Analysis & PDEs1994
Control a wave through its frequencies
Breaking an evolving wave into frequencies reveals estimates that can control nonlinear interactions over time.
The storyAn award edition
Different contributions. A shared moment in mathematics.
4 medalists — explore each contribution below.
Breaking an evolving wave into frequencies reveals estimates that can control nonlinear interactions over time.
The storyViscosity solutions test a nonlinear equation without requiring the unknown function to be differentiable everywhere.
The storyChanging coordinates can reveal a regular rotation beneath a circle map, but arithmetic controls when this works smoothly.
The storyFixing generators and exponent leaves only finitely many finite groups, despite the apparent freedom to build larger examples.
The story