Differential Inclusions and Fluid Mechanics

Project Information

DIFFINCL

Grant agreement ID: 724298

DOI 10.3030/724298

Project closed

EC signature date 9 February 2017

Start date 1 April 2017

End date 30 September 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 860 875,00

EU contribution € 1 860 875,00

Coordinated by

UNIVERSITAET LEIPZIG
Germany

Publications

Peer reviewed articles (16)

Weak stablity and closure in turbulence

Author(s): C. De Lellis; L. Székelyhidi
Published in: Philosophical Transactions of the Royal Society A, Issue 1364503X, 2022, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0091

Mixing solutions for the Muskat problem with variable speed

Author(s): Florent Noisette; László Székelyhidi
Published in: Journal of Evolution Equations, Issue 14243199, 2021, ISSN 1424-3199
Publisher: Birkhauser Verlag
DOI: 10.1007/s00028-020-00655-1

Non Uniqueness of Power-Law Flows

Author(s): Jan Burczak; Stefano Modena; László Székelyhidi
Published in: Communications in Mathematical Physics, Issue 00103616, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04231-7

Piecewise Constant Subsolutions for the Muskat Problem

Author(s): Clemens Förster, László Székelyhidi
Published in: Communications in Mathematical Physics, Issue 363/3, 2018, Page(s) 1051-1080, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-018-3245-2

Very weak solutions to the two-dimensional Monge-Ampére equation

Author(s): Wentao Cao, László Székelyhidi
Published in: Science China Mathematics, Issue 62/6, 2019, Page(s) 1041-1056, ISSN 1674-7283
Publisher: Zhongguo Kexue Zazhishe/Science in China Press
DOI: 10.1007/s11425-018-9516-7

Global Entropy Solutions to the Gas Flow in General Nozzle

Author(s): Wentao Cao, Feimin Huang, Difan Yuan
Published in: SIAM Journal on Mathematical Analysis, Issue 51/4, 2019, Page(s) 3276-3297, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1249436

Non-uniqueness for the Transport Equation with Sobolev Vector Fields

Author(s): Stefano Modena, László Székelyhidi
Published in: Annals of PDE, Issue 4/2, 2018, ISSN 2199-2576
Publisher: Springer
DOI: 10.1007/s40818-018-0056-x

Non-renormalized solutions to the continuity equation

Author(s): Stefano Modena, László Székelyhidi
Published in: Calculus of Variations and Partial Differential Equations, Issue 58/6, 2019, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-019-1651-8

C 1,α isometric extensions

Author(s): Wentao Cao, László Székelyhidi
Published in: Communications in Partial Differential Equations, Issue 44/7, 2019, Page(s) 613-636, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2019.1581806

On Turbulence and Geometry: from Nash to Onsager

Author(s): Camillo De Lellis, László Székelyhidi
Published in: Notices of the American Mathematical Society, Issue 66/05, 2019, Page(s) 1, ISSN 0002-9920
Publisher: Mathematical Association of America
DOI: 10.1090/noti1868

Global Nash-Kuiper theorem for compact manifolds

Author(s): Wentao Cao, László Székelyhidi Jr.
Published in: Journal of Differential Geometry, Issue 0022040X, 2022, ISSN 0022-040X
Publisher: International Press
DOI: 10.4310/jdg/1668186787

Onsager's Conjecture for Admissible Weak Solutions

Author(s): Tristan Buckmaster, Camillo De Lellis, László Székelyhidi, Vlad Vicol
Published in: Communications on Pure and Applied Mathematics, Issue 72/2, 2018, Page(s) 229-274, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21781

Bounded solutions of ideal MHD with compact support in space-time

Author(s): Daniel Faraco, Sauli Lindberg and László Székelyhidi Jr.
Published in: Archive for Rational Mechanics and Analysis, Issue 00039527, 2021, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-020-01570-y

A new approach to the Rayleigh-Taylor instability

Author(s): Björn Gebhard, József J. Kolumbán, László Székelyhidi Jr
Published in: Archive for Rational Mechanics and Analysis, Issue 00039527, 2021, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-021-01672-1

Non-uniqueness for the Euler equations up to Onsager's critical exponent

Author(s): Sara Daneri, Eris Runa, Laszlo Szekelyhidi Jr
Published in: Annals of PDE, Issue 21992576, 2021, ISSN 2199-2576
Publisher: Springer
DOI: 10.1007/s40818-021-00097-z

Dissipative Euler flows for vortex sheet initial data without distinguished sign

Author(s): Francisco Mengual, László Székelyhidi Jr.
Published in: Communications in Pure and Applied Mathematics, Issue 10970312, 2022, ISSN 1097-0312
Publisher: Wiley Periodicals
DOI: 10.1002/cpa.22038

Non-peer reviewed articles (1)

Convex integration solutions to the transport equation with full dimensional concentration

Author(s): Stefano Modena, Gabriel Sattig
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.1016/j.anihpc.2020.03.002

Other (1)

Magnetic helicity, weak solutions and relaxation of ideal MHD

Author(s): Daniel Faraco, Sauli Lindberg, László Székelyhidi Jr
Published in: 2021
Publisher: arxiv.org
DOI: 10.48550/arxiv.2109.09106