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This is a Quantitative Study study.

Sharp non‐uniqueness for the 2D hyper‐dissipative Navier–Stokes equations

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Analysis demonstrates sharp non-uniqueness of weak solutions in hyper-dissipative contexts, suggesting deeper insights into fluid dynamics.

This research shows that weak solutions of the hyper-dissipative Navier-Stokes equations are non-unique.
Key findings indicate sharp non-uniqueness at critical points based on viscosity exponent assessments.
The methodology involved extending prior work on non-uniqueness in two-dimensional Navier-Stokes equations to the hyper-dissipative case.
These results highlight the limitations of existing conditions, indicating possible new avenues for fluid dynamics investigations.

Du et al. (2025) studied this question.

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Analysis demonstrates sharp non-uniqueness of weak solutions in hyper-dissipative contexts, suggesting deeper insights into fluid dynamics.