Mathematical aspects of turbulence: where do we stand?
| Created: | 2022-01-05 15:37 |
|---|---|
| Institution: | Isaac Newton Institute for Mathematical Sciences |
| Editors' group: | SMS Editors group for the Newton Institute |
| Description: | 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. |
Media items
This collection contains 152 media items.
Media items
A back door to blow-up: Inviscid regularization for the 3D Euler and Navier-Stokes equations
7 views
Adam Larios
22 February 2022 – 16:00 to 17:00
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 24 Feb 2022
A large-eddy pathway to turbulent drag reduction at high Reynolds numbers
56 views
Ivan Marusic (University of Melbourne)
29/03/2022
Programme: TURW04
SemId: 35335
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 6 Apr 2022
A network of invariant solutions underlying spatio-temporal patterns in inclined layer convection
49 views
Tobias Schneider (EPFL - Ecole Polytechnique Fédérale de Lausanne)
28/03/2022
Programme: TURW04
SemId: 35322
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 6 Apr 2022
A unified theory of exact coherent structures and roughness effects in shear flows
70 views
Philip Hall (Monash University)
24/03/2022
Programme: TUR
SemId: 35037
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 5 Apr 2022
A-priori quasilinear modeling and beyond
40 views
Greg Chini (University of New Hampshire)
01/04/2022
Programme: TURW04
SemId: 35362
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 6 Apr 2022
An elementary proof of existence and uniqueness for the Euler flow in uniformly localized Yudovich spaces
10 views
Gianluca Crippa (Universität Basel)
10 March 2022 – 11:15 to 12:15
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Mar 2022
Applications of Arnold's variational principle to the stability of vortices in ideal and viscous flows
13 views
Thierry Gallay (Université Grenoble Alpes)
16 February 2022 – 09:45 to 10:45
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 23 Feb 2022
Applications of convolutional neural networks to turbulence
49 views
Koji Fukagata (Keio University)
31/03/2022
Programme: TURW04
SemId: 35355
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 6 Apr 2022
Asymptotic-preserving dynamical low-rank approximations to the Vlasov-Fokker-Planck system
25 views
Jack Coughlin (University of Washington)
16 March 2022 – 11:00 to 12:00
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 16 Mar 2022
Axisymmetric Solutions to the Navier-Stokes Equations
9 views
Gregory Seregin (University of Oxford)
16 February 2022 – 11:15 to 12:15
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 22 Feb 2022
Beyond Coherent Structures
91 views
Javier Jimenez, Universidad Politécnica de Madrid
7 January 2022 – 13:00 to 14:00
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 10 Jan 2022
Bounding time averages
15 views
Sergei Chernyshenko (Imperial College London)
8 March 2022 – 09:45 to 10:45
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 14 Mar 2022
Bounds on heat transport for convection driven by internal heating
9 views
Giovanni Fantuzzi (Imperial College London)
11 March 2022 – 11:15 to 12:15
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 14 Mar 2022
Bounds on mixing norms for advection diffusion equations in the whole space via Fourier splitting and decay characters
19 views
Camilla Nobili (University of Surrey)
8 March 2022 – 13:30 to 14:30
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 14 Mar 2022
Congestion phenomena in fluid dynamics
8 views
Anne-Laure Dalibard (Sorbonne Université)
17 February 2022 – 11:15 to 12:15
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 22 Feb 2022
Convex integration in fluid dynamics
53 views
Laszlo Szekelyhidi, Universität Leipzig
5 January 2022 – 14:10 to 15:10
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 6 Jan 2022
DIffusion and Mixing
10 views
Gautam Iyer (Carnegie Mellon University)
9 March 2022 – 11:15 to 12:15
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 14 Mar 2022
Diffusion in arrays of obstacles: beyond homogenisation
10 views
Alexandra Tzella (University of Birmingham)
9 March 2022 – 13:30 to 14:30
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 14 Mar 2022
Dissipation enhancing flows and the applications to the Kuramoto Sivashinsky Equation
8 views
Yuanyuan Feng (Pennsylvania State University)
10 March 2022 – 16:00 to 17:00
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Mar 2022
Drag of turbulent flows over rough surfaces
4 views
Bettina Frohnapfel (Karlsruhe Institute of Technology (KIT))
31/03/2022
Programme: TURW04
SemId: 35351
Collection: Mathematical aspects of turbulence: where do we stand?
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 6 Apr 2022