PROC
A linearized system describing stationary incompressible viscous flow around rotating and translating bodies: Improved decay estimates of the velocity and its gradient
Paul Deuring Stanislav Kračmar Šárka Nečasová
Conference Publications 2011, 2011(Special): 351-361 doi: 10.3934/proc.2011.2011.351
We consider a linearization of a model for stationary incompressible viscous ow past a rigid body performing a rotation and a translation. Using a representation formula, we obtain pointwise decay bounds for the velocity and its gradient. This result improves estimates obtained by the authors in a previous article.
keywords: rotating body Navier-Stokes system viscous incompressible ow decay fundamental solution
DCDS
A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation
Paul Deuring Stanislav Kračmar Šárka Nečasová
Discrete & Continuous Dynamical Systems - A 2017, 37(3): 1389-1409 doi: 10.3934/dcds.2017057

We consider the Navier-Stokes system with Oseen and rotational terms describing the stationary flow of a viscous incompressible fluid around a rigid body moving at a constant velocity and rotating at a constant angular velocity. In a previous paper, we proved a representation formula for Leray solutions of this system. Here the representation formula is used as starting point for splitting the velocity into a leading term and a remainder, and for establishing pointwise decay estimates of the remainder and its gradient.

keywords: Exterior domain viscous incompressible flow rotating body fundamental solution asymptotic expansion Navier-Stokes system
DCDS-S
A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies
Paul Deuring Stanislav Kračmar Šárka Nečasová
Discrete & Continuous Dynamical Systems - S 2010, 3(2): 237-253 doi: 10.3934/dcdss.2010.3.237
A Green's formula is proved for solutions of a linearized system describing the stationary flow of a viscous incompressible fluid around a rigid body which is rotating and translating. The formula in question is based on the fundamental solution obtained by integrating the time variable in the fundamental solution of the corresponding evolutionary problem.
keywords: fundamental solution. viscous incompressible flow rotating body
DCDS-S
Linearized stationary incompressible flow around rotating and translating bodies -- Leray solutions
Paul Deuring Stanislav Kračmar Šárka Nečasová
Discrete & Continuous Dynamical Systems - S 2014, 7(5): 967-979 doi: 10.3934/dcdss.2014.7.967
We consider Leray solutions of the Oseen system with rotational terms, in an exterior domain. Such solutions are characterized by square-integrability of the gradient of the velocity and local square-integrability of the pressure. In a previous paper, we had shown a pointwise decay result for a slightly stronger type of solution. Here this result is extended to Leray solutions. We thus present a second access to this result, besides the one in G. P. Galdi, M. Kyed, Arch. Rat. Mech. Anal., 200 (2011), 21-58.
keywords: rotating body Leray solution representation formula. pointwise decay Stationary Oseen problem

Year of publication

Related Authors

Related Keywords

[Back to Top]