Mathematical aspects of turbulence: where do we stand?

Programme theme

It is with great sadness that we report the death of our colleague and friend Charles Doering on 15 May 2021. As a mark of respect, and in recognition of his substantial contribution, we have chosen to keep his name listed as one of the Organisers.

Anna Laura, Beverley, Leslie, Dan, Edriss, John, Rahul, Rich & Steven.

Despite the heavy deployment of effort and resources in the study of turbulent fluid flows for well over a century, fundamental questions remain stubbornly unanswered. The associated issues range so widely across the mathematical, physical and engineering sciences that no single research programme can hope to cover all aspects of the subject. This particular programme will concentrate upon the more mathematical concerns, addressing a significant range of topics including:

Analysis of the incompressible Navier-Stokes and Euler equations;
Modelling and analysis of turbulent transport, mixing and scaling processes;
Inhomogeneous and anisotropic wall-bounded flows and transition to turbulence;
Geophysical turbulence including atmospheric, oceanographic and planetary flows.

Recent years have witnessed many analytical and computational advances in our understanding of the structural and dynamical properties of solutions of the incompressible Navier-Stokes and Euler equations and associated models, but many mathematical issues require further investigation. And despite the pressing demand for practical answers, there is nevertheless a need for longer-term thinking about how the most recent developments in mathematical analysis can be leveraged into a wider understanding of physical processes. For example, the regularity and singularity results in the primitive equations of geophysical fluid dynamics can impact climate science models. The introduction of convex integration machinery that has been instrumental in completing the proof of the Onsager conjecture and establishing non-unique weak solutions for the Euler and the Navier-Stokes equations can bring insights into the dissipative anomaly conjecture, a.k.a. Kolmogorov's zero-th law of turbulence. Singularity results for the Euler equations and advances on the Prandtl equations and boundary layer theory relevant to wall-bounded turbulence can have significant engineering applications.

Through a range of events this programme will bring researchers from a broad range of disciplines together to consider these issues. It will provide the space for the type of collaborative interdisciplinary thinking necessary for the formulation of new ideas and research directions.

> Click here to download a shareable PDF poster detailing this programme's workshop titles and their dates.

Click here to download the programme's final scientific report

TUR programme: interview with organisers John Gibbon, Jean-Luc Thiffeault and Rahul Pandit

Preprints

Title	Year	Programme
Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations Authors: Daniel Boutros, Simon Markfelder, Edriss Titi Download PDF	2021	TUR
Rigorous justification of the hydrostatic approximation limit of viscous compressible ows Authors: Xin Liu, Edriss Titi Download PDF	2021	TUR
Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction Authors: Claude Bardos, Xin Liu, Edriss Titi Download PDF	2021	TUR
Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains Authors: Daniel Boutros, Claude Bardos, Edriss Titi Download PDF	2021	TUR
SUPER-EXPONENTIAL CONVERGENCE RATE OF A NONLINEAR CONTINUOUS DATA ASSIMILATION ALGORITHM: THE 2D NAVIER-STOKES EQUATIONS PARADIGM Authors: Elizabeth Carlson, Adam Larios, Edriss Titi Download PDF	2021	TUR
Phase transitions in the fractional three-dimensional Navier-Stokes equations Authors: Daniel Boutros, John Gibbon Download PDF	2021	TUR
On Energy Conservation for the Hydrostatic Euler Equations: An Onsager Conjecture Authors: Edriss Titi, Daniel Boutros, Simon Markfelder Download PDF	2021	TUR
Onsager's Conjecture for Subgrid Scale α-Models of Turbulence Authors: Edriss S. Titi, Daniel Boutros Download PDF	2021	TUR
Global well-posedness for the thermodynamically refinded passively transported non linear moisture dynamics with phase changes Authors: Rupert Klein, Edriss Titi, Sabine Hittmeir, Jinkai Li Download PDF	2021	TUR
Global well-posedness of a three-dimensional Brinkman-Forchheimer-B´enard convection model in porous media Authors: Saber Trabelsi, Edriss Titi Download PDF	2021	TUR
On the effect of fast rotation and vertical viscosity on the lifespan of the $3D$ primitive equations Authors: Quyuan Lin, Edriss S. Titi, Xin Liu Download PDF	2021	TUR

