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What Can Jellyfish Teach Us About Fluid Dynamics?
Jellyfish and other aquatic creatures embody solutions to diverse problems in engineering, medicine and mathematics. John Dabiri, a fluid dynamics expert, talks with Steven Strogatz about what jellyfish can teach us about going with the flow.
Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations
For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.
Mathematicians Coax Fluid Equations Into Nonphysical Solutions
The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations.
Deep Learning Poised to ‘Blow Up’ Famed Fluid Equations
For centuries, mathematicians have tried to prove that Euler’s fluid equations can produce nonsensical answers. A new approach to machine learning has researchers betting that “blowup” is near.
An Injection of Chaos Solves Decades-Old Fluid Mystery
In the 1960s, drillers noticed that certain fluids would firm up if they flowed too fast. Researchers have finally explained why.
Mathematicians Identify Threshold at Which Shapes Give Way
A new proof establishes the boundary at which a shape becomes so corrugated, it can be crushed.