Existence of a weak solution to a fluid–elastic structure interaction problem with the Navier slip boundary condition
نویسندگان
چکیده
منابع مشابه
Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition
We study a nonlinear, moving boundary fluid-structure interaction (FSI) problem between an incompressible, viscous Newtonian fluid, modeled by the 2D Navier-Stokes equations, and an elastic structure modeled by the shell or plate equations. The fluid and structure are coupled via the Navier slip boundary condition and balance of contact forces at the fluid-structure interface. The slip boundary...
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We study the asymptotic behavior, at small viscosity ε, of the NavierStokes equations in a 2D curved domain. The Navier-Stokes equations are supplemented with the slip boundary condition, which is a special case of the Navier friction boundary condition where the friction coefficient is equal to two times the curvature on the boundary. We construct an artificial function, which is called a corr...
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Sikiru Adigun Sanni Department of Mathematics and Statistics, University of Uyo, Akwa Ibom, 520003 Uyo, Nigeria Correspondence should be addressed to Sikiru Adigun Sanni, [email protected] Received 4 August 2011; Accepted 15 October 2011 Academic Editor: Yuji Liu Copyright q 2011 Sikiru Adigun Sanni. This is an open access article distributed under the Creative Commons Attribution License, ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2016
ISSN: 0022-0396
DOI: 10.1016/j.jde.2016.02.029