Work

Backward Uniqueness for 3D Navier–Stokes Equations With Non-Trivial Final Data and Applications

Year: 2024

Type: article

Abstract: Presented is a backward uniqueness result of bounded mild solutions of 3D Navier–Stokes Equations in the whole space with non-trivial final data. A direct consequence is that a solution must be axi-symmetric in $[0, T]$ if it is so at time $T$. The proof is based on a new weighted estimate that enables to treat terms involving Calderon–Zygmund operators. The new weighted estimate is expected to have certain applications in control theory when classical Carleman-type inequality is not applicable.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae208

Authors: Zhen Lei, Zhaojie Yang, Cheng Yuan

Institution: Fudan University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Chinesisch-Deutsche Zentrum für Wissenschaftsförderung

OpenAlex ID: W4402854199

FWCI:

Cites: 23

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Related to: 10