Workshops

TURW01

Seminars

Wednesday 26th January 2022
16:00 to 17:00	Bartosz Protas McMaster University informal tutorial talk on numerical solution of PDE-constrained optimization problems	Room 1

Thursday 27th January 2022
16:00 to 17:00	Bartosz Protas McMaster University informal tutorial talk on numerical solution of PDE-constrained optimization problems	Room 1

Tuesday 1st February 2022
16:00 to 17:00	Simon Markfelder University of Cambridge Convex Integration in Fluid Dynamics (Tutorial) - 1	Room 1

Thursday 3rd February 2022
16:00 to 17:00	Simon Markfelder University of Cambridge Convex Integration in Fluid Dynamics (Tutorial) -2	Room 1

Monday 7th February 2022
16:00 to 17:00	Simon Markfelder University of Cambridge Convex Integration in Fluid Dynamics (Tutorial) - 3	Room 1

Tuesday 8th February 2022
16:00 to 17:00	Sergei Chernyshenko Imperial College London Auxiliary Functions for Bounded Time Averages	Room 2

Thursday 10th February 2022
16:00 to 17:00	Giovanni Fantuzzi Imperial College London Introduction to Polynomial Optimization	Room 2

Monday 21st February 2022
16:00 to 17:00	Dwight Barkley University of Warwick The role of pressure in an incompressible Euler singularity	Room 2

Tuesday 22nd February 2022
12:00 to 13:00	Jacob Bedrossian University of Maryland, College Park Chaos and turbulence in stochastic fluid mechanics: What is it and how could we study it?	Room 2
16:00 to 17:00	Adam Larios None / Other A back door to blow-up: Inviscid regularization for the 3D Euler and Navier-Stokes equations	Room 2

Thursday 24th February 2022
16:00 to 17:00	Chuong Tran University of St Andrews Velocity-pressure correlation in Navier--Stokes flows and the problem of global regularity	Room 2

Tuesday 1st March 2022
11:15 to 12:15	Elizabeth Carlson University of Victoria Using Data to Accurately and Efficiently Model Turbulent Flows: Data Assimilation & Parameter Recovery	Room 2
16:00 to 17:00	Xin Liu Weierstraß-Institut für Angewandte Analysis und Stochastik Compressible flows and zero Mach number limit	Room 2

Wednesday 2nd March 2022
11:00 to 12:00	Avi Mayorcas University of Cambridge Blow-up criteria for an SPDE model of chemotaxis Speaker: Avi Mayorcas	Room 2

Thursday 3rd March 2022
14:00 to 15:00	Paolo Luchini Università degli Studi di Salerno Logarithmic profile of the mean turbulent velocity and recent developments about its universality.	Room 2

Wednesday 16th March 2022
11:00 to 12:00	Jack Coughlin University of Washington Asymptotic-preserving dynamical low-rank approximations to the Vlasov-Fokker-Planck system	Room 2
13:00 to 14:00	Elizabeth Carlson University of Victoria Using Data to Accurately and Efficiently Model Turbulent Flows: Data Assimilation & Parameter Recovery	Room 2

Monday 21st March 2022
16:00 to 17:00	Slim IBRAHIM University of Victoria Revisit singularity formation for the inviscid primitive equations	Room 2

Tuesday 22nd March 2022
11:00 to 12:00	Milton da Costa Lopes Filho Universidade Federal do Rio de Janeiro (UFRJ) Energy balance for weak solutions of the 2D Incompressible Euler equations.	Room 2

Wednesday 23rd March 2022
16:00 to 17:00	Martin Oberlack Technische Universität Darmstadt High order moment scaling laws in wall-bounded turbulent shear flows and beyond	Room 2

Thursday 24th March 2022
11:00 to 12:00	Philip Hall Monash University A unified theory of exact coherent structures and roughness effects in shear flows	Room 2

