Mathematics

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JFM Q&A with Yongyun Hwang

Professor Yongyun Hwang, Imperial College London has recently been appointed as an editorial board member of the Journal of Fluid Mechanics. To celebrate, Yongyun participated in a Q&A with the Journal.

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JFM Rapids: The Editors’ Insights

A spotlight on JFM Rapids, a well-established section in the Journal of Fluid Mechanics [JFM] that continues to provide a highly visible venue for short, high-quality, articles addressing timely research challenges of broad interest. In this collection, the Editors of JFM Rapids each explain why they selected one article that presents exciting results with exceptional impact on currently active fluid mechanics research.

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When the Levee Forms

Blues fans out there may be familiar with the Led Zeppelin classic ‘When the Levee Breaks’, but what about when the levee forms? In particular, how do natural levees form in such an organised and well-engineered process?

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The latest research in training modern machine learning models: ‘A deterministic modification of gradient descent that avoids saddle points

Machine learning models, particularly those based on deep neural networks, have revolutionized the fields of data analysis, image recognition, and natural language processing. A key factor in the training of these models is the use of variants of gradient descent algorithms, which optimize model parameters by minimizing a loss function. However, the training optimization problem for neural networks is highly non-convex, presenting unique challenges.

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The PageRank algorithm analysed by EJAM

The PageRank algorithm was developed by Google co-founder Larry Page, and first introduced in 1998. It is based on the idea that a website’s importance can be measured by the number of other websites that link to it. Here, EJAM researchers study the PageRank algorithm.

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John Ockendon Prize 2022 winner announced

The John Ockendon Prize launched in 2016 and is named after the founding editor of the European Journal of Applied Mathematics. This award recognises researchers for their contribution to applied mathematical research. In this article, Journal Editor Martin Burger discusses the 2022 winning paper.

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Watch: Impaled Droplets

The Lutetium Project film a water droplet impacting on a superhydrophobic cone-shaped surface and the results are breathtaking. Research by Pierre Chantelot at the University of Twente.

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Watch: Amazing Fluid Dynamics Experiments

Tom Mullin at the University of Oxford introduces some of his favourite fluid dynamics experiments… covering a wide range of fluid mechanics phenomena including turbulence, wave formation, Rayleigh-Taylor instability, viscous effects, magnetism, electricity, segregation, disorder and chaos.…

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Mahony Neumann Room Prize 2021

About the Mahony Neumann Room Prize This prize, for outstanding contributions to the Australian Mathematical Society’s research publications, is fittingly named after the founding editors of these journals.…

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Fluids Writing Competition – now open!

Are you passionate about fluid mechanics and its applications? Are you looking to develop your writing skills and engage with an audience that's just as enthusiastic on the subject as you are? We have the competition for you.

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Mahony Neumann Room Prize 2020

About the Mahony Neumann Room Prize This prize, for outstanding contributions to the Australian Mathematical Society’s research publications, is fittingly named after the founding editors of those journals.…

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Watch: Underwater Robots based on the Loch Ness Monster

Current underwater vehicles are either difficult to manoeuvre making them unsuitable for sensitive work, or are extremely expensive. Gabe Weymouth and his team at the University of Southampton are designing new underwater robots based on the Plesiosaur – the dinosaur behind the legend of the Loch Ness Monster – which are much smaller, cheaper and more energy efficient.…

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Watch: How Do Snakes Catch Their Prey Underwater?

When catching prey underwater snakes use two main techniques: the frontal strike and the lateral strike. By studying real snakes in the lab at ESPCI/MNHN, Marion Segall was able to recreate the setup using a 3D-printed snake head and laser visualisation techniques, which allowed for the forces involved in each strike to be measured.…

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Batchelor Prize 2020

Congratulations to Alexander J. Smits on being awarded the 2020 Batchelor Prize ‘for seminal contributions to our understanding of the structure of wall turbulence at very large Reynolds and Mach numbers, especially through the design of innovative experiments and measurement devices, and also for pioneering work on bio-inspired propulsion and on drag reduction using modified surfaces’.…

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International Women’s Day 2020: Influential women in STEM

International Women’s Day 2020 falls on Sunday, 8th March this year. In the run up to this date, each week day we’ll be highlighting one woman whose accomplishments in science, technology, engineering and/or mathematics not only elevated their fields but also took us one step closer to a gender-equal world.…

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Arguing about sets

Sets are ubiquitous and familiar: children get acquainted with sets of objects surrounding them very early on; secondary school students typically encounter sets of natural numbers and sets of real numbers in their maths curriculum. …

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Q&A with Steven Gilmour, Editorial Board Member of Experimental Results, Mathematics, Statistics & Probability Section

This is the latest of an ongoing series of interviews with people involved with our new Open Access journal, Experimental Results – a forum for short research papers from experimental disciplines across Science, Technology and Medicine, providing authors with an outlet for rapid publication of small chunks of research findings with maximum visibility.…

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Watch: Tracking Beetles using the Sound of their Wings

The Coconut Rhinoceros Beetle is an invasive species that if left alone would decimate citrus crops across California. To prevent this from happening, John Allen and his team at the University of Hawai’i have been working to hunt the insects down before they are able to reach the West Coast of the USA.…

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Watch: How to Reduce Drag when Cycling

Cyclists can use up to 90% of their energy overcoming drag, which was the motivation behind the work of Ivaylo Nedyalkov at the University of New Hampshire, who was able to measure the force on each individual cyclist in a train formation to determine the best position to reduce your overall drag.…

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Compressed sensing, image reconstruction and limited measurements

Beyond its theoretical contribution, this work also has signi cant practical impact. It provides new and important insight into how to adapt and optimize the performance of compressed sensing in practical applications. It introduces a new generation of sampling strategies based on multilevel random sampling which are both theoretically optimal and outperform previous state-of-the-art approaches in practice. It has led to new approaches in MRI, NMR, uorescence microscopy and helium atom scattering which offer signi cant performance gains.

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Watch: Levitating Objects on an Air Table

Air-tables create a thin film of air capable of supporting objects and causing them to levitate. By adding grooves to the table or the object, Professor John Hinch at the University of Cambridge was able to control the objects motion and describe the resultant acceleration in terms of a simple scaling relationship involving gravity and the aspect ratio.…

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Watch: How do Bubbles Freeze?

Freezing bubbles are not only beautiful, but also demonstrate incredibly complex physics. Here, Professor Jonathan Boreyko explains how bubbles freeze with examples of slow motion videos filmed in his laboratory at Virginia Tech.…

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Watch: How Strong is an Avalanche?

Measuring the forces present in an avalanche using light. Amalia Thomas from the University of Cambridge explains how to measure the forces between colliding particles in an avalanche based on their photo-elastic response and refractive index.

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Watch: Brazil Nut Effect in Avalanches and Cereal

The brazil nut effect describes the movement of large particles to the top of a container after shaking. The same effect also occurs in avalanches where large blocks of ice and rocks are seen on the surface, and in a box of cereal where the large pieces migrate to the top and the smaller dusty particles remain at the bottom.

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Watch: How does stone skipping work?

By bouncing elastic spheres across the surface of Bear Lake in Utah, researchers have discovered the physics behind stone skipping. The mechanism of ‘water walking’ occurs when a deformed sphere rotates continuously across the surface of the water giving the appearance that the sphere is literally walking on water.…

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