Rigorous analysis of incompressible fluid models and turbulence

Workshop theme

The rigorous analysis of the Euler and Navier-Stokes equations (and other models of fluid dynamics) can contribute to our understanding of turbulence. Results on regularity often exclude physical singularities of particular types, and so can influence coarser-scale modelling. Progress on questions that appear at first purely mathematical, such as the Onsager Conjecture (minimal smoothness for conservation of energy in the Euler equations), can provide insights towards foundations of the classical theory of turbulence, namely the dissipation anomaly (finite energy dissipation in the limit of zero viscosity). Analysis of boundary layers is central to many asymptotic approaches to fluid flows, and key mathematical questions remain here too, closely related to convergence of Navier-Stokes to Euler flows.

Applications for this workshop are now closed

Fees

Registration Only

Registration Package: £208
Student Registration Package: £158

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Formal Dinner Only

Formal Dinner: £55

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.

Please see the Hotels Combined website for a list of local hotels and guesthouses.

Meals

Lunch Lunch timings and location will be confirmed with timetable.

Evening Meal Participants are free to make their own arrangements for dinner.

Formal Dinner The Formal Dinner location and date is to be confirmed.

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Rigorous analysis of incompressible fluid models and turbulence, where work on this paper was undertaken. This work was supported by EPSRC grant EP/R014604/1.

Timetable

Monday 14th February 2022
10:00 to 11:00	Registration	No Room Required
11:00 to 11:05	Christie Marr Isaac Newton Institute Welcome	Room 1
11:05 to 11:15	Anna Laura Mazzucato Pennsylvania State University Organiser Welcome	Room 1
11:15 to 12:15	Roman Shvydkoy University of Illinois at Chicago Chair: Anna Mazzucato, Moderator: Antoine Remond-Tiedrez Mechanisms for energy conservation in Onsager supercritical fluids	Room 1
12:15 to 13:30	Lunch Break	No Room Required
13:30 to 14:30	Sara Daneri Gran Sasso Science Institute, L'Aquila Chair: Michele Coti-Zelati, Moderator: Michele Dolce On the sticky particle solutions to the pressureless Euler system in general dimension	Room 1
14:30 to 15:30	Peter Constantin Princeton University Chair: Michele Coti-Zelati, Moderator: Michele Dolce Pressure and singularities	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Igor Kukavica University of Southern California Chair: Michele Coti-Zelati, Moderator: Michele Dolce On the inviscid limit for the Navier-Stokes equations	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 15th February 2022
09:45 to 10:45	Ping Zhang Chinese Academy of Sciences Chair: Tobias Barker, Moderator: David Goluskin Global hydrostatic approximation of hyperbolic Navier-Stokes system with small Gevrey class 2 data	Room 1
10:45 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Maria Colombo EPFL - Ecole Polytechnique Fédérale de Lausanne Chair: Tobias Barker, Moderator: David Goluskin Non-uniqueness of Leray solutions of the forced Navier-Stokes equations	Room 1
12:15 to 13:30	Lunch Break	No Room Required
13:30 to 14:30	Alexander Kiselev Duke University Chair: Jose Rodrigo, Moderator: Juan Carlos Bilbao Small scale creation in active scalars	Room 1
14:30 to 15:30	Diego Córdoba ICMAT Chair: Jose Rodrigo, Moderator: Juan Carlos Bilbao Non existence and strong ill-posedness in $C^k$ and Sobolev spaces for SQG	Room 1
15:30 to 16:00	Discussion Session	Room 1
16:00 to 16:30	Afternoon Tea	No Room Required

Wednesday 16th February 2022
09:45 to 10:45	Thierry Gallay Université Grenoble Alpes Chair: Helena Nussenzveig Lopes, Moderator: Giovanni Fantuzzi Applications of Arnold's variational principle to the stability of vortices in ideal and viscous flows	Room 1
10:45 to 11:15	Morning Coffee and Group Photo	No Room Required
11:15 to 12:15	Gregory Seregin University of Oxford Chair: Helena Nussenzveig Lopes, Moderator: Giovanni Fantuzzi Axisymmetric Solutions to the Navier-Stokes Equations	Room 1
12:15 to 13:30	Lunch Break	No Room Required
13:30 to 14:30	Monica Musso University of Bath Chair: Chuong Tran, Moderator: Yongyun Hwang Vortex filaments for Euler equations	Room 1
14:30 to 15:30	Alexey Cheskidov University of Illinois at Chicago Chair: Chuong Tran, Moderator: Yongyun Hwang The effect of intermittency on regularity properties of the solutions to the Navier-Stokes equations	Room 1
15:30 to 16:00	Discussion Session	Room 1
16:00 to 16:30	Afternoon Tea	No Room Required
19:30 to 22:00	Formal Dinner at Robinson College, Crausaz Wordsworth Building	No Room Required