Friday 25th March 2022
16:00 to 17:00	Tim Colonius CALTECH (California Institute of Technology) title and abstract tba	Room 2

Monday 4th April 2022
16:00 to 17:00	Dwight Barkley University of Warwick Rare events and the transition to turbulence	Room 2

Tuesday 5th April 2022
14:00 to 15:00	Paolo Luchini Università degli Studi di Salerno On the opposite reaction of wall-bounded laminar and turbulent flow to slow perturbations	Room 2

Wednesday 6th April 2022
16:00 to 17:00	Laurette Tuckerman PMMH-ESPCI; CNRS (Centre national de la recherche scientifique) RZIF? SCM?	Room 2

Thursday 7th April 2022
16:00 to 17:00	Yongyun Hwang Imperial College London Near-wall turbulence intensity scales as inverse of ln Re_tau, if bounded	Room 2

Wednesday 13th April 2022
11:00 to 12:00	Xiaochuan Yang Brunel University On some multifractal models	Room 2
13:00 to 14:00	Pavan Pranjivan Mehta Brown University Addressing anamolous diffusion of turbulent flows using fractional derivatives	Room 2

Thursday 14th April 2022
16:00 to 17:00	Gregory Eyink Johns Hopkins University Navier-Stokes is Wrong at Sub-Kolmogorov Scales and Why It Matters	Room 2

Wednesday 20th April 2022
16:00 to 17:00	Darryl Holm Imperial College London Stochastic Rayleigh-B´enard Convective Adjustment	Room 2

Thursday 21st April 2022
11:00 to 12:00	Takeshi Matsumoto Kyoto University Insights from numerical simulations of the dissipative Euler flow	Room 2
16:00 to 17:00	Konstantin Khanin University of Toronto Chair: Rahul Pandit Transport problem for the random forced Burgers equation and the KPZ (Kardar-Parisi-Zhang) phenomenon	Room 2

Monday 25th April 2022
16:00 to 17:00	Helena Judith Nussenzveig Lopes Universidade Federal do Rio de Janeiro (UFRJ) Conservation of energy, weak transport and vanishing viscosity in 2D -- Lecture 1	Room 2

Wednesday 27th April 2022
16:00 to 17:00	Helena Judith Nussenzveig Lopes Universidade Federal do Rio de Janeiro (UFRJ) Conservation of energy, weak transport and vanishing viscosity in 2D -- Lecture 2	Room 2

Thursday 28th April 2022
16:00 to 17:00	Helena Judith Nussenzveig Lopes Universidade Federal do Rio de Janeiro (UFRJ) Conservation of energy, weak transport and vanishing viscosity in 2D -- Lecture 3	Room 2

Tuesday 3rd May 2022
16:00 to 17:00	Yanqiu Guo Analysis of a rotationally constrained convection model	Room 2

Wednesday 4th May 2022
11:00 to 12:00	William Golding University of Texas at Austin Uniqueness of shock waves under small perturbations for the Isentropic Euler Equations	Room 2
13:00 to 14:00	Antoine Remond-Tiedrez University of Cambridge (In)stability of an anisotropic micropolar fluid	Room 2

Thursday 5th May 2022
16:00 to 17:00	Rama Govindarajan International Centre for Theoretical Sciences, TIFR, Bangalore Mammatus clouds and sedimentation instabilities - Kirk Distinguished Visiting Fellow Lecture	Room 1

Wednesday 11th May 2022
11:00 to 12:00	Xin Liu Weierstraß-Institut für Angewandte Analysis und Stochastik The expanding configuration of radiational gaseous stars	Room 2
13:00 to 14:00	Noemi David Sorbonne Université; Università di Bologna On the incompressible limit for tumour growth models including convective effects	Room 2
16:00 to 17:00	Miles Couchman University of Cambridge Scalar mixing patterns in forced simulations of stratified turbulence: the importance of extreme events - Miles Couchman	Room 1

