Vlad Hölder continuous solutions of active scalar equations. (English) Zbl 1395.35061 Ann. PDE 1, No. 1, Paper No. 2, 77 p. (2015). MSC: 35B65 35F05 PDFBibTeX XMLCite \textit{P. Isett} and \textit{V. Vicol}, Ann. PDE 1, No. 1, Paper No. 2, 77 p. (2015; Zbl 1395.35061) Full Text: DOI arXiv
Simon, Guillaume; Nadiga, Balasubramanya T. Instability of a periodic flow in geostrophic and hydrostatic balance. (English) Zbl 1390.76087 Comput. Fluids 115, 173-191 (2015). MSC: 76E20 76U05 86A05 86A10 PDFBibTeX XMLCite \textit{G. Simon} and \textit{B. T. Nadiga}, Comput. Fluids 115, 173--191 (2015; Zbl 1390.76087) Full Text: DOI
Puel, Marjolaine; Vasseur, Alexis F. Global weak solutions to the inviscid 3D quasi-geostrophic equation. (English) Zbl 1328.35177 Commun. Math. Phys. 339, No. 3, 1063-1082 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35Q86 35D30 86A05 PDFBibTeX XMLCite \textit{M. Puel} and \textit{A. F. Vasseur}, Commun. Math. Phys. 339, No. 3, 1063--1082 (2015; Zbl 1328.35177) Full Text: DOI arXiv
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
Cannone, Marco; Xue, Liutang Remarks on self-similar solutions for the surface quasi-geostrophic equation and its generalization. (English) Zbl 1309.76025 Proc. Am. Math. Soc. 143, No. 6, 2613-2622 (2015). MSC: 76B03 35Q31 35Q35 35Q86 PDFBibTeX XMLCite \textit{M. Cannone} and \textit{L. Xue}, Proc. Am. Math. Soc. 143, No. 6, 2613--2622 (2015; Zbl 1309.76025) Full Text: DOI
Hassainia, Zineb; Hmidi, Taoufik On the V-states for the generalized quasi-geostrophic equations. (English) Zbl 1319.35188 Commun. Math. Phys. 337, No. 1, 321-377 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35B65 86A05 PDFBibTeX XMLCite \textit{Z. Hassainia} and \textit{T. Hmidi}, Commun. Math. Phys. 337, No. 1, 321--377 (2015; Zbl 1319.35188) Full Text: DOI arXiv
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad Long time dynamics of forced critical SQG. (English) Zbl 1316.35238 Commun. Math. Phys. 335, No. 1, 93-141 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35Q86 35B41 35B65 86A05 PDFBibTeX XMLCite \textit{P. Constantin} et al., Commun. Math. Phys. 335, No. 1, 93--141 (2015; Zbl 1316.35238) Full Text: DOI arXiv
Gancedo, Francisco; Strain, Robert M. Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem. (English) Zbl 1355.76065 Proc. Natl. Acad. Sci. USA 111, No. 2, 635-639 (2014). MSC: 76S05 76Txx 86A05 35Q35 76D27 35B35 PDFBibTeX XMLCite \textit{F. Gancedo} and \textit{R. M. Strain}, Proc. Natl. Acad. Sci. USA 111, No. 2, 635--639 (2014; Zbl 1355.76065) Full Text: DOI arXiv
Fefferman, Charles L. No-splash theorems for fluid interfaces. (English) Zbl 1355.76020 Proc. Natl. Acad. Sci. USA 111, No. 2, 573-574 (2014). MSC: 76D27 PDFBibTeX XMLCite \textit{C. L. Fefferman}, Proc. Natl. Acad. Sci. USA 111, No. 2, 573--574 (2014; Zbl 1355.76020) Full Text: DOI Link
Wang, Ming; Tang, Yanbin Long time dynamics of 2D quasi-geostrophic equations with damping in \(L^p\). (English) Zbl 1311.35232 J. Math. Anal. Appl. 412, No. 2, 866-877 (2014). MSC: 35Q35 35Q86 26A33 35B41 PDFBibTeX XMLCite \textit{M. Wang} and \textit{Y. Tang}, J. Math. Anal. Appl. 412, No. 2, 866--877 (2014; Zbl 1311.35232) Full Text: DOI
Chae, Dongho; Constantin, Peter; Wu, Jiahong An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. (English) Zbl 1307.35213 J. Math. Fluid Mech. 16, No. 3, 473-480 (2014); erratum ibid. 16, No. 3, 481 (2014). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{D. Chae} et al., J. Math. Fluid Mech. 16, No. 3, 473--480 (2014; Zbl 1307.35213) Full Text: DOI arXiv
Castro, Angel; Córdoba, Diego; Gómez-Serrano, Javier; Zamora, Alberto Martín Remarks on geometric properties of SQG sharp fronts and \(\alpha\)-patches. (English) Zbl 1299.76032 Discrete Contin. Dyn. Syst. 34, No. 12, 5045-5059 (2014). MSC: 76B47 35Q31 65G30 PDFBibTeX XMLCite \textit{A. Castro} et al., Discrete Contin. Dyn. Syst. 34, No. 12, 5045--5059 (2014; Zbl 1299.76032) Full Text: DOI arXiv
Constantin, Peter; Glatt-Holtz, Nathan; Vicol, Vlad Unique ergodicity for fractionally dissipated, stochastically forced 2D Euler equations. (English) Zbl 1294.35078 Commun. Math. Phys. 330, No. 2, 819-857 (2014). MSC: 35Q31 35R11 35A01 35A02 35R60 76D05 PDFBibTeX XMLCite \textit{P. Constantin} et al., Commun. Math. Phys. 330, No. 2, 819--857 (2014; Zbl 1294.35078) Full Text: DOI arXiv
Constantin, Peter; Tarfulea, Andrei; Vicol, Vlad Absence of anomalous dissipation of energy in forced two dimensional fluid equations. (English) Zbl 1296.35117 Arch. Ration. Mech. Anal. 212, No. 3, 875-903 (2014). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q30 76D05 35Q35 86A05 PDFBibTeX XMLCite \textit{P. Constantin} et al., Arch. Ration. Mech. Anal. 212, No. 3, 875--903 (2014; Zbl 1296.35117) Full Text: DOI arXiv
Li, Pengtao; Yang, Qixiang Well-posedness of quasi-geostrophic equations with data in Besov-\(Q\) spaces. (English) Zbl 1284.35320 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 94, 243-258 (2014). MSC: 35Q30 76D03 42B35 46E30 35B65 42C40 PDFBibTeX XMLCite \textit{P. Li} and \textit{Q. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 94, 243--258 (2014; Zbl 1284.35320) Full Text: DOI
Badin, G. Surface semi-geostrophic dynamics in the ocean. (English) Zbl 1521.86003 Geophys. Astrophys. Fluid Dyn. 107, No. 5, 526-540 (2013). MSC: 86A05 PDFBibTeX XMLCite \textit{G. Badin}, Geophys. Astrophys. Fluid Dyn. 107, No. 5, 526--540 (2013; Zbl 1521.86003) Full Text: DOI
Ashbee, T. L.; Esler, J. G.; McDonald, N. R. Generalized Hamiltonian point vortex dynamics on arbitrary domains using the method of fundamental solutions. (English) Zbl 1349.76582 J. Comput. Phys. 246, 289-303 (2013). MSC: 76M25 65M80 76D17 76F20 PDFBibTeX XMLCite \textit{T. L. Ashbee} et al., J. Comput. Phys. 246, 289--303 (2013; Zbl 1349.76582) Full Text: DOI