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The Abel Prize 2023: Luis A. Caffarelli
This year's Abel Prize goes to Luis A. Caffarelli for a body of work on the maths of change.
Content about “ partial differential equation
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Mathematical snapshots: Tamara Grossmann
PhD student Tamara Grossmann tells us about her work on image analysis.
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Maths in a minute: Differential equations
Change is the only constant in our lives — which is why differential equations are so useful.
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Restoring profanity
In 1979 decorating work in a house in Vienna revealed a set of medieval frescoes depicting a cycle of songs by a 13th century poet, who was particularly fond of satirising the erotic relationships between knights and peasant maidens. The frescoes are of great historical significance, but they are badly damaged. In this article Carola Schönlieb explores how mathematicians use the heat
equation to fill in the gaps.
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Universal pictures
Peter Markowich is a mathematician who likes to take pictures. At first his two interests seemed completely separate to him, but then he realised that behind every picture there is a mathematical story to tell. Plus went to see him to find out more, and ended up with a pictorial introduction to partial differential equations.
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How the leopard got its spots
How does the uniform ball of cells that make up an embryo differentiate to create the dramatic patterns of a zebra or leopard? How come there are spotty animals with stripy tails, but no stripy animals with spotty tails? Lewis Dartnell solves these, and other, puzzles of animal patterning.
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Going with the flow
Fluid mechanics is the study of flows in both liquids and gases, and is therefore enormously important in understanding many natural phenomena, as well as in industrial applications. Geophysicist Herbert Huppert tells us what happens when two fluids of different densities meet, for example when volcanos erupt and hot ash-laden air is poured out into the atmosphere.