Topological Methods in Nonlinear Analysis

Strong solutions in $L^2$ framework for fluid-rigid body interaction problem. Mixed case

Hind Al Baba, Nikolai V. Chemetov, Šárka Nečasová, and Boris Muha

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Abstract

The paper deals with the problem describing the motion of a rigid body inside a viscous incompressible fluid when the mixed boundary conditions are considered. At the fluid-rigid body interface the slip Navier boundary condition is prescribed, having the continuity of velocity just in the normal component, and the Dirichlet condition is given on the boundary of the fluid domain. The existence and uniqueness of the local strong solution is proven by the local transformation and the fixed point argument.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 52, Number 1 (2018), 337-350.

Dates
First available in Project Euclid: 9 August 2018

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1533780030

Digital Object Identifier
doi:10.12775/TMNA.2018.028

Mathematical Reviews number (MathSciNet)
MR3867991

Zentralblatt MATH identifier
07029873

Citation

Al Baba, Hind; Chemetov, Nikolai V.; Nečasová, Šárka; Muha, Boris. Strong solutions in $L^2$ framework for fluid-rigid body interaction problem. Mixed case. Topol. Methods Nonlinear Anal. 52 (2018), no. 1, 337--350. doi:10.12775/TMNA.2018.028. https://projecteuclid.org/euclid.tmna/1533780030


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