Large time behaviour of solutions to the 3D Navier-Stokes equations with damping

DOI10.1007/s00033-020-01404-7zbMath1464.35264OpenAlexW3090659791MaRDI QIDQ2022997

Tianyi Yang, Zhaoyun Zhang

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01404-7

zbMATH Keywords

damping termdecay ratelarge time behaviour3D Navier-Stokes equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (1)

Approximate controllability for mild solution of time-fractional Navier-Stokes equations with delay

Cites Work

• Asymptotic behavior of strong solutions to the 3D Navier-Stokes equations with a nonlinear damping term
• The asymptotic behavior of solutions to three-dimensional Navier-Stokes equations with nonlinear damping
• Regularity and uniqueness for the 3D incompressible Navier-Stokes equations with damping
• Weak and strong solutions for the incompressible Navier-Stokes equations with damping
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• The large time behavior of solutions to 3D Navier-Stokes equations with nonlinear damping
• Asymptotic behaviour of the solutions to the 2D dissipative quasi-geostrophic flows
• Large time behaviour of solutions to the navier-stokes equations
• Global well-posedness to the incompressible Navier–Stokes equations with damping
• A remark on the decay of solutions to the 3‐D Navier–Stokes equations

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