Burczak, Jan; Modena, Stefano; Székelyhidi, László Non uniqueness of power-law flows. (English) Zbl 1477.35158 Commun. Math. Phys. 388, No. 1, 199-243 (2021). MSC: 35Q35 35Q31 35Q30 76F65 35D30 35R25 35A01 35A02 PDF BibTeX XML Cite \textit{J. Burczak} et al., Commun. Math. Phys. 388, No. 1, 199--243 (2021; Zbl 1477.35158) Full Text: DOI arXiv OpenURL
Gebhard, Björn; Kolumbán, József J.; Székelyhidi, László Jr. A new approach to the Rayleigh-Taylor instability. (English) Zbl 1479.35643 Arch. Ration. Mech. Anal. 241, No. 3, 1243-1280 (2021). Reviewer: Gheorghe Moroşanu (Cluj-Napoca) MSC: 35Q31 76F35 76F25 76E05 76T06 35D30 35A01 35B35 PDF BibTeX XML Cite \textit{B. Gebhard} et al., Arch. Ration. Mech. Anal. 241, No. 3, 1243--1280 (2021; Zbl 1479.35643) Full Text: DOI arXiv OpenURL
Daneri, Sara; Runa, Eris; Székelyhidi, László Non-uniqueness for the Euler equations up to Onsager’s critical exponent. (English) Zbl 1478.35171 Ann. PDE 7, No. 1, Paper No. 8, 44 p. (2021). Reviewer: Mikhail Turbin (Voronezh) MSC: 35Q31 76B03 35D30 35B44 35B33 35A02 PDF BibTeX XML Cite \textit{S. Daneri} et al., Ann. PDE 7, No. 1, Paper No. 8, 44 p. (2021; Zbl 1478.35171) Full Text: DOI arXiv OpenURL
De Lellis, Camillo; Székelyhidi, László jun. On turbulence and geometry: from Nash to Onsager. (English) Zbl 1436.76009 Notices Am. Math. Soc. 66, No. 5, 677-685 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 76F02 35Q30 35Q31 58Z05 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Notices Am. Math. Soc. 66, No. 5, 677--685 (2019; Zbl 1436.76009) Full Text: DOI arXiv OpenURL
Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun.; Vicol, Vlad Onsager’s conjecture for admissible weak solutions. (English) Zbl 1480.35317 Commun. Pure Appl. Math. 72, No. 2, 229-274 (2019). MSC: 35Q31 35D30 76B03 PDF BibTeX XML Cite \textit{T. Buckmaster} et al., Commun. Pure Appl. Math. 72, No. 2, 229--274 (2019; Zbl 1480.35317) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
De Lellis, Camillo; Székelyhidi, László jun. High dimensionality and \(h\)-principle in PDE. (English) Zbl 1366.35120 Bull. Am. Math. Soc., New Ser. 54, No. 2, 247-282 (2017). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q31 35A01 35D30 76F02 53A99 53C21 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Bull. Am. Math. Soc., New Ser. 54, No. 2, 247--282 (2017; Zbl 1366.35120) Full Text: DOI arXiv OpenURL
Buckmaster, Tristan; De Lellis, Camillo; Székelyhidi, László jun. Dissipative Euler flows with Onsager-critical spatial regularity. (English) Zbl 1351.35109 Commun. Pure Appl. Math. 69, No. 9, 1613-1670 (2016). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q31 35D30 35B65 PDF BibTeX XML Cite \textit{T. Buckmaster} et al., Commun. Pure Appl. Math. 69, No. 9, 1613--1670 (2016; Zbl 1351.35109) Full Text: DOI arXiv OpenURL
Buckmaster, Tristan; De Lellis, Camillo; Isett, Philip; Székelyhidi, László jun. Anomalous dissipation for \(1/5\)-Hölder Euler flows. (English) Zbl 1330.35303 Ann. Math. (2) 182, No. 1, 127-172 (2015). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35Q31 76B03 PDF BibTeX XML Cite \textit{T. Buckmaster} et al., Ann. Math. (2) 182, No. 1, 127--172 (2015; Zbl 1330.35303) Full Text: DOI OpenURL
De Lellis, Camillo; Székelyhidi, László The \(h\)-principle and Onsager’s conjecture. (English) Zbl 1335.35189 Eur. Math. Soc. Newsl. 95, 19-24 (2015). Reviewer: Milan Pokorný (Praha) MSC: 35Q31 58A20 76B03 35D30 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi}, Eur. Math. Soc. Newsl. 95, 19--24 (2015; Zbl 1335.35189) OpenURL
Székelyhidi, László jun. The \(h\)-principle and turbulence. (English) Zbl 1373.35085 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 503-523 (2014). MSC: 35D30 76F05 34A60 53B20 35Q31 PDF BibTeX XML Cite \textit{L. Székelyhidi jun.}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa. 503--523 (2014; Zbl 1373.35085) OpenURL
Choffrut, A.; Székelyhidi, L. jun. Weak solutions to the stationary incompressible Euler equations. (English) Zbl 1311.35194 SIAM J. Math. Anal. 46, No. 6, 4060-4074 (2014). MSC: 35Q31 35D30 35Q35 76B03 PDF BibTeX XML Cite \textit{A. Choffrut} and \textit{L. Székelyhidi jun.}, SIAM J. Math. Anal. 46, No. 6, 4060--4074 (2014; Zbl 1311.35194) Full Text: DOI arXiv Link OpenURL
De Lellis, Camillo; Székelyhidi, László jun. Dissipative Euler flows and Onsager’s conjecture. (English) Zbl 1307.35205 J. Eur. Math. Soc. (JEMS) 16, No. 7, 1467-1505 (2014). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q31 76F02 35D30 35B10 76B03 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, J. Eur. Math. Soc. (JEMS) 16, No. 7, 1467--1505 (2014; Zbl 1307.35205) Full Text: DOI arXiv OpenURL
