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

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

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, 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, 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, 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, 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, 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, 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, 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