Barker, Tobias; Prange, Christophe; Tan, Jin On symmetry breaking for the Navier-Stokes equations. (English) Zbl 07801687 Commun. Math. Phys. 405, No. 2, Paper No. 25, 39 p. (2024). MSC: 35Q30 35Q31 76D05 76D03 76B03 35D30 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{T. Barker} et al., Commun. Math. Phys. 405, No. 2, Paper No. 25, 39 p. (2024; Zbl 07801687) Full Text: DOI arXiv
Isett, Philip Regularity in time along the coarse scale flow for the incompressible Euler equations. (English) Zbl 1522.35388 Trans. Am. Math. Soc. 376, No. 10, 6927-6987 (2023). MSC: 35Q31 76B03 35D30 35B65 35A01 PDFBibTeX XMLCite \textit{P. Isett}, Trans. Am. Math. Soc. 376, No. 10, 6927--6987 (2023; Zbl 1522.35388) Full Text: DOI arXiv
Boutros, Daniel W.; Markfelder, Simon; Titi, Edriss S. On energy conservation for the hydrostatic Euler equations: an Onsager conjecture. (English) Zbl 1526.76007 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 219, 40 p. (2023). Reviewer: Raphaël Danchin (Paris) MSC: 76B03 35Q31 PDFBibTeX XMLCite \textit{D. W. Boutros} et al., Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 219, 40 p. (2023; Zbl 1526.76007) Full Text: DOI arXiv
Choi, Kyudong; Jeong, In-Jee Filamentation near Hill’s vortex. (English) Zbl 1512.76023 Commun. Partial Differ. Equations 48, No. 1, 54-85 (2023). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 76B47 76B03 35Q31 PDFBibTeX XMLCite \textit{K. Choi} and \textit{I.-J. Jeong}, Commun. Partial Differ. Equations 48, No. 1, 54--85 (2023; Zbl 1512.76023) Full Text: DOI arXiv
Khesin, Boris; Misiołek, Gerard; Shnirelman, Alexander Geometric hydrodynamics in open problems. (English) Zbl 1509.35198 Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 15, 43 p. (2023). MSC: 35Q31 35Q35 76-02 76B03 76N10 76U60 58D05 35A15 35A20 35A21 35A01 35A02 35B41 35B65 PDFBibTeX XMLCite \textit{B. Khesin} et al., Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 15, 43 p. (2023; Zbl 1509.35198) Full Text: DOI arXiv
Chae, Dongho; Jeong, In-Jee Active vector models generalising 3D Euler and electron-MHD equations. (English) Zbl 1513.76166 Nonlinearity 36, No. 1, 458-475 (2023). MSC: 76W05 76B47 35Q35 PDFBibTeX XMLCite \textit{D. Chae} and \textit{I.-J. Jeong}, Nonlinearity 36, No. 1, 458--475 (2023; Zbl 1513.76166) Full Text: DOI arXiv
Jeong, In-Jee Loss of regularity for the 2D Euler equations. (English) Zbl 1493.76011 J. Math. Fluid Mech. 23, No. 4, Paper No. 95, 11 p. (2021). Reviewer: Song Jiang (Beijing) MSC: 76B03 35Q31 PDFBibTeX XMLCite \textit{I.-J. Jeong}, J. Math. Fluid Mech. 23, No. 4, Paper No. 95, 11 p. (2021; Zbl 1493.76011) Full Text: DOI arXiv
Chae, Dongho; Wolf, Jörg The Euler equations in a critical case of the generalized Campanato space. (English) Zbl 1458.35308 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 2, 201-241 (2021). MSC: 35Q31 76B03 35B44 PDFBibTeX XMLCite \textit{D. Chae} and \textit{J. Wolf}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 2, 201--241 (2021; Zbl 1458.35308) Full Text: DOI arXiv
Bardos, Claude; Besse, Nicolas; Nguyen, Toan T. Onsager-type conjecture and renormalized solutions for the relativistic Vlasov-Maxwell system. (English) Zbl 1431.35189 Q. Appl. Math. 78, No. 2, 193-217 (2020). MSC: 35Q60 35Q61 35Q83 PDFBibTeX XMLCite \textit{C. Bardos} et al., Q. Appl. Math. 78, No. 2, 193--217 (2020; Zbl 1431.35189) Full Text: DOI arXiv
Elgindi, Tarek M.; Masmoudi, Nader \(L^\infty\) ill-posedness for a class of equations arising in hydrodynamics. (English) Zbl 1507.35153 Arch. Ration. Mech. Anal. 235, No. 3, 1979-2025 (2020). MSC: 35Q31 35R25 76S05 35Q86 86A05 76U60 PDFBibTeX XMLCite \textit{T. M. Elgindi} and \textit{N. Masmoudi}, Arch. Ration. Mech. Anal. 235, No. 3, 1979--2025 (2020; Zbl 1507.35153) Full Text: DOI arXiv
Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil Onsager’s conjecture with physical boundaries and an application to the vanishing viscosity limit. (English) Zbl 1420.35203 Commun. Math. Phys. 370, No. 1, 291-310 (2019). MSC: 35Q31 76D10 35B65 PDFBibTeX XMLCite \textit{C. Bardos} et al., Commun. Math. Phys. 370, No. 1, 291--310 (2019; Zbl 1420.35203) Full Text: DOI arXiv
Bardos, Claude; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Titi, Edriss S.; Wiedemann, Emil On the extension of Onsager’s conjecture for general conservation laws. (English) Zbl 1420.35202 J. Nonlinear Sci. 29, No. 2, 501-510 (2019). MSC: 35Q31 35B33 76D05 PDFBibTeX XMLCite \textit{C. Bardos} et al., J. Nonlinear Sci. 29, No. 2, 501--510 (2019; Zbl 1420.35202) Full Text: DOI arXiv
Camliyurt, Guher; Kukavica, Igor On the Lagrangian and Eulerian analyticity for the Euler equations. (English) Zbl 1398.76021 Physica D 376-377, 121-130 (2018). MSC: 76B03 PDFBibTeX XMLCite \textit{G. Camliyurt} and \textit{I. Kukavica}, Physica D 376--377, 121--130 (2018; Zbl 1398.76021) Full Text: DOI
Misiołek, Gerard; Yoneda, Tsuyoshi Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces. (English) Zbl 1388.35160 Trans. Am. Math. Soc. 370, No. 7, 4709-4730 (2018). MSC: 35Q35 35B30 PDFBibTeX XMLCite \textit{G. Misiołek} and \textit{T. Yoneda}, Trans. Am. Math. Soc. 370, No. 7, 4709--4730 (2018; Zbl 1388.35160) Full Text: DOI arXiv
Daneri, Sara; Székelyhidi, László jun. Non-uniqueness and \(h\)-principle for Hölder-continuous weak solutions of the Euler equations. (English) Zbl 1372.35221 Arch. Ration. Mech. Anal. 224, No. 2, 471-514 (2017). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q31 35D30 76B03 PDFBibTeX XMLCite \textit{S. Daneri} and \textit{L. Székelyhidi jun.}, Arch. Ration. Mech. Anal. 224, No. 2, 471--514 (2017; Zbl 1372.35221) Full Text: DOI arXiv
Besse, Nicolas; Frisch, Uriel A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain. (English) Zbl 1371.35201 Commun. Math. Phys. 351, No. 2, 689-707 (2017). Reviewer: Cheng He (Beijing) MSC: 35Q31 35B65 PDFBibTeX XMLCite \textit{N. Besse} and \textit{U. Frisch}, Commun. Math. Phys. 351, No. 2, 689--707 (2017; Zbl 1371.35201) Full Text: DOI arXiv
Constantin, Peter; Kukavica, Igor; Vicol, Vlad Contrast between Lagrangian and Eulerian analytic regularity properties of Euler equations. (English) Zbl 1353.35233 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1569-1588 (2016). MSC: 35Q35 35Q30 76D09 35B65 PDFBibTeX XMLCite \textit{P. Constantin} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 6, 1569--1588 (2016; Zbl 1353.35233) Full Text: DOI arXiv
Cheskidov, A.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Shvydkoy, R. Energy conservation in two-dimensional incompressible ideal fluids. (English) Zbl 1351.35112 Commun. Math. Phys. 348, No. 1, 129-143 (2016). MSC: 35Q31 35Q30 76F02 PDFBibTeX XMLCite \textit{A. Cheskidov} et al., Commun. Math. Phys. 348, No. 1, 129--143 (2016; Zbl 1351.35112) Full Text: DOI
Misiołek, Gerard; Yoneda, Tsuyoshi Local ill-posedness of the incompressible Euler equations in \(C^1\) and \(B^1_{\infty,1}\). (English) Zbl 1336.35280 Math. Ann. 364, No. 1-2, 243-268 (2016); erratum ibid. 363, No. 3–4, 1399–1400 (2015). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 35B30 35A01 PDFBibTeX XMLCite \textit{G. Misiołek} and \textit{T. Yoneda}, Math. Ann. 364, No. 1--2, 243--268 (2016; Zbl 1336.35280) Full Text: DOI arXiv
Bourgain, Jean; Li, Dong Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces. (English) Zbl 1320.35266 Invent. Math. 201, No. 1, 97-157 (2015). MSC: 35Q31 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{D. Li}, Invent. Math. 201, No. 1, 97--157 (2015; Zbl 1320.35266) Full Text: DOI arXiv
Bourgain, Jean; Li, Dong Strong illposedness of the incompressible Euler equation in integer \(C^m\) spaces. (English) Zbl 1480.35316 Geom. Funct. Anal. 25, No. 1, 1-86 (2015). MSC: 35Q31 35B30 35R25 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{D. Li}, Geom. Funct. Anal. 25, No. 1, 1--86 (2015; Zbl 1480.35316) Full Text: DOI arXiv
Bardos, Claude; Tadmor, Eitan Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the \(2/3\) de-aliasing method. (English) Zbl 1310.76123 Numer. Math. 129, No. 4, 749-782 (2015). MSC: 76M22 65M70 65M12 35L65 35Q31 PDFBibTeX XMLCite \textit{C. Bardos} and \textit{E. Tadmor}, Numer. Math. 129, No. 4, 749--782 (2015; Zbl 1310.76123) Full Text: DOI arXiv
Sawada, Okihiro Remarks on shear flows of the Euler equations. (English) Zbl 1300.35086 J. Evol. Equ. 14, No. 3, 499-508 (2014). MSC: 35Q31 35Q35 76F30 PDFBibTeX XMLCite \textit{O. Sawada}, J. Evol. Equ. 14, No. 3, 499--508 (2014; Zbl 1300.35086) Full Text: DOI
Dumas, Eric; Sueur, Franck On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations. (English) Zbl 1294.35094 Commun. Math. Phys. 330, No. 3, 1179-1225 (2014). MSC: 35Q35 35Q61 35D30 35B65 76W05 78A25 PDFBibTeX XMLCite \textit{E. Dumas} and \textit{F. Sueur}, Commun. Math. Phys. 330, No. 3, 1179--1225 (2014; Zbl 1294.35094) Full Text: DOI arXiv
Daneri, S. Cauchy problem for dissipative Hölder solutions to the incompressible Euler equations. (English) Zbl 1298.35140 Commun. Math. Phys. 329, No. 2, 745-786 (2014). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35Q31 76B03 35Q35 35D30 PDFBibTeX XMLCite \textit{S. Daneri}, Commun. Math. Phys. 329, No. 2, 745--786 (2014; Zbl 1298.35140) Full Text: DOI arXiv
Tang, Hao; Liu, Zhengrong Continuous properties of the solution map for the Euler equations. (English) Zbl 1293.35229 J. Math. Phys. 55, No. 3, 031504, 10 p. (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q31 35B30 PDFBibTeX XMLCite \textit{H. Tang} and \textit{Z. Liu}, J. Math. Phys. 55, No. 3, 031504, 10 p. (2014; Zbl 1293.35229) Full Text: DOI
Gibbon, John D.; Titi, Edriss S. The 3D incompressible Euler equations with a passive scalar: a road to blow-up? (English) Zbl 1292.35216 J. Nonlinear Sci. 23, No. 6, 993-1000 (2013). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q31 35B44 76B03 PDFBibTeX XMLCite \textit{J. D. Gibbon} and \textit{E. S. Titi}, J. Nonlinear Sci. 23, No. 6, 993--1000 (2013; Zbl 1292.35216) Full Text: DOI arXiv
Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil The vanishing viscosity as a selection principle for the Euler equations: the case of 3D shear flow. (English. French summary) Zbl 1253.35107 C. R., Math., Acad. Sci. Paris 350, No. 15-16, 757-760 (2012). MSC: 35Q31 35D30 35Q30 76F10 PDFBibTeX XMLCite \textit{C. Bardos} et al., C. R., Math., Acad. Sci. Paris 350, No. 15--16, 757--760 (2012; Zbl 1253.35107) Full Text: DOI arXiv
Dascaliuc, R.; Grujić, Z. Anomalous dissipation and energy cascade in 3D inviscid flows. (English) Zbl 1235.76049 Commun. Math. Phys. 309, No. 3, 757-770 (2012). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76F99 35Q35 PDFBibTeX XMLCite \textit{R. Dascaliuc} and \textit{Z. Grujić}, Commun. Math. Phys. 309, No. 3, 757--770 (2012; Zbl 1235.76049) Full Text: DOI arXiv
Paicu, Marius; Vicol, Vlad Analyticity and gevrey-class regularity for the second-grade fluid equations. (English) Zbl 1270.35370 J. Math. Fluid Mech. 13, No. 4, 533-555 (2011). MSC: 35Q35 76A10 76B03 35Q31 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{V. Vicol}, J. Math. Fluid Mech. 13, No. 4, 533--555 (2011; Zbl 1270.35370) Full Text: DOI arXiv