Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries

DOI10.1512/iumj.2006.55.2726zbMath1122.35095OpenAlexW2024021009MaRDI QIDQ3413384

Cheng He, Tetsuro Miyakawa

Publication date: 4 January 2007

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2006.55.2726

zbMATH Keywords

decay ratesexterior domainnonstationary Navier-Stokes systemrotational symmetries

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items

Pointwise decay estimate of Navier-Stokes flows in the half space with slowly decreasing initial value, Decay properties for the incompressible Navier-Stokes flows in a half space, Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space, Large time behavior for the nonstationary Navier-Stokes flows in the half-space, Algebraic \(L^2\) decay for weak solutions of a viscous Boussinesq system in exterior domains, Decay results of solutions to the incompressible Navier-Stokes flows in a half space, Long-time behavior for Navier-Stokes flows in a two-dimensional exterior domain, Large time behavior for the incompressible Navier-Stokes flows in 2D exterior domains, Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space, Long-time behavior for the nonstationary Navier-Stokes flows in \(L^1(\mathbb R_+^n)\), On the large time \(L^\infty \)-estimates of the Stokes semigroup in two-dimensional exterior domains, Notes on the space-time decay rate of the Stokes flows in the half space, Decay estimates of linearized micropolar fluid flows in \(\mathbb{R}^{3}\) space with applications to \(L_{3}\)-strong solutions, Decay rates for the incompressible Navier-Stokes flows in 3D exterior domains, Decay results of higher-order norms for the Navier-Stokes flows in 3D exterior domains, Liouville theorems for the Stokes equations with applications to large time estimates, Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces, On upper and lower bounds of higher order derivatives for solutions to the 2D micropolar fluid equations, On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain, Large time behavior for the incompressible magnetohydrodynamic equations in half-spaces