- 852
- 658Publications László Székelyhidi
Journal Articles
Francisco Mengual and László Székelyhidi:
Dissipative Euler flows for vortex sheet initial data without distinguished sign
In: Communications on pure and applied mathematics,
76 (2023) 1, p. 163-221
Bibtex DOI: 10.1002/cpa.22038 ARXIV: https://arxiv.org/abs/2005.08333Wentao Cao and László Székelyhidi:
Global Nash-Kuiper theorem for compact manifolds
In: Journal of differential geometry,
122 (2022) 1, p. 35-68
Bibtex DOI: 10.4310/jdg/1668186787 ARXIV: https://arxiv.org/abs/1906.08608Camillo De Lellis and László Székelyhidi:
Weak stability and closure in turbulence
In: Philosophical transactions of the Royal Society / A,
380 (2022) 2218, 20210091
Bibtex DOI: 10.1098/rsta.2021.0091 ARXIV: https://arxiv.org/abs/2108.01597Jan Burczak ; Stefano Modena and László Székelyhidi:
Non uniqueness of power-law flows
In: Communications in mathematical physics,
388 (2021) 1, p. 199-243
Bibtex DOI: 10.1007/s00220-021-04231-7 ARXIV: https://arxiv.org/abs/2007.08011Sara Daneri ; Eris Runa and László Székelyhidi:
Non-uniqueness for the Euler equations up to Onsager's critical exponent
In: Annals of PDE,
7 (2021) 1, 8
Bibtex DOI: 10.1007/s40818-021-00097-z ARXIV: https://arxiv.org/abs/2004.00391Daniel Faraco ; Sauli Lindberg and László Székelyhidi:
Bounded solutions of ideal MHD with compact support in space-time
In: Archive for rational mechanics and analysis,
239 (2021) 1, p. 51-93
Bibtex DOI: 10.1007/s00205-020-01570-y ARXIV: https://arxiv.org/abs/1909.08678Björn Gebhard ; József J. Kolumbán and László Székelyhidi:
A new approach to the Rayleigh-Taylor instability
In: Archive for rational mechanics and analysis,
241 (2021) 3, p. 1243-1280
Bibtex DOI: 10.1007/s00205-021-01672-1 ARXIV: https://arxiv.org/abs/2002.08843Florent Noisette and László Székelyhidi:
Mixing solutions for the Muskat problem with variable speed
In: Journal of evolution equations,
21 (2021) 3, p. 3289-3312
Bibtex DOI: 10.1007/s00028-020-00655-1 ARXIV: https://arxiv.org/abs/2005.08814Tristan Buckmaster ; Camillo De Lellis ; László Székelyhidi and Vlad Vicol:
Onsager's conjecture for admissible weak solutions
In: Communications on pure and applied mathematics,
72 (2019) 2, p. 229-274
Bibtex DOI: 10.1002/cpa.21781 ARXIV: https://arxiv.org/abs/1701.08678Wentao Cao and László Székelyhidi:
\(C^{1,\alpha}\) isometric extensions
In: Communications in partial differential equations,
44 (2019) 7, p. 613-636
Bibtex DOI: 10.1080/03605302.2019.1581806 ARXIV: https://arxiv.org/abs/1806.07335Wentao Cao and László Székelyhidi:
Very weak solutions to the two-dimensional Monge-Ampére equation
In: Science China mathematics,
62 (2019) 6, p. 1041-1056
Bibtex DOI: 10.1007/s11425-018-9516-7 ARXIV: https://arxiv.org/abs/1903.06213Camillo De Lellis and László Székelyhidi:
On turbulence and geometry : from Nash to Onsager
In: Notices of the American Mathematical Society,
66 (2019) 5, p. 677-685
Bibtex DOI: 10.1090.noti1868 ARXIV: https://arxiv.org/abs/1901.02318Stefano Modena and László Székelyhidi:
