Wang, Yanqing; Wang, Ruiling; Ye, Yulin Refined conserved quantities criteria for the ideal MHD equations in a bounded domain. (English) Zbl 07810104 Proc. Am. Math. Soc. 152, No. 4, 1673-1687 (2024). MSC: 35Q35 76D03 76W05 76F05 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Wang} et al., Proc. Am. Math. Soc. 152, No. 4, 1673--1687 (2024; Zbl 07810104) Full Text: DOI
Chen, Robin Ming; Liang, Zhilei; Wang, Dehua; Xu, Runzhang On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains. (English) Zbl 07791010 Sci. China, Math. 67, No. 1, 1-22 (2024). MSC: 35Q30 35Q31 35D30 76N10 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{R. M. Chen} et al., Sci. China, Math. 67, No. 1, 1--22 (2024; Zbl 07791010) Full Text: DOI
Xu, Qiuju; Wang, Huaqiao The energy conservation of the Landau-Lifshitz-Bloch equation. (English) Zbl 1524.82051 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 4, 1841-1851 (2023). MSC: 82D40 35K59 35D30 35B65 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{H. Wang}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 4, 1841--1851 (2023; Zbl 1524.82051) Full Text: DOI
Novack, Matthew; Vicol, Vlad An intermittent Onsager theorem. (English) Zbl 07698518 Invent. Math. 233, No. 1, 223-323 (2023). Reviewer: Christian Zillinger (Karlsruhe) MSC: 35Q31 76B03 76F02 76F05 35B65 35D30 PDFBibTeX XMLCite \textit{M. Novack} and \textit{V. Vicol}, Invent. Math. 233, No. 1, 223--323 (2023; Zbl 07698518) Full Text: DOI arXiv
Gotoda, Takeshi Energy conservation in the limit of filtered solutions for the 2D Euler equations. (English) Zbl 1497.35353 Nonlinearity 35, No. 10, 5014-5032 (2022). MSC: 35Q31 76B15 35D30 35Q35 PDFBibTeX XMLCite \textit{T. Gotoda}, Nonlinearity 35, No. 10, 5014--5032 (2022; Zbl 1497.35353) Full Text: DOI arXiv
Buckmaster, Tristan; Vicol, Vlad Convex integration constructions in hydrodynamics. (English) Zbl 1461.35186 Bull. Am. Math. Soc., New Ser. 58, No. 1, 1-44 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q30 35Q31 76D05 76W05 35D30 PDFBibTeX XMLCite \textit{T. Buckmaster} and \textit{V. Vicol}, Bull. Am. Math. Soc., New Ser. 58, No. 1, 1--44 (2021; Zbl 1461.35186) Full Text: DOI
Luo, Tianwen; Tao, Tao; Zhang, Liqun Finite energy weak solutions of 2d Boussinesq equations with diffusive temperature. (English) Zbl 1435.35281 Discrete Contin. Dyn. Syst. 40, No. 6, 3737-3765 (2020). MSC: 35Q30 76D03 35D30 35A01 PDFBibTeX XMLCite \textit{T. Luo} et al., Discrete Contin. Dyn. Syst. 40, No. 6, 3737--3765 (2020; Zbl 1435.35281) Full Text: DOI arXiv
Tao, Tao; Zhang, Liqun Hölder continuous solutions of Boussinesq equations. (English) Zbl 1438.35312 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 5, 1591-1616 (2018). MSC: 35Q30 76D03 35B65 PDFBibTeX XMLCite \textit{T. Tao} and \textit{L. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 5, 1591--1616 (2018; Zbl 1438.35312) Full Text: DOI
Isett, Philip A proof of Onsager’s conjecture. (English) Zbl 1416.35194 Ann. Math. (2) 188, No. 3, 871-963 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q31 35A02 35D30 76B03 76F02 76F05 PDFBibTeX XMLCite \textit{P. Isett}, Ann. Math. (2) 188, No. 3, 871--963 (2018; Zbl 1416.35194) Full Text: DOI arXiv Link Backlinks: MO
Drivas, Theodore D.; Nguyen, Huy Q. Onsager’s conjecture and anomalous dissipation on domains with boundary. (English) Zbl 1401.76068 SIAM J. Math. Anal. 50, No. 5, 4785-4811 (2018). MSC: 76F02 35Q30 35Q31 35Q35 PDFBibTeX XMLCite \textit{T. D. Drivas} and \textit{H. Q. Nguyen}, SIAM J. Math. Anal. 50, No. 5, 4785--4811 (2018; Zbl 1401.76068) Full Text: DOI arXiv
Leslie, Trevor M.; Shvydkoy, Roman The energy measure for the Euler and Navier-Stokes equations. (English) Zbl 1405.35141 Arch. Ration. Mech. Anal. 230, No. 2, 459-492 (2018). MSC: 35Q30 35B44 76D05 35R06 PDFBibTeX XMLCite \textit{T. M. Leslie} and \textit{R. Shvydkoy}, Arch. Ration. Mech. Anal. 230, No. 2, 459--492 (2018; Zbl 1405.35141) Full Text: DOI arXiv
Gwiazda, Piotr; Michálek, Martin; Świerczewska-Gwiazda, Agnieszka A note on weak solutions of conservation laws and energy/entropy conservation. (English) Zbl 1398.35168 Arch. Ration. Mech. Anal. 229, No. 3, 1223-1238 (2018). Reviewer: Long Wei (Hangzhou) MSC: 35Q35 35L65 35Q31 76W05 37K10 35Q79 35D30 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., Arch. Ration. Mech. Anal. 229, No. 3, 1223--1238 (2018; Zbl 1398.35168) Full Text: DOI arXiv
