Asymptotic behavior of solutions on modifications of three-dimensional Navier-Stokes equations with unbounded delays

DOI10.1216/rmj.2022.52.1775zbMath1504.35238OpenAlexW4385640462MaRDI QIDQ2106272

Yanyan Li

Publication date: 14 December 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-5/Asymptotic-behavior-of-solutions-on-modifications-of-three-dimensional-NavierStokes/10.1216/rmj.2022.52.1775.full

zbMATH Keywords

weak solutionlocal stabilitystationary solutiondelayspolynomial decayasymptotically stableasymptotic a priori estimate methodmodified Navier-Stokes equationpolynomial stable

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Fixed-point theorems (47H10) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions
• Pullback attractors for a two-dimensional Navier-Stokes model in an infinite delay case
• Pullback attractors for globally modified Navier-Stokes equations with infinite delays
• Attractors for 2D-Navier-Stokes models with delays
• Functional differential equations with infinite delay
• Stability results for 2D Navier-Stokes equations with unbounded delay
• Three dimensional system of globally modified Navier-Stokes equations with infinite delays
• Existence of global attractor for the three-dimensional modified Navier-Stokes equations
• Attractors for the modifications of the three-dimensional Navier-Stokes equations
• Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation

This page was built for publication: Asymptotic behavior of solutions on modifications of three-dimensional Navier-Stokes equations with unbounded delays