Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces

DOI10.1016/j.jde.2010.08.016zbMath1205.35200OpenAlexW1990766416MaRDI QIDQ616487

Ednei Reis, Igor Kukavica

Publication date: 10 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.08.016

zbMATH Keywords

Fourier transformNavier-Stokes equationsasymptotic expansion

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (13)

Spatial asymptotic expansions in the incompressible Euler equation ⋮ Random attractors for stochastic retarded 2D-Navier-Stokes equations with additive noise ⋮ Navier-Stokes flow in the weighted Hardy space with applications to time decay problem ⋮ Perfect fluid flows on \(\mathbb{R}^d\) with growth/decay conditions at infinity ⋮ Far field geometric structures of 2D flows with localised vorticity ⋮ Space-time asymptotics of the two dimensional Navier-Stokes flow in the whole plane ⋮ On the asymptotic behavior of solutions of the 2d Euler equation ⋮ NAVIER AND STOKES MEET POINCARÉAND DULAC ⋮ Asymptotic expansion for solutions of the Navier-Stokes equations with non-potential body forces ⋮ Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces ⋮ Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain ⋮ Asymptotic expansion of solutions to the nonlinear dissipative equation with the anomalous diffusion ⋮ Hexagonal structures in 2D Navier–Stokes flows

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