Peer Review Strategy · CMI Compliance
A curated analysis of the best peer-reviewed journals for submitting the proposed Navier–Stokes solution, based on the CMI's official rules for Qualifying Outlets and the journals' scope, prestige, and history with fluid dynamics research.
CMI Official Rules
Per the CMI Millennium Prize Rules, a Proposed Solution must be published in a "Qualifying Outlet." The ultimate decision on whether a publication qualifies rests in the sole and unfettered discretion of CMI. However, the rules specify that a publication lacking any of the following characteristics will be deemed not to be a Qualifying Outlet:
An editorial board whose members are named and available for contact
An editor or editorial board member whose professional knowledge of the global mathematics community would enable them to identify an appropriate referee
A published refereeing process that ensures submitted papers are reviewed and verified by appropriate experts in the field of the Problem
Inclusion in the list of publications maintained by MathSciNet
Important Note
CMI will not make recommendations to authors regarding which journal to submit a paper to, or how to submit a paper. CMI does not maintain a list of publications that meet its requirements and will not certify that any particular publication meets its requirements. The recommendations below are based on independent analysis of journal scope, prestige, and compliance with the stated criteria.
Recommended Journals
Submission Process
Ensure the paper is complete, rigorously proofread, and formatted according to the target journal's author guidelines. Include all necessary definitions, lemmas, and proofs.
Upload the manuscript to arXiv.org (math.AP sub-archive) to establish priority and enable immediate community feedback. This does not preclude journal submission.
Submit to Communications on Pure and Applied Mathematics (CPAM) via their online submission system. Include a cover letter explaining the significance of the result.
The peer review process for top mathematics journals can take 6–18 months. During this time, continue engaging with the community via arXiv and conferences.
Engage carefully and thoroughly with referee reports. Address all concerns rigorously. This process strengthens the paper and builds community confidence.
Upon acceptance and publication, the mandatory two-year waiting period for CMI consideration begins. The roadmap's Phase 2 and Phase 3 activities are now critical.