Friday 13th May 2022
13:30 to 14:30	Samriddhi Sankar Ray International Centre for Theoretical Sciences, TIFR, Bangalore; Tata Institute of Fundamental Research Gravitational Settling in Turbulent Flows: Water Droplets, Ice Crystals and Filaments	Room 2

Friday 27th May 2022
14:00 to 15:00	Dario Vincenzi CNRS (Centre national de la recherche scientifique) How to extract a spectrum from hydrodynamic equations	Room 2

Monday 30th May 2022
14:00 to 15:00	Yukio Kaneda Nagoya University Small-scale statistics at very high but finite Reynolds numbers	Room 2

Tuesday 31st May 2022
11:00 to 13:00	Robert Kerr University of Warwick Finite energy and negative helicity dissipation from reconnection in large domains.	Room 1
16:00 to 17:00	Alain Pumir ENS - Lyon; Max Planck Institute for Dynamics and Self Organisation Structure and scaling of extremely large velocity gradients in hydrodynamic turbulence.	Room 1

Wednesday 1st June 2022
11:00 to 12:00	Daniel Han University of Manchester; University of Cambridge Self-reinforcement, superdiffusion and subdiffusion	Room 2
13:00 to 14:00	Vanja Wagner University of Zagreb Nonlocal quadratic forms with visibility constraint (joint work with Moritz Kassmann)	Room 2
16:00 to 17:00	Rupert Klein Freie Universität Berlin How mathematics helps structuring climate discussions - Rothschild Distinguished Visiting Fellow Lecture	Room 1

Monday 6th June 2022
16:00 to 17:00	Michael Graham University of Wisconsin-Madison Toward data-driven reduced-order modeling and control of flows with complex chaotic dynamics	Room 2

Tuesday 7th June 2022
16:00 to 17:00	Aseel Farhat Florida State University Intermittency in turbulence and the 3D Navier-Stokes regularity problem - virtual talk	Room 2

Wednesday 8th June 2022
11:00 to 12:00	Jo Evans University of Warwick Steady states for the BGK equation in an interval	Room 2
13:00 to 14:00	Akhilesh Kumar Verma University of Warwick Lagrangian properties of the model plane-Couette flow	Room 2

Friday 10th June 2022
14:00 to 15:00	Tarek Elgindi Duke University Singularity formation in the Euler equation	No Room Required

Monday 13th June 2022
16:00 to 17:00	Koji Ohkitani Research Institute for Mathematical Sciences , Kyoto University Elementary excitations for the 3D Navier-Stokes equations	Room 2

Wednesday 15th June 2022
11:00 to 12:00	Daniel Boutros University of Cambridge On Energy Conservation for the hydrostatic Euler equations: an Onsager Conjecture	Room 2
13:00 to 14:00	Arran Fernandez Eastern Mediterranean University Adapting the Fokas transform method to solve certain fractional PDEs	Room 2

Thursday 16th June 2022
14:00 to 15:30	Anupam Gupta Indian Institute of Technology Bacterial Turbulence: A comparison with its fluid-turbulence counterpart	Room 2

Friday 17th June 2022
14:00 to 15:00	Milton da Costa Lopes Filho Universidade Federal do Rio de Janeiro (UFRJ) Lower bound on the radius of analyticity for solutions of Navier-Stokes	Room 2

Wednesday 22nd June 2022
11:00 to 12:00	Santiago Benavides University of Warwick; Massachusetts Institute of Technology Phase Transitions in Geophysical Turbulence	Room 2
13:00 to 14:00	Oscar de Wit University of Cambridge Active Brownian Particles and chemotaxis	Room 2

Many turbulent fluid flows are described by the Navier-Stokes equations.

