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Solution of the Millennium Problem for the Navier-Stokes Equations

Year: 2025

Type: article

Abstract: One of the millennium problems can be stated as follows: can there be smooth, not vanishing identically initial data for the Navier-Stokes equations in R such that the corresponding solution to the NSP (Navier-Stokes problem) exists for all times t ≥ 0? We prove that such a solution does not exist.

Source: Annals of Communications in Mathematics

DOI: 10.62072/acm.2025.080307

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4414600263

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