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Existence of a weak solution to a nonlinear fluid–structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls
We study a nonlinear, unsteady, moving boundary, fluid–structure interaction (FSI) problem
arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which …
arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which …
[HTML][HTML] A fluid–structure model coupling the Navier–Stokes equations and the Lamé system
JP Raymond, M Vanninathan - Journal de Mathