Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces

DOI10.1017/prm.2018.154zbMath1439.35366arXiv1803.05502OpenAlexW2963704512WikidataQ128585723 ScholiaQ128585723MaRDI QIDQ5221035

Dat T. Cao, Luan Thach Hoang

Publication date: 27 March 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05502

zbMATH Keywords

asymptotic expansionNavier-Stokespower-decaying

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Asymptotic expansions of solutions to PDEs (35C20) Weak solutions to PDEs (35D30) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items (7)

Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations ⋮ Asymptotic expansions in time for rotating incompressible viscous fluids ⋮ Asymptotic expansions in a general system of decaying functions for solutions of the Navier-Stokes equations ⋮ Long-time behaviour of solutions of superlinear systems of differential equations ⋮ NAVIER AND STOKES MEET POINCARÉAND DULAC ⋮ Infinite series asymptotic expansions for decaying solutions of dissipative differential equations with non-smooth nonlinearity ⋮ Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations

Cites Work

• Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces
• Asymptotic integration of Navier-Stokes equations with potential forces. II: An explicit Poincaré-Dulac normal form
• The normal form of the Navier-Stokes equations in suitable normed spaces
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations
• On the helicity in 3D-periodic Navier-Stokes equations. II: The statistical case
• Linearization and normal form of the Navier-Stokes equations with potential forces
• Infinite-dimensional dynamical systems in mechanics and physics.
• Asymptotic expansion for solutions of the Navier-Stokes equations with non-potential body forces
• On the helicity in 3D-periodic Navier-Stokes equations I: the non-statistical case
• A fois-saut type of expansion for dissipative wave equations
• Asymptotic expansion in Gevrey spaces for solutions of Navier–Stokes equations
• NAVIER AND STOKES MEET POINCARÉAND DULAC
• On the solutions to the normal form of the Navier-Stokes equations
• Lower Bounds for Solutions of the Navier-Stokes Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces