## partial differential equation

This year's Abel prize shows you can wrap anything, no matter how weirdly shaped.

**Carola Schönlieb**explores how mathematicians use the heat equation to fill in the gaps.

**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.

*Plus*went to see him to find out more about his career.

*Plus*about the challenges and rewards of working in an incentive-driven environment.

**André Léger**studies the fluid mechanics of food travelling through the intestines for consumer goods giant Unilever.

**Lewis Dartnell**solves these, and other, puzzles of animal patterning.

**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.