Boundedness, almost periodicity and stability of certain Navier-Stokes flows in unbounded domains

DOI10.1016/j.jde.2017.08.061zbMath1378.35223OpenAlexW2755277593MaRDI QIDQ2411392

Vu Thi Ngoc Ha, Nguyen Thieu Huy, Thi Mai Vu, Trinh Viet Duoc

Publication date: 20 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jde.2017.08.061

zbMATH Keywords

Stokes operatoralmost periodicityNavier-Stokes-Oseen equationsOseen operatorbounded solutions and stabilityNavier-Stokes flows in Besov spaces

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (11)

Periodic and almost periodic evolution flows and their stability on non-compact Einstein manifolds and applications ⋮ Existence and stability of periodic and almost periodic solutions to the Boussinesq system in unbounded domains ⋮ Navier-Stokes-Oseen flows in the exterior of a rotating and translating obstacle ⋮ Parabolic evolution equations in interpolation spaces: boundedness, stability, and applications ⋮ Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold ⋮ On asymptotically almost periodic solutions to the Navier-Stokes equations in hyperbolic manifolds ⋮ Periodic and almost periodic motions of Navier-Stokes flows and their stability in a perturbed half-space ⋮ Existence, uniqueness, and asymptotic behavior of regular time-periodic viscous flow around a moving body ⋮ Existence, uniqueness and asymptotic behavior of regular time-periodic solutions to the Navier-Stokes equations around a moving body: rotational case ⋮ Navier-Stokes flow past a rigid body that moves by time-periodic motion ⋮ Interpolation spaces and weighted pseudo almost automorphic solutions to parabolic equations and applications to fluid dynamics

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