Non-renormalized solutions to the continuity equation
In: Calculus of variations and partial differential equations,
58 (2019) 6, 208
Bibtex DOI: 10.1007/s00526-019-1651-8 ARXIV: https://arxiv.org/abs/1806.09145László Székelyhidi:
Instabilities and non-uniqueness in ideal fluids [In: Mathematical aspects of hydrodynamics
; 18 August - 24 August 2019 ; report no. 38/2019]
In: Oberwolfach reports,
16 (2019) 3, p. 2350-2351
Bibtex DOI: 10.4171/OWR/2019/38 LINK: https://publications.mfo.de/handle/mfo/3786László Székelyhidi:
Instabilities and non-uniqueness in ideal fluids [In: Nonlinear hyperbolic problems
: modeling, analysis, and numerics ; 19 May - 25 May 2019 ; report no. 24/2019]
In: Oberwolfach reports,
16 (2019) 2, p. 1458-1459
Bibtex DOI: 10.4171/OWR/2019/24 LINK: https://publications.mfo.de/handle/mfo/3757Camillo De Lellis ; Dominik Inauen and László Székelyhidi:
A Nash-Kuiper theorem for \(C^{1,\frac{1}{5}-\delta}\) immersions of surfaces in \(3\)
dimensions
In: Revista Matemática Iberoamericana,
34 (2018) 3, p. 1119-1152
Bibtex DOI: 10.4171/RMI/1019 ARXIV: https://arxiv.org/abs/1510.01934Clemens Förster and László Székelyhidi:
Piecewise constant subsolutions for the Muskat problem
In: Communications in mathematical physics,
363 (2018) 3, p. 1051-1080
Bibtex DOI: 10.1007/s00220-018-3245-2 ARXIV: https://arxiv.org/abs/1709.05155Clemens Förster and László Székelyhidi:
\(T_5\)-configurations and non-rigid sets of matrices
In: Calculus of variations and partial differential equations,
57 (2018) 1, 19
Bibtex DOI: 10.1007/s00526-017-1293-7 LINK: https://www.math.uni-leipzig.de/preprints/p1712.0020.pdfStefano Modena and László Székelyhidi:
Non-uniqueness for the transport equation with Sobolev vector fields
In: Annals of PDE,
4 (2018) 2, 18
Bibtex DOI: 10.1007/s40818-018-0056-x ARXIV: https://arxiv.org/abs/1712.03867Sara Daneri and László Székelyhidi:
Non-uniqueness and \(\mathscr h\)-principle for Hölder-continuous weak solutions
of the Euler equations
In: Archive for rational mechanics and analysis,
224 (2017) 2, p. 471-514
Bibtex DOI: 10.1007/s00205-017-1081-8 ARXIV: https://arxiv.org/abs/1603.09714Camillo De Lellis and László Székelyhidi:
High dimensionality and h-principle in PDE
In: Bulletin of the American Mathematical Society,
54 (2017) 2, p. 247-282
Bibtex DOI: 10.1090/bull/1549 ARXIV: https://arxiv.org/abs/1609.03180Gabriella Sebestyén and László Székelyhidi:
Laminates supported on cubes
In: Journal of convex analysis,
24 (2017) 4, p. 1217-1237
Bibtex ARXIV: https://arxiv.org/abs/1504.06516 LINK: http://www.heldermann.de/JCA/JCA24/JCA244/jca24070.htm#jca244Tristan Buckmaster ; Camillo De Lellis and László Székelyhidi:
Dissipative Euler flows with Onsager-critical spatial regularity
In: Communications on pure and applied mathematics,
69 (2016) 9, p. 1613-1670
Bibtex DOI: 10.1002/cpa.21586 ARXIV: https://arxiv.org/abs/1404.6915Camillo De Lellis ; John Milnor ; John Nachbar ; Jonathan Weinstein ; Henry C. King ; László Székelyhidi and Cédric Villani:
