Work

Asymptotic stability of three-dimensional incompressible inhomogeneous Navier-Stokes equations driven by gravity

Year: 2025

Type: article

Abstract: We study the asymptotic stability of hydrostatic equilibrium to incompressible inhomogeneous Navier-Stokes equations driven by gravity under non-slip boundary conditions in a strip domain R 2 × ( 0 , 1 ) . If hydrostatic density increases strictly along the direction of gravity, the global existence of solutions to perturbated equations is shown as well as explicit decay rates of solutions. This reflects the well-known Rayleigh-Taylor stability phenomenon.

Source: Journal of Differential Equations

DOI: 10.1016/j.jde.2025.113858

Authors: Lihua Dong, Jianguo Li, Yongzhong Sun

Institutions: Nanjing Tech University, PLA Army Engineering University, Nanjing University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: National Natural Science Foundation of China, Natural Science Foundation of Jiangsu Province, Major Basic Research Project of the Natural Science Foundation of the Jiangsu Higher Education Institutions, National Key Research and Development Program of China