De Lellis, Camillo The Nash-Kuiper theorem and the Onsager conjecture. (English) Zbl 1458.35312 ICCM Not. 8, No. 1, 17-26 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 35A01 35D30 53A99 53C21 76F02 PDF BibTeX XML Cite \textit{C. De Lellis}, ICCM Not. 8, No. 1, 17--26 (2020; Zbl 1458.35312) Full Text: DOI OpenURL
De Lellis, Camillo The Nash-Kuiper theorem and the Onsager conjecture. (English) Zbl 1436.35276 Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 43, 153-172 (2019). MSC: 35Q31 35A01 35D30 53A99 53C21 76F02 PDF BibTeX XML Cite \textit{C. De Lellis}, Adv. Lect. Math. (ALM) 43, 153--172 (2019; Zbl 1436.35276) 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
De Lellis, Camillo The Onsager theorem. (English) Zbl 1406.35247 Cao, Huai-Dong (ed.) et al., Celebrating the 50th anniversary of the Journal of Differential Geometry. Lectures given at the Geometry and Topology Conference at Harvard University, Cambridge, MA, USA, April 28 – May 2, 2017. Somerville, MA: International Press (ISBN 978-1-57146-361-6/hbk). Surveys in Differential Geometry 22, 71-101 (2018). MSC: 35Q31 35D30 35B65 76F02 76B03 PDF BibTeX XML Cite \textit{C. De Lellis}, Surv. Differ. Geom. 22, 71--101 (2018; Zbl 1406.35247) Full Text: DOI 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
Chiodaroli, Elisabetta; De Lellis, Camillo; Kreml, Ondřej Global ill-posedness of the isentropic system of gas dynamics. (English) Zbl 1323.35137 Commun. Pure Appl. Math. 68, No. 7, 1157-1190 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q31 35D30 76N10 PDF BibTeX XML Cite \textit{E. Chiodaroli} et al., Commun. Pure Appl. Math. 68, No. 7, 1157--1190 (2015; Zbl 1323.35137) 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
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
Alberti, Giovanni (ed.); Ancona, Fabio (ed.); Bianchini, Stefano (ed.); Crippa, Gianluca (ed.); De Lellis, Camillo (ed.); Marson, Andrea (ed.); Mascia, Corrado (ed.) HCDTE lecture notes. Part II. Nonlinear Hyperbolic PDEs, dispersive and transport equations. Lecture notes of some of the courses given during the trimester HCDTE, Trieste, Italy, May 16 – July 22, 2011. (English) Zbl 1307.35006 AIMS Series on Applied Mathematics 7. Springfield, MO: American Institute of Mathematical Sciences (AIMS) (ISBN 978-1-60133-015-4). vi, 292 p. (2013). MSC: 35-06 35Q31 35Q35 35Q74 00B25 PDF BibTeX XML Cite \textit{G. Alberti} (ed.) et al., HCDTE lecture notes. Part II. Nonlinear Hyperbolic PDEs, dispersive and transport equations. Lecture notes of some of the courses given during the trimester HCDTE, Trieste, Italy, May 16 -- July 22, 2011. Springfield, MO: American Institute of Mathematical Sciences (AIMS) (2013; Zbl 1307.35006) Full Text: 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
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
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
de Lellis, Camillo Ill-posedness for bounded admissible solutions of the 2-dimensional \(p\)-system. (English) Zbl 1187.35189 Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Plenary and invited talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4729-9/hbk; 978-0-8218-4728-2/2-vol. set). Proceedings of Symposia in Applied Mathematics 67, Part 1, 269-278 (2009). MSC: 35Q35 76N10 35Q31 PDF BibTeX XML Cite \textit{C. de Lellis}, Proc. Symp. Appl. Math. 67, 269--278 (2009; Zbl 1187.35189) OpenURL
De Lellis, Camillo The Euler equation from the viewpoint of differential inclusions. (Italian. English summary) Zbl 1191.35212 Boll. Unione Mat. Ital. (9) 1, No. 3, 873-879 (2008). MSC: 35Q31 76D03 35R70 PDF BibTeX XML Cite \textit{C. De Lellis}, Boll. Unione Mat. Ital. (9) 1, No. 3, 873--879 (2008; Zbl 1191.35212) OpenURL