Thursday 17th February 2022
09:45 to 10:45	In-Jee Jeong Seoul National University Chair: James Robinson, Moderator: Ali Arsian Head-on collision of vortex rings	Room 1
10:45 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Anne-Laure Dalibard Sorbonne Université Chair: James Robinson, Moderator: Ali Arsian Congestion phenomena in fluid dynamics	Room 1
12:15 to 13:30	Lunch Break	No Room Required
13:30 to 14:30	Toan Nguyen Pennsylvania State University Chair: Adam Larios, Moderator: Anagha Madhusudanan The stability of shear flows at the boundary	Room 1
14:30 to 15:30	Mimi Dai University of Illinois at Chicago; Institute for Advanced Study, Princeton Chair: Adam Larios, Moderator: Anagha Madhusudanan Kolmogorov's dissipation wavenumber and determining wavenumber	Room 1
15:30 to 16:00	Discussion Session	Room 1
16:00 to 16:30	Afternoon Tea	No Room Required

Friday 18th February 2022
09:45 to 10:45	Franco Flandoli Scuola Normale Superiore di Pisa Chair: Koji Ohkitani, Moderator: Daniel Boutros Small-scale turbulence idealized by noise: some of its consequences	Room 1
10:45 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Daniel Peralta-Salas ICMAT Chair: Koji Ohkitani, Moderator: Daniel Boutros MHD equilibria in toroidal geometries	Room 1
12:15 to 13:30	Lunch Break	No Room Required
13:30 to 14:30	Emil Wiedemann Universität Ulm Chair: Edriss Titi, Moderator: Xin Liu Statistical Solutions of the 2D Euler Equations	Room 1
14:30 to 15:30	Claude Bardos Université Paris 7 - Denis-Diderot Chair: Edriss Titi, Moderator: Xin Liu Zero viscosity limit for solutions of the Navier Stokes Equations in a 2d domain with curved boundary and no slip boundary condition	Room 1
15:30 to 15:40	Edriss Titi University of Cambridge; Texas A&M University Close	Room 1

Mathematical aspects of turbulence: where do we stand?

Rigorous analysis of incompressible fluid models and turbulence

Organisers

Anna Laura Mazzucato Pennsylvania State University
James Robinson University of Warwick
José Rodrigo University of Warwick
Edriss Titi University of Cambridge; Texas A&M University

Speakers

Claude Bardos Université Paris 7 - Denis-Diderot
Alexey Cheskidov University of Illinois at Chicago
Maria Colombo EPFL - Ecole Polytechnique Fédérale de Lausanne
Peter Constantin Princeton University
Diego Córdoba ICMAT
Mimi Dai University of Illinois at Chicago; Institute for Advanced Study, Princeton
Anne-Laure Dalibard Sorbonne Université
Sara Daneri Gran Sasso Science Institute, L'Aquila
Franco Flandoli Scuola Normale Superiore di Pisa
Thierry Gallay Université Grenoble Alpes
In-Jee Jeong Seoul National University
Alexander Kiselev Duke University
Igor Kukavica University of Southern California
Monica Musso University of Bath
Toan Nguyen Pennsylvania State University
Daniel Peralta-Salas ICMAT
Gregory Seregin University of Oxford
Roman Shvydkoy University of Illinois at Chicago
Edriss Titi University of Cambridge; Texas A&M University
Emil Wiedemann Universität Ulm
Ping Zhang Chinese Academy of Sciences