Organisers

Charles R. Doering University of Michigan
John Gibbon Imperial College London
Dan Henningson KTH - Royal Institute of Technology
Rich Kerswell University of Cambridge
Anna Laura Mazzucato Pennsylvania State University
Beverley McKeon CALTECH (California Institute of Technology)
Rahul Pandit Indian Institute of Science
Leslie Smith University of Wisconsin-Madison
Jean-Luc Thiffeault University of Wisconsin-Madison
Edriss Titi University of Cambridge; Texas A&M University
Steven Tobias University of Leeds

Show All

Speakers

Jacob Bedrossian University of Maryland, College Park
Santiago Benavides University of Warwick; Massachusetts Institute of Technology
Daniel Boutros University of Cambridge
Sergei Chernyshenko Imperial College London
Jack Coughlin University of Washington
Jo Evans University of Warwick
Gregory Eyink Johns Hopkins University
William Golding University of Texas at Austin
Dwight Barkley University of Warwick
Elizabeth Carlson University of Victoria
Tim Colonius CALTECH (California Institute of Technology)
Noemi David Sorbonne Université; Università di Bologna
Milton da Costa Lopes Filho Universidade Federal do Rio de Janeiro (UFRJ)
Oscar de Wit University of Cambridge
Tarek Elgindi Duke University
Giovanni Fantuzzi Imperial College London
Arran Fernandez Eastern Mediterranean University
Rama Govindarajan International Centre for Theoretical Sciences, TIFR, Bangalore
Michael Graham University of Wisconsin-Madison
Anupam Gupta Indian Institute of Technology
Philip Hall Monash University
Daniel Han University of Manchester
Darryl Holm Imperial College London
Yongyun Hwang Imperial College London
Slim IBRAHIM University of Victoria
Yukio Kaneda Nagoya University
Robert Kerr University of Warwick
Rupert Klein Freie Universität Berlin
Adam Larios None / Other
Xin Liu Weierstraß-Institut für Angewandte Analysis und Stochastik
Paolo Luchini Università degli Studi di Salerno
Konstantin Khanin University of Toronto
Takeshi Matsumoto Kyoto University
Avi Mayorcas University of Cambridge
Helena Judith Nussenzveig Lopes Universidade Federal do Rio de Janeiro (UFRJ)
Martin Oberlack Technische Universität Darmstadt
Koji Ohkitani Research Institute for Mathematical Sciences , Kyoto University
Pavan Pranjivan Mehta Brown University
Bartosz Protas McMaster University
Alain Pumir ENS - Lyon; Max Planck Institute for Dynamics and Self Organisation
Antoine Remond-Tiedrez University of Cambridge
Samriddhi Sankar Ray Tata Institute of Fundamental Research
Chuong Tran University of St Andrews
Laurette Tuckerman PMMH-ESPCI; CNRS (Centre national de la recherche scientifique)
Akhilesh Kumar Verma University of Warwick
Dario Vincenzi CNRS (Centre national de la recherche scientifique)
Vanja Wagner University of Zagreb
Xiaochuan Yang Brunel University

