Asymptotic study of Leray Solution of 3D-NSE With Exponential Damping

2022/06/07 by Mongi Blel, Blel, Mongi, Jamel Benameur +1
Engineering · Mathematics · #35-XX #35Q30 #76D05 #76N10 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #G.0 #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2206.03138

openalex publication_date 2022/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the uniqueness, the continuity in L² and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a (e^b |u|^{\bf 2}-1)u, (a,b>0) studied by the second author in \citeJ1.

Related

• Long Time Decay of Leray Solution of 3D-NSE With Damping
• Global weak solution of 3D-NSE with exponential damping
• Strong solution of 3D-NSE with exponential damping
• Asymptotic behavior of solutions to 3D incompressible Navier-Stokes equations with damping
• Generalization of 3D-NSE Global Weak Solution with damping