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The Rayleigh-Taylor instability (RTI), involving the mixing of a heavy fluid over-laying a lighter, occurs in many situations including laboratory tank and fusion experiments, astro-physical phenomena and multi-phase physics. The approach taken by different schools varies widely. We will briefly review these and then spend the next part discussing the Variable Density Model (VDM) for miscible flows pioneered by Cook and Dimotakis (2001) and Livescu and Ristorcelli (2007). The resulting PDEs, while elegantly coupled to the Navier-Stokes equations, pose severe technical challenges. Finally, in joint work with Nairita Pal, Anupam Gupta and Rahul Pandit, I will also discuss the occurrence of the RTI at immiscible interfaces in multi-phase physics which involves the coupling of the Cahn-Hillard equations to the Navier-Stokes equations

ADIW04 - Anti-Diffusion in Multiphase and Active Flows

Speaker: John Gibbon (Imperial College London)
Wednesday 12 June 2024, 11:40-12:30
Venue: Seminar Room 1, Newton Institute.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Wed 07 Aug 09:00: TBA SSDW02 - Stochastic reflection

School of Physical Sciences - Wed, 10/04/2024 - 11:30

TBA

SSDW02 - Stochastic reflection

Speaker: Pierre Yves Gaudreau lamarre (Syracuse University)
Wednesday 07 August 2024, 09:00-10:00
Venue: External.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Tue 06 Aug 14:30: TBA SSDW02 - Stochastic reflection

School of Physical Sciences - Wed, 10/04/2024 - 11:30

TBA

SSDW02 - Stochastic reflection

Speaker: Sara Mazzonetto (Université de Lorraine)
Tuesday 06 August 2024, 14:30-15:30
Venue: External.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Tue 06 Aug 10:00: TBA SSDW02 - Stochastic reflection

School of Physical Sciences - Wed, 10/04/2024 - 11:30

TBA

SSDW02 - Stochastic reflection

Speaker: Nian Si (University of Chicago)
Tuesday 06 August 2024, 10:00-11:00
Venue: External.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Tue 06 Aug 09:00: TBA SSDW02 - Stochastic reflection

School of Physical Sciences - Wed, 10/04/2024 - 11:30

TBA

SSDW02 - Stochastic reflection

Speaker: Sandro Franceschi (Institut polytechnique de Paris)
Tuesday 06 August 2024, 09:00-10:00
Venue: External.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Mon 05 Aug 11:30: TBA SSDW02 - Stochastic reflection

School of Physical Sciences - Wed, 10/04/2024 - 11:30

TBA

SSDW02 - Stochastic reflection

Speaker: Maria Vlasiou (Universiteit Twente)
Monday 05 August 2024, 11:30-12:30
Venue: External.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Mon 05 Aug 10:00: TBA SSDW02 - Stochastic reflection

School of Physical Sciences - Wed, 10/04/2024 - 11:30

TBA

SSDW02 - Stochastic reflection

Speaker: Rami Atar (Technion - Israel Institute of Technology)
Monday 05 August 2024, 10:00-11:00
Venue: External.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Mon 05 Aug 09:45: Director and organiser welcome at Churchill College SSDW02 - Stochastic reflection

School of Physical Sciences - Wed, 10/04/2024 - 11:30

Director and organiser welcome at Churchill College

SSDW02 - Stochastic reflection

Speaker:
Monday 05 August 2024, 09:45-10:00
Venue: External.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Wed 15 May 10:15: TBA EMGW04 - K-stability and moment maps

School of Physical Sciences - Wed, 10/04/2024 - 11:30

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EMGW04 - K-stability and moment maps

Speaker: Ved Datar (Indian Institute of Science)
Wednesday 15 May 2024, 10:15-11:15
Venue: Seminar Room 1, Newton Institute.
Series: Isaac Newton Institute Seminar Series; organiser: nobody.

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Fri 19 Apr 14:00: Quantitative Uniform Stability of the Iterative Proportional Fitting Procedure

School of Physical Sciences - Wed, 10/04/2024 - 10:41

Quantitative Uniform Stability of the Iterative Proportional Fitting Procedure

We establish the uniform in time stability, w.r.t. the marginals, of the Iterative Proportional Fitting Procedure, also known as Sinkhorn algorithm, used to solve entropy-regularised Optimal Transport problems. Our result is quantitative and stated in terms of the 1- Wasserstein metric. As a corollary we establish a quantitative stability result for Schrödinger bridges.

This is joint work with V. de Bortoli and A. Doucet.