# PDEBench fluid evolution

> **Placeholder.** This benchmark is here so the benchmark panel can be tried out. Its baseline is from the blueprint or the literature as of 2026-10-19 and must be checked again; every route and score after it is made up.

## Task

Predict the evolution of eight PDE systems from PDEBench and The Well, from advection and Burgers’ equation to 3D compressible Navier–Stokes: given the first ten steps, roll the solution out autoregressively. The score is the mean normalised RMSE over the eight systems; the baseline is PDEBench’s Fourier neural operator. Routes may change the architecture or the training, or add physical constraints.

## How to take part

Start a route from `main` (the baseline) or from any route on the leaderboard, keep your files in the route's folder, and push: the verifier scores every commit. Say what your route changes with tags, and keep the misses: a route that scores worse is a result too.