Work

Stability of the 3D Navier–Stokes equations with anisotropic dissipation

Year: 2025

Type: article

Abstract: This paper establishes the global existence and stability of the Navier–Stokes equations with dissipation acting in the vertical direction and on the vertical average in one of the horizontal directions. This Navier–Stokes model arises in various physical contexts such as strongly stratified fluids and anisotropic turbulence models.

Source: Nonlinearity

DOI: 10.1088/1361-6544/adffda

Authors: Chongsheng Cao, Jiahong Wu

Institutions: Florida International University, University of Notre Dame

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funder: National Science Foundation