Global smoothness for relativistic Vlasov–Maxwell
What the paper claims, in its own words
Proves large-data global existence and uniqueness for the three-dimensional, one-species relativistic Vlasov–Maxwell system. Smooth admissible initial data may be arbitrary provided the particle density is compactly supported and the electromagnetic fields have finite energy and bounded derivatives of every order; the solution remains smooth on every finite time interval.
The plain-language explainer for this entry is still coming.
The original paper
- Global classical solutions of the three-dimensional relativistic Vlasov–Maxwell system (PDF, opens in a new tab) September 23, 2026 Formal proof listed