Show All

Participants

Salih Abdalla None / Other
Hussein Aluie University of Rochester
Kwame Appiah UK Energy Research Centre
Ali Arslan Imperial College London
Claude Bardos Université Paris 7 - Denis-Diderot
Tobias Barker University of Warwick
Dwight Barkley University of Warwick
Dongfen Bian Beijing Institute of Technology
Juan Carlos Bilbao Imperial College London
Daniel Boutros University of Cambridge
Zdzislaw Brzezniak University of York
Colm-cille Caulfield University of Cambridge
Yu Cheng Harvard University
Sergei Chernyshenko Imperial College London
Alexey Cheskidov University of Illinois at Chicago
Greg Chini University of New Hampshire
Kalale Chola Okinawa Institute of Science and Technology
Maria Colombo EPFL - Ecole Polytechnique Fédérale de Lausanne
Peter Constantin Princeton University
Michele Coti Zelati Imperial College London
Stephen Cowley University of Cambridge
Gianluca Crippa Universität Basel
Mike Cullen None / Other
Diego Córdoba ICMAT
Milton da Costa Lopes Filho Universidade Federal do Rio de Janeiro (UFRJ)
Mimi Dai University of Illinois at Chicago; Institute for Advanced Study, Princeton
Anne-Laure Dalibard Sorbonne Université
Vassilios Dallas University of Oxford
Sara Daneri Gran Sasso Science Institute, L'Aquila
Augusto Del Zotto Imperial College London
Michele Dolce Imperial College London
Emmanuel Dormy CNRS - Ecole Normale Superieure Paris
Berengere Dubrulle CEA/Saclay; Université Paris Saclay
Gregory Eyink Johns Hopkins University
Giovanni Fantuzzi Imperial College London
Yuanyuan Feng Pennsylvania State University
Franco Flandoli Scuola Normale Superiore di Pisa
Baylor Fox-Kemper Brown University
Paolo Galdi University of Pittsburgh
Isabelle Gallagher Université Paris 7 - Denis-Diderot; ENS - Paris
Thierry Gallay Université Grenoble Alpes
John Gibbon Imperial College London
David Goluskin University of Victoria
Emmanuel Grenier ENS - Lyon
Philip Hall Monash University
Matthias Hieber Technische Universität Darmstadt
Sabine Hittmeir Technische Universität Wien
Darryl Holm Imperial College London
Susanne Horn Coventry University
Yongyun Hwang Imperial College London
Slim IBRAHIM University of Victoria
In-Jee Jeong Seoul National University
Divya Joseph Kayyunnapara None / Other
Sakkaravarthi Karuppaiya Asia Pacific Center for Theoretical Physics
Robert Kerr University of Warwick
Rich Kerswell University of Cambridge
Konstantin Khanin University of Toronto
Peter Korn Max-Planck-Institut für Meteorology
Igor Kukavica University of Southern California
Anuj Kumar University of California, Santa Cruz
Adam Larios None / Other
Myoungkyu Lee University of Alabama at Tuscaloosa
Jinkai Li South China Normal University
Xin Liu Weierstraß-Institut für Angewandte Analysis und Stochastik
Paolo Luchini Università degli Studi di Salerno
Anagha Madhusudanan University of Cambridge
Luis Martínez zoroa ICMAT
Takeshi Matsumoto Kyoto University
Anna Laura Mazzucato Pennsylvania State University
SUGAN DURAI MURUGAN Tata Institute of Fundamental Research
Monica Musso University of Bath
Toan Nguyen Pennsylvania State University
Marc Nualart Batalla Imperial College London
Helena Judith Nussenzveig Lopes Universidade Federal do Rio de Janeiro (UFRJ)
Koji Ohkitani Research Institute for Mathematical Sciences , Kyoto University
Rahul Pandit Indian Institute of Science
Umberto Pappalettera Scuola Normale Superiore di Pisa
Daniel Peralta-Salas ICMAT
Bartosz Protas McMaster University
Hao Quan Johns Hopkins University
Antoine Remond-Tiedrez University of Cambridge
James Robinson University of Warwick
José Rodrigo University of Warwick
Samriddhi Sankar Ray Tata Institute of Fundamental Research
Tobias Schneider EPFL - Ecole Polytechnique Fédérale de Lausanne
Gregory Seregin University of Oxford
Azamat Shavlukov Russian Academy of Sciences
Roman Shvydkoy University of Illinois at Chicago
Jean-Luc Thiffeault University of Wisconsin-Madison
Edriss Titi University of Cambridge; Texas A&M University
Chuong Tran University of St Andrews
Laurette Tuckerman PMMH-ESPCI; CNRS (Centre national de la recherche scientifique)
Baole Wen University of Michigan
Emil Wiedemann Universität Ulm
Andrew Wynn Imperial College London
Jin-Han Xie Peking University
Jincheng Yang University of Texas at Austin
Ping Zhang Chinese Academy of Sciences