Show All

Participants

Marc Avila University of Bremen
Jane Bae CALTECH (California Institute of Technology)
Claude Bardos Université Paris 7 - Denis-Diderot
Tobias Barker University of Warwick
Dwight Barkley University of Warwick
Jeremie Bec CNRS (Centre national de la recherche scientifique); INRIA Sophia Antipolis
Luca Biferale Università degli Studi di Roma Tor Vergata
Hugh Blackburn Monash University
Freddy Bouchet ENS - Lyon; CNRS (Centre national de la recherche scientifique)
Daniel Boutros University of Cambridge
Zdzislaw Brzezniak University of York
Tristan Buckmaster Princeton University
Angela Busse University of Glasgow
Elizabeth Carlson University of Victoria
Colm-cille Caulfield University of Cambridge
Andre Cavalieri Instituto Tecnológico de Aeronáutica
Paola Cessi University of California, San Diego
Sergei Chernyshenko Imperial College London
Alexey Cheskidov University of Illinois at Chicago
Greg Chini University of New Hampshire
Daniel Chung University of Melbourne
Maria Colombo EPFL - Ecole Polytechnique Fédérale de Lausanne
Tim Colonius CALTECH (California Institute of Technology)
Peter Constantin Princeton University
Michele Coti Zelati Imperial College London
Stephen Cowley University of Cambridge
Gianluca Crippa Universität Basel
Mike Cullen Met Office (retired)
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
Sara Daneri Gran Sasso Science Institute, L'Aquila
Emmanuel Dormy CNRS - Ecole Normale Superieure Paris
David Dritschel University of St Andrews
Theo Drivas Stony Brook University
Berengere Dubrulle CEA/Saclay; Université Paris Saclay
Yohann Duguet CNRS (Centre national de la recherche scientifique); Université Paris Saclay
Tarek Elgindi Duke University
Gregory Eyink Johns Hopkins University
Giovanni Fantuzzi Imperial College London
Yuanyuan Feng Pennsylvania State University
Baylor Fox-Kemper Brown University
Koji Fukagata Keio University
Paolo Galdi University of Pittsburgh
Isabelle Gallagher Université Paris 7 - Denis-Diderot; ENS - Paris
Dennice Gayme Johns Hopkins University
Fabiola Antonietta Gerosa Observatoire de la Côte d' Azur
John Gibbon Imperial College London
David Goluskin University of Victoria
Rama Govindarajan International Centre for Theoretical Sciences, TIFR, Bangalore
Michael Graham University of Wisconsin-Madison
Emmanuel Grenier ENS - Lyon
Anupam Gupta Indian Institute of Technology
Philip Hall Monash University
Dan Henningson KTH - Royal Institute of Technology
Matthias Hieber Technische Universität Darmstadt
Sabine Hittmeir Technische Universität Wien
Darryl Holm Imperial College London
Susanne Horn Coventry University
Ibrahim Hoteit King Abdullah University of Science and Technology (KAUST)
Yongyun Hwang Imperial College London
Takashi Ishihara Okayama University
Gautam Iyer Carnegie Mellon University
Javier Jimenez Universidad Politécnica de Madrid
Yukio Kaneda Nagoya University
Genta Kawahara Osaka University
Robert Kerr University of Warwick
Rich Kerswell University of Cambridge
Konstantin Khanin University of Toronto
Boualem Khouider University of Victoria
Alexander Kiselev Duke University
Rupert Klein Freie Universität Berlin
Peter Korn Max-Planck-Institut für Meteorology
Igor Kukavica University of Southern California
Adam Larios University of Nebraska
Marie-Pascale Lelong NorthWest Research Associates, USA; University of Washington
Jinkai Li South China Normal University
Xin Liu Texas A&M University
Adrian Lozano-Duran Massachusetts Institute of Technology
Paolo Luchini Università degli Studi di Salerno
Anagha Madhusudanan University of Cambridge
Brad Marston Brown University
Ivan Marusic University of Melbourne
Takeshi Matsumoto Kyoto University
Anna Laura Mazzucato Pennsylvania State University
Beverley McKeon CALTECH (California Institute of Technology)
Charles Meneveau Johns Hopkins University
Monica Musso University of Bath
Camilla Nobili University of Surrey
Helena Judith Nussenzveig Lopes Universidade Federal do Rio de Janeiro (UFRJ)
Koji Ohkitani Research Institute for Mathematical Sciences , Kyoto University
Nairita Pal Los Alamos National Laboratory
Tim Palmer University of Oxford
Rahul Pandit Indian Institute of Science
Daniel Peralta-Salas ICMAT
Pavan Pranjivan Mehta Brown University
Bartosz Protas McMaster University
Alain Pumir ENS - Lyon; Max Planck Institute for Dynamics and Self Organisation
Antoine Remond-Tiedrez University of Cambridge
James Robinson University of Warwick
José Rodrigo University of Warwick
Samriddhi Sankar Ray International Centre for Theoretical Sciences, TIFR, Bangalore; Tata Institute of Fundamental Research
Philipp Schlatter KTH - Royal Institute of Technology
Peter Schmid King Abdullah University of Science and Technology (KAUST)
Tobias Schneider EPFL - Ecole Polytechnique Fédérale de Lausanne
Joerg Schumacher Technische Universität Ilmenau
Christian Seis Westfalische Wilhelms-Universitat Munster
Gregory Seregin University of Oxford
Zhen-Su She Peking University
Roman Shvydkoy University of Illinois at Chicago
Leslie Smith University of Wisconsin-Madison
Katepalli Sreenivasan Courant Institute of Mathematical Sciences; New York University
Samuel Stechmann University of Wisconsin-Madison
Kunihiko Taira University of California, Los Angeles
Jean-Luc Thiffeault University of Wisconsin-Madison
Edriss Titi University of Cambridge; Texas A&M University
Steven Tobias University of Leeds
Chuong Tran University of St Andrews
Laurette Tuckerman PMMH-ESPCI; CNRS (Centre national de la recherche scientifique)
Alexandra Tzella University of Birmingham
Nicolas Valade INRIA Sophia Antipolis
Jacques Vanneste University of Edinburgh
Dario Vincenzi CNRS (Centre national de la recherche scientifique)
Fabian Waleffe University of Wisconsin-Madison
Emil Wiedemann Universität Ulm
Beth Wingate University of Exeter
Yao Yao National University of Singapore
Tamer Zaki Johns Hopkins University