Bardos, C.; Székelyhidi, L. jun.; Wiedemann, E. Non-uniqueness for the Euler equations: the effect of the boundary. (English. Russian original) Zbl 1301.35097 Russ. Math. Surv. 69, No. 2, 189-207 (2014); translation from Usp. Mat. Nauk 69, No. 2, 3-22 (2014). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q31 35D30 35Q35 76B03 PDF BibTeX XML Cite \textit{C. Bardos} et al., Russ. Math. Surv. 69, No. 2, 189--207 (2014; Zbl 1301.35097); translation from Usp. Mat. Nauk 69, No. 2, 3--22 (2014) Full Text: DOI arXiv OpenURL
De Lellis, Camillo; Székelyhidi, László Continuous dissipative Euler flows and a conjecture of Onsager. (English) Zbl 1364.35250 Latała, Rafał (ed.) et al., European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2–7 July, 2012. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-120-0/hbk). 13-29 (2013). MSC: 35Q31 35D30 53B20 76B03 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi}, in: European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2--7 July, 2012. Zürich: European Mathematical Society (EMS). 13--29 (2013; Zbl 1364.35250) Full Text: DOI Link OpenURL
De Lellis, Camillo; Székelyhidi, László jun. Dissipative continuous Euler flows. (English) Zbl 1280.35103 Invent. Math. 193, No. 2, 377-407 (2013). Reviewer: Laurent Thomann (Nantes) MSC: 35Q31 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Invent. Math. 193, No. 2, 377--407 (2013; Zbl 1280.35103) Full Text: DOI arXiv Link OpenURL
Székelyhidi, László jun. Global solutions of the 2D Euler equations, starting with the work of Witold Wolibner. (English) Zbl 1273.35219 Wiadom. Mat. 48, No. 2, 257-269 (2012). MSC: 35Q31 35-03 76-03 01A60 PDF BibTeX XML Cite \textit{L. Székelyhidi jun.}, Wiadom. Mat. 48, No. 2, 257--269 (2012; Zbl 1273.35219) OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Székelyhidi, László jun. Relaxation of the incompressible porous media equation. (Relaxation de l’équation des milieux poreux incompressible.) (English. French summary) Zbl 1256.35073 Ann. Sci. Éc. Norm. Supér. (4) 45, No. 3, 491-509 (2012). MSC: 35Q31 35D30 35Q35 PDF BibTeX XML Cite \textit{L. Székelyhidi jun.}, Ann. Sci. Éc. Norm. Supér. (4) 45, No. 3, 491--509 (2012; Zbl 1256.35073) Full Text: DOI arXiv Link OpenURL
Székelyhidi, László jun.; Wiedemann, Emil Young measures generated by ideal incompressible fluid flows. (English) Zbl 1256.35072 Arch. Ration. Mech. Anal. 206, No. 1, 333-366 (2012). MSC: 35Q31 35D30 35R06 PDF BibTeX XML Cite \textit{L. Székelyhidi jun.} and \textit{E. Wiedemann}, Arch. Ration. Mech. Anal. 206, No. 1, 333--366 (2012; Zbl 1256.35072) Full Text: DOI arXiv OpenURL
Székelyhidi, László jun. Weak solutions to the incompressible Euler equations with vortex sheet initial data. (English. French summary) Zbl 1230.35093 C. R., Math., Acad. Sci. Paris 349, No. 19-20, 1063-1066 (2011). MSC: 35Q31 35D30 76N10 PDF BibTeX XML Cite \textit{L. Székelyhidi jun.}, C. R., Math., Acad. Sci. Paris 349, No. 19--20, 1063--1066 (2011; Zbl 1230.35093) Full Text: DOI OpenURL
Brenier, Yann; De Lellis, Camillo; Székelyhidi, László jun. Weak-strong uniqueness for measure-valued solutions. (English) Zbl 1219.35182 Commun. Math. Phys. 305, No. 2, 351-361 (2011). MSC: 35Q31 35A02 PDF BibTeX XML Cite \textit{Y. Brenier} et al., Commun. Math. Phys. 305, No. 2, 351--361 (2011; Zbl 1219.35182) Full Text: DOI arXiv Link OpenURL
De Lellis, Camillo; Székelyhidi, László jun. On admissibility criteria for weak solutions of the Euler equations. (English) Zbl 1192.35138 Arch. Ration. Mech. Anal. 195, No. 1, 225-260 (2010). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q31 76B03 76N10 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Arch. Ration. Mech. Anal. 195, No. 1, 225--260 (2010; Zbl 1192.35138) Full Text: DOI arXiv Link OpenURL
De Lellis, Camillo; Székelyhidi, László jun. The Euler equations as a differential inclusion. (English) Zbl 1350.35146 Ann. Math. (2) 170, No. 3, 1417-1436 (2009). MSC: 35Q31 35D30 76B03 34A60 PDF BibTeX XML Cite \textit{C. De Lellis} and \textit{L. Székelyhidi jun.}, Ann. Math. (2) 170, No. 3, 1417--1436 (2009; Zbl 1350.35146) Full Text: DOI arXiv Link OpenURL
Székelyhidi, László jun. The regularity of critical points of polyconvex functionals. (English) Zbl 1049.49017 Arch. Ration. Mech. Anal. 172, No. 1, 133-152 (2004). MSC: 49J45 49N60 58E05 PDF BibTeX XML Cite \textit{L. Székelyhidi jun.}, Arch. Ration. Mech. Anal. 172, No. 1, 133--152 (2004; Zbl 1049.49017) Full Text: DOI OpenURL