Equilibria of the Vlasov-Maxwell-Landau System

Under smoothness, positivity, decay and score assumptions, are all steady solutions of the Coulomb Vlasov-Maxwell-Landau system on $\mathbb{T}^3 \times \mathbb{R}^3$ necessarily spatially uniform Maxwellians?

Result

Proved

Status

Resolved

AI contribution

AI-discovered

Method

Argument

Field

Kinetic PDE

Posed by

—

Year posed

2026

Years open

0y

Solved

2026-03-16

Model

Gemini Deep Think, Claude Code, Aristotle

Vendor

Google DeepMind / Anthropic / Harmonic

Collaborators

—

Verification

Lean-verified

Publication

Preprint

Significance

5 / 100*

Disclosed cost

—

Wikipedia

No dedicated article