Show All

Mathematical aspects of turbulence: where do we stand?

Programme theme

TUR programme: interview with organisers John Gibbon, Jean-Luc Thiffeault and Rahul Pandit

Preprints

Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations

Rigorous justification of the hydrostatic approximation limit of viscous compressible ows

Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction

Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains

SUPER-EXPONENTIAL CONVERGENCE RATE OF A NONLINEAR CONTINUOUS DATA ASSIMILATION ALGORITHM: THE 2D NAVIER-STOKES EQUATIONS PARADIGM

Phase transitions in the fractional three-dimensional Navier-Stokes equations

On Energy Conservation for the Hydrostatic Euler Equations: An Onsager Conjecture

Onsager's Conjecture for Subgrid Scale α-Models of Turbulence

Global well-posedness for the thermodynamically refinded passively transported non linear moisture dynamics with phase changes

Global well-posedness of a three-dimensional Brinkman-Forchheimer-B´enard convection model in porous media

On the effect of fast rotation and vertical viscosity on the lifespan of the $3D$ primitive equations

Workshops

Turbulence: where do we stand and where are we heading?

Rigorous analysis of incompressible fluid models and turbulence

Modelling and analysis of turbulent transport, mixing and scaling

Wall-bounded turbulence: beyond current boundaries

Advances in geophysical and astrophysical turbulence

Seminars

Organisers

Speakers

Participants

Supported By

Mathematical aspects of turbulence: where do we stand?

Programme theme

TUR programme: interview with organisers John Gibbon, Jean-Luc Thiffeault and Rahul Pandit

Preprints

Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations

Rigorous justification of the hydrostatic approximation limit of viscous compressible ows

Derivation of a generalized quasi-geostrophic approximation for inviscid flows in a channel domain: The fast waves correction

Hölder regularity of the pressure for weak solutions of the 3D Euler equations in bounded domains

SUPER-EXPONENTIAL CONVERGENCE RATE OF A NONLINEAR CONTINUOUS DATA ASSIMILATION ALGORITHM: THE 2D NAVIER-STOKES EQUATIONS PARADIGM

Phase transitions in the fractional three-dimensional Navier-Stokes equations

On Energy Conservation for the Hydrostatic Euler Equations: An Onsager Conjecture

Onsager's Conjecture for Subgrid Scale α-Models of Turbulence

Global well-posedness for the thermodynamically refinded passively transported non linear moisture dynamics with phase changes

Global well-posedness of a three-dimensional Brinkman-Forchheimer-B´enard convection model in porous media

On the effect of fast rotation and vertical viscosity on the lifespan of the $3D$ primitive equations

Workshops

Turbulence: where do we stand and where are we heading?

Rigorous analysis of incompressible fluid models and turbulence

Modelling and analysis of turbulent transport, mixing and scaling

Wall-bounded turbulence: beyond current boundaries

Advances in geophysical and astrophysical turbulence

Seminars

Organisers

Speakers

Participants

Supported By

Register for updates