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March 2010
Tags

fluid mechanics

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During World Mathematical Year 2000 a sequence of posters were displayed month by month in the trains of the London Underground aiming to stimulate, fascinate - even infuriate passengers! Keith Moffatt tells us about three of the posters from the series.

Tags: Fibonacci number : chaos : differential equation : golden ratio : fluid mechanics : advection-diffusion equation : meteorology : Lorenz equations : butterfly effect : strange attractor : dynamical system


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One million dollars is waiting to be won by anyone who can solve one of the grand mathematical challenges of the 21st century. In the second of two articles, Chris Budd looks at the well-posedness of the Navier-Stokes equations.

Tags: aerodynamics : navier-stokes equations : Fermat's Last Theorem : mathematical modelling : fluid mechanics : Clay Institute Millennium Prize Problems : circle-squaring : angle trisection : doubling cube : hilbert problems


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Describing the motion of fluids is a huge and unsolved mathematical problem. There are equations that seem to describe it well, but their complete solution is way beyond reach. But could there be a simpler method? The physicist Jerry Gollub tells Plus about a new discovery which combines experiment with sophisticated maths.

Tags: turbulence : navier-stokes equations : chaos : fluid mechanics : fluid dynamics


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A new mathematical model might explain the strange magnetic fields of Uranus and Neptune.

Tags: magnetic field : fluid mechanics : dynamo effect : Neptune : uranus : Venus


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Umbrella or no umbrella? New advances in weather forecasting will help us dodge hurricanes and protect against floods.

Tags: navier-stokes equations : mathematical modelling : fluid mechanics : meteorology : forecasting


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Goal keepers defend against the maths of the new World Cup ball

Tags: navier-stokes equations : fluid mechanics : mathematics in sport : football


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Can maths help save lives by making more accurate predictions of future volcanic eruptions?

Tags: mathematical modelling : fluid mechanics : prediction : volcanic eruption