## Problem 006 — rank:52

**Title:** Nonequilibrium condensates

**Added binding assumptions (LaTeX):**

```latex
Specify the fuel evolution equation or imposed fuel field and both phase-field boundary conditions, $n\cdot\nabla\phi=n\cdot M\nabla\mu=0$. Define a droplet by a fixed superlevel set and its equivalent-volume radius. Because reactions can change total condensate material, stability is tested against all admissible coupled field perturbations, not only mass-conserving ones. Translation symmetry calls for orbital stability modulo translations, not attraction to a unique centre.
```

**Direct edits:** 1. **Fresh external checks:** None; supplied sources retained as provenance.