Repository: Freie Universität Berlin, Math Department

Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body

Eiter, Thomas and Silvestre, Ana Leonor (2025) Representation formulas and far-field behavior of time-periodic incompressible viscous flow around a translating rigid body. Nonlinear Differential Equations and Applications, 32 (37).

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Official URL: https://doi.org/10.1007/s00030-025-01039-5

Abstract

This paper is concerned with integral representations and asymptotic expansions of solutions to the time-periodic incompressible Navier–Stokes equations for fluid flow in the exterior of a rigid body that moves with constant velocity. Using the time-periodic Oseen fundamental solution, we derive representation formulas for solutions with suitable regularity. From these formulas, the decomposition of the velocity component of the fundamental solution into steady-state and purely periodic parts and their detailed decay rate in space, we deduce complete information on the asymptotic structure of the velocity and pressure fields.

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:3257
Deposited By: Lukas-Maximilian Jaeger
Deposited On:14 Mar 2025 12:23
Last Modified:14 Mar 2025 12:23

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