Viscous flow past a body translating by time-periodic motion with zero average

DOI10.1007/s00205-020-01530-6zbMath1442.35336arXiv1903.03840OpenAlexW3103077652MaRDI QIDQ2190726

Giovanni Paolo Galdi

Publication date: 22 June 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03840

zbMATH Keywords

asymptoticNavier-Stokes flowpast a body, regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

Time-Periodic Weak Solutions for an Incompressible Newtonian Fluid Interacting with an Elastic Plate ⋮ Quasi-periodic solutions for the incompressible Navier-Stokes equations with nonlocal diffusion ⋮ Existence, uniqueness, and asymptotic behavior of regular time-periodic viscous flow around a moving body ⋮ Spatial decay of the vorticity field of time-periodic viscous flow past a body ⋮ Attainability of time-periodic flow of a viscous liquid past an oscillating body ⋮ Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains ⋮ Spatial pointwise behavior of time-periodic Navier-Stokes flow induced by oscillation of a moving obstacle ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general approach to time periodic incompressible viscous fluid flow problems
• On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains
• Periodic motions of Stokes and Navier-Stokes flows around a rotating obstacle
• Existence of time-periodic solutions to the Navier-Stokes equations around a moving body
• The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force
• Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle
• On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line
• Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body
• Periodic solutions of the Navier-Stokes equations in unbounded domains
• On time-periodic flow of a viscous liquid past a moving cylinder
• The existence and regularity of time-periodic solutions to the three-dimensional Navier–Stokes equations in the whole space
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• A steady-state exterior Navier-Stokes problem that is not well-posed
• Existence and stability of time-periodic solutions to the Navier-Stokes equations in the whole space
• Time-periodic flow of a viscous liquid past a body
• Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity
• Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data

This page was built for publication: Viscous flow past a body translating by time-periodic motion with zero average