Tao, Tao; Zhang, Liqun Hölder continuous periodic solution of Boussinesq equation with partial viscosity. (English) Zbl 1393.35149 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 51, 55 p. (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q30 76D03 35B65 PDFBibTeX XMLCite \textit{T. Tao} and \textit{L. Zhang}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 51, 55 p. (2018; Zbl 1393.35149) Full Text: DOI arXiv
Tao, Tao; Zhang, Liqun On the continuous periodic weak solutions of Boussinesq equations. (English) Zbl 1391.35317 SIAM J. Math. Anal. 50, No. 1, 1120-1162 (2018). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76D03 35D30 35B10 PDFBibTeX XMLCite \textit{T. Tao} and \textit{L. Zhang}, SIAM J. Math. Anal. 50, No. 1, 1120--1162 (2018; Zbl 1391.35317) Full Text: DOI arXiv
Shvydkoy, Roman Homogeneous solutions to the 3D Euler system. (English) Zbl 1386.35333 Trans. Am. Math. Soc. 370, No. 4, 2517-2535 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 76B99 37J45 PDFBibTeX XMLCite \textit{R. Shvydkoy}, Trans. Am. Math. Soc. 370, No. 4, 2517--2535 (2018; Zbl 1386.35333) Full Text: DOI arXiv
Klainerman, Sergiu On Nash’s unique contribution to analysis in just three of his papers. (English) Zbl 1364.35007 Bull. Am. Math. Soc., New Ser. 54, No. 2, 283-305 (2017). MSC: 35-03 35-02 01A60 01A70 PDFBibTeX XMLCite \textit{S. Klainerman}, Bull. Am. Math. Soc., New Ser. 54, No. 2, 283--305 (2017; Zbl 1364.35007) Full Text: DOI
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
Isett, Philip; Oh, Sung-Jin On nonperiodic Euler flows with Hölder regularity. (English) Zbl 1338.35344 Arch. Ration. Mech. Anal. 221, No. 2, 725-804 (2016). MSC: 35Q31 35B65 35B10 PDFBibTeX XMLCite \textit{P. Isett} and \textit{S.-J. Oh}, Arch. Ration. Mech. Anal. 221, No. 2, 725--804 (2016; Zbl 1338.35344) Full Text: DOI arXiv Link
Isett, Philip; Oh, Sung-Jin A heat flow approach to Onsager’s conjecture for the Euler equations on manifolds. (English) Zbl 1335.58018 Trans. Am. Math. Soc. 368, No. 9, 6519-6537 (2016). MSC: 58J35 35Q31 PDFBibTeX XMLCite \textit{P. Isett} and \textit{S.-J. Oh}, Trans. Am. Math. Soc. 368, No. 9, 6519--6537 (2016; Zbl 1335.58018) Full Text: DOI arXiv Link
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
Luo, Xue; Shvydkoy, Roman 2D homogeneous solutions to the Euler equation. (English) Zbl 1329.35237 Commun. Partial Differ. Equations 40, No. 9, 1666-1687 (2015). MSC: 35Q31 76B03 37J45 35B65 35C06 PDFBibTeX XMLCite \textit{X. Luo} and \textit{R. Shvydkoy}, Commun. Partial Differ. Equations 40, No. 9, 1666--1687 (2015; Zbl 1329.35237) Full Text: DOI arXiv
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
Feireisl, Eduard Mathematical analysis of fluids in motion: from well-posedness to model reduction. (English) Zbl 1334.76124 Rev. Mat. Complut. 26, No. 2, 299-340 (2013). MSC: 76N10 35Q30 35Q35 PDFBibTeX XMLCite \textit{E. Feireisl}, Rev. Mat. Complut. 26, No. 2, 299--340 (2013; Zbl 1334.76124) Full Text: DOI
De Lellis, Camillo; Székelyhidi, László jun. The \(h\)-principle and the equations of fluid dynamics. (English) Zbl 1254.35180 Bull. Am. Math. Soc., New Ser. 49, No. 3, 347-375 (2012). MSC: 35Q31 76B03 76F02 35Q35 PDFBibTeX XMLCite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Bull. Am. Math. Soc., New Ser. 49, No. 3, 347--375 (2012; Zbl 1254.35180) Full Text: DOI arXiv
Dascaliuc, Radu; Grujić, Zoran Dissipation anomaly and energy cascade in 3D incompressible flows. (English. French summary) Zbl 1244.76013 C. R., Math., Acad. Sci. Paris 350, No. 3-4, 199-202 (2012). Reviewer: Dalibor Prazak (Praha) MSC: 76F05 35Q30 35Q31 PDFBibTeX XMLCite \textit{R. Dascaliuc} and \textit{Z. Grujić}, C. R., Math., Acad. Sci. Paris 350, No. 3--4, 199--202 (2012; Zbl 1244.76013) Full Text: DOI arXiv
Shvydkoy, R. Convex integration for a class of active scalar equations. (English) Zbl 1231.35177 J. Am. Math. Soc. 24, No. 4, 1159-1174 (2011). Reviewer: V. D. Sharma (Mumbai) MSC: 35Q35 76W05 35A01 35B10 35D30 PDFBibTeX XMLCite \textit{R. Shvydkoy}, J. Am. Math. Soc. 24, No. 4, 1159--1174 (2011; Zbl 1231.35177) Full Text: DOI arXiv