John Forbes Nash Jr. (1928-2015)
In: Notices of the American Mathematical Society,
63 (2016) 5, p. 492-504
Bibtex DOI: 10.1090/noti1366Tristan Buckmaster ; Camillo De Lellis ; Philip Isett and László Székelyhidi:
Anomalous dissipation for 1/5-Hölder Euler flows
In: Annals of mathematics,
182 (2015) 1, p. 127-172
Bibtex DOI: 10.4007/annals.2015.182.1.3 LINK: https://www.researchgate.net/publication/275259665Camillo De Lellis and László Székelyhidi:
On \(\mathscr h\)-principle and Onsager's conjecture
In: EMS newsletter,
95 (2015) 1, p. 19-24
Bibtex DOI: 10.4171/NEWSBernd Kirchheim ; Emanuele Spadaro and László Székelyhidi:
Equidimensional isometric maps
In: Commentarii mathematici Helvetici,
90 (2015) 4, p. 761-798
Bibtex MIS-Preprint: 89/2014 DOI: 10.4171/CMH/370 ARXIV: https://arxiv.org/abs/1408.6737Claude Bardos ; László Székelyhidi and Emil Wiedemann:
Non-uniqueness for the Euler equations : the effect of the boundary
In: Russian mathematical surveys,
69 (2014) 2, p. 189-207
Bibtex DOI: 10.1070/RM2014v069n02ABEH004886 ARXIV: https://arxiv.org/abs/1305.0773Claude Bardos ; László Székelyhidi and Emil Wiedemann:
Non-uniqueness for the Euler equations : the effect of the boundary
In: Uspechi matematiceskich nauk,
69 (2014) 2, p. 3-22
Bibtex DOI: 10.4213/rm9578 ARXIV: https://arxiv.org/abs/1305.0773Antoine Choffrut and László Székelyhidi:
Weak solutions to the stationary incompressible Euler equations
In: SIAM journal on mathematical analysis,
46 (2014) 6, p. 4060-4074
Bibtex DOI: 10.1137/140957354 ARXIV: https://arxiv.org/abs/1401.4301Camillo De Lellis and László Székelyhidi:
Dissipative Euler flows and Onsager's conjecture
In: Journal of the European Mathematical Society,
16 (2014) 7, p. 1467-1505
Bibtex DOI: 10.4171/JEMS/466 ARXIV: https://arxiv.org/abs/1205.3626Nicholas Boros ; László Székelyhidi and Alexander Volberg:
Laminates meet Burkholder functions
In: Journal de mathématiques pures et appliquées,
100 (2013) 5, p. 687-700
Bibtex DOI: 10.1016/j.matpur.2013.01.017 ARXIV: https://arxiv.org/abs/1109.4865Camillo De Lellis and László Székelyhidi:
Dissipative continuous Euler flows
In: Inventiones mathematicae,
193 (2013) 2, p. 377-407
Bibtex DOI: 10.1007/s00222-012-0429-9 ARXIV: https://arxiv.org/abs/1202.1751Kari Astala ; Albert Clop ; Daniel Faraco ; Jarmo Jääskeläinen and László Székelyhidi:
Uniqueness of normalized homeomorphic solutions to nonlinear Beltrami equations
In: International mathematics research notices,
2012 (2012) 18, p. 4101-4119
Bibtex DOI: 10.1093/imrn/rnr178 ARXIV: https://arxiv.org/abs/1012.2827Camillo De Lellis and László Székelyhidi:
The \(\mathscr h\)-principle and the equations of fluid dynamics
In: Bulletin of the American Mathematical Society,
49 (2012) 3, p. 347-375
Bibtex DOI: 10.1090/S0273-0979-2012-01376-9 ARXIV: https://arxiv.org/abs/1111.2700László Székelyhidi:
Global solutions of the 2D Euler equations, starting with the work of Witold Wolibner
In: Roczniki Polskiego Towarzystwa Matematycznego = Annales Societatis Mathematicae Polonae.
Seria 2, Wiadomosci matematyczne,
48 (2012) 2, p. 257-269
Bibtex DOI: 10.14708/wm.v48i2.336László Székelyhidi:
Relaxation of the incompressible porous media equation
In: Annales scientifiques de l'Ecole Normale Supérieure,
45 (2012) 3, p. 491-509
Bibtex DOI: 10.24033/asens.2171 ARXIV: https://arxiv.org/abs/1102.2597László Székelyhidi and Emil Wiedemann:
Young measures generated by ideal incompressible fluid flows
In: Archive for rational mechanics and analysis,
206 (2012) 1, p. 333-366
Bibtex DOI: 10.1007/s00205-012-0540-5 ARXIV: https://arxiv.org/abs/1101.3499Yann Brenier ; Camillo De Lellis and László Székelyhidi:
Weak-strong uniqueness for measure-valued solutions
In: Communications in mathematical physics,
305 (2011) 2, p. 351-361
Bibtex DOI: 10.1007/s00220-011-1267-0 ARXIV: https://arxiv.org/abs/0912.1028László Székelyhidi:
Weak solutions to the incompressible Euler equations with vortex sheet initial data
In: Comptes rendus mathematique,
349 (2011) 19-20, p. 1063-1066
Bibtex DOI: 10.1016/j.crma.2011.09.009 LINK: http://www.math.uni-leipzig.de/MI/szekelyhidi/Research_files/vortexsheet-corrected-2.pdfCamillo De Lellis and László Székelyhidi:
On admissibility criteria for weak solutions of the Euler equations
In: Archive for rational mechanics and analysis,
195 (2010) 1, p. 225-260
Bibtex DOI: 10.1007/s00205-008-0201-x ARXIV: https://arxiv.org/abs/0712.3288Camillo De Lellis and László Székelyhidi:
The Euler equations as a differential inclusion
In: Annals of mathematics,
170 (2009) 3, p. 1417-1436
Bibtex DOI: 10.4007/annals.2009.170.1417 ARXIV: https://arxiv.org/abs/math/0702079Kari Astala ; Daniel Faraco and László Székelyhidi:
Convex integration and the \({L}^{p}\) theory of elliptic equations
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze,
7 (2008) 1, p. 1-50
Bibtex MIS-Preprint: 70/2004 DOI: 10.2422/2036-2145.2008.1.01Daniel Faraco and László Székelyhidi:
Tartar's conjecture and localization of the quasiconvex hull in \(\mathbb{R}^{2\times2}\)
In: Acta mathematica,
200 (2008) 2, p. 279-305
Bibtex MIS-Preprint: 60/2006 DOI: 10.1007/s11511-008-0028-1László Székelyhidi and Bernd Kirchheim:
On the gradient set of Lipschitz maps
In: Journal für die reine und angewandte Mathematik (Crelle's Journal),
625 (2008), p. 215-229
Bibtex MIS-Preprint: 16/2007 DOI: 10.1515/CRELLE.2008.095László Székelyhidi:
Erratum to: 'Rank-one convex hulls in \(\mathbb{R}^{2\times2}\)'
In: Calculus of variations and partial differential equations,
28 (2007) 4, p. 545-546
Bibtex DOI: 10.1007/s00526-006-0053-xCamillo De Lellis and László Székelyhidi:
Simple proof of two-well rigidity
In: Comptes rendus mathematique,
343 (2006) 5, p. 367-370
Bibtex DOI: 10.1016/j.crma.2006.07.008László Székelyhidi:
On quasiconvex hulls in symmetric \(2\times 2\) matrices
In: Annales de l'Institut Henri Poincaré / C,
23 (2006) 6, p. 865-876
Bibtex DOI: 10.1016/j.anihpc.2005.11.001László Székelyhidi:
On the local structure of rank-one convex hulls
In: Proceedings of the American Mathematical Society,
134 (2006) 7, p. 1963-1972
Bibtex DOI: 10.1090/S0002-9939-05-08299-7László Székelyhidi:
Rank-one convex hulls in \(\mathbb{R}^{2\times2}\)
In: Calculus of variations and partial differential equations,
22 (2005) 3, p. 253-281
Bibtex MIS-Preprint: 69/2003 DOI: 10.1007/s00526-004-0272-yLászló Székelyhidi:
The regularity of critical points of polyconvex functionals
In: Archive for rational mechanics and analysis,
172 (2004) 1, p. 133-152
Bibtex MIS-Preprint: 68/2003 DOI: 10.1007/s00205-003-0300-7Publications in Books and Conference Proceedings
László Székelyhidi:
The \(\mathscr h\)-principle and turbulence
In: Proceedings of the international congress of mathematicians : August 13-21, 2014,
Seoul, Korea ; Volume III - Invited lectures / Sun Young Jang... (eds.)
Bibtex LINK: http://www.icm2014.org/download/Proceedings_Volume_III.pdfSeoul : Kyung moon sa, 2014. - P. 503-523
Camillo De Lellis and László Székelyhidi:
Continuous dissipative Euler flows and a conjecture of Onsager
In: Proceedings of the 6th european congress of mathematics, Kraków, Poland,
July 2-7 July, 2012 / Rafał Latała (ed.)
Bibtex DOI: 10.4171/120-1/2Zürich : European Mathematical Society, 2013. - P. 13-29
László Székelyhidi:
From isometric embeddings to turbulence
In: HCDTE lecture notes. Part II. Nonlinear hyperbolic PDEs, dispersive and transport
equations / Giovanni Alberti... (eds.)
Springfield : American Institute of Mathematical Sciences, 2013. - P. 195-255
(AIMS series on applied mathematics ; 7)
Bibtex LINK: https://aimsciences.org/book/AM/volume/Volume%207Sergio Conti ; Camillo De Lellis and László Székelyhidi:
\(\mathscr h\)-principle and rigidity for \(C^{1,a}\) isometric embeddings
In: Nonlinear partial differential equations : the Abel symposium 2010 ; proceedings of
the Abel symposium, Oslo, Norway, September 28-October 2, 2010 / Helge Holden... (eds.)
Bibtex DOI: 10.1007/978-3-642-25361-4_5 ARXIV: https://arxiv.org/abs/0905.0370Berlin : Springer, 2012. - P. 83-116
László Székelyhidi:
Counterexamples to elliptic regularity and convex integration
In: The interaction of analysis and geometry : international school-conference on analysis
and geometry, Novosibirsk, Russia, August 23-September 3, 2004
Providence, RI : American Mathematical Society, 2007. - P. 227-245
(Contemporary mathematics ; 424)
Bibtex DOI: 10.1090/conm/424 LINK: https://www.math.uni-leipzig.de/preprints/p1106.0060.pdfPreprints
Sam G. Krupa and László Székelyhidi:
Nonexistence of \(T_4\) configurations for hyperbolic systems and the Liu entropy
condition
Repository Open AccessDaniel Faraco ; Sauli Lindberg and László Székelyhidi:
Magnetic helicity, weak solutions and relaxation of ideal MHD
Repository Open AccessTristan Buckmaster ; Camillo De Lellis and László Székelyhidi:
Transporting microstructure and dissipative Euler flows
Repository Open AccessAntoine Choffrut ; Camillo De Lellis and László Székelyhidi:
Dissipative continuous Euler flows in two and three dimensions
Repository Open AccessNicholas Boros ; László Székelyhidi and Alexander Volberg:
The \(L^p\)-operator norm of a quadratic perturbation of the real part of the Ahlfors-Beurling
operator
Repository Open AccessAcademic Theses
László Székelyhidi:
Elliptic regularity versus rank-one convexity
Dissertation, Universität Leipzig, 2004
Bibtex 