Uniqueness, stability, and continuation through the singular endpoint

Establish uniqueness or stability for a singular endpoint evolution of the coupled wave–induction system, or prove continuation of the coupled wave–induction system through the singular time $t=1$.

Background

The coupled wave–induction trajectory is constructed only for times before the singular time, while an endpoint operator is defined from the weak limiting connection. The paper does not determine whether the singular endpoint evolution is unique or stable, nor whether the coupled wave–induction system can be continued through t=1t=1. These issues are distinct from constructing the limiting operator and require additional information about the singular dynamics.

References

No uniqueness or stability result for a singular endpoint evolution, or continuation of the coupled system through $t=1$, is established either. These questions require information beyond the limiting coefficient and the constant-state domain criterion.

— Finite-time divergence of kinetic-energy fluctuations in a Schrödinger-induction flow  (2609.10085 - Liu, 9 Sep 2026) in Section 5, paragraph beginning “The endpoint operator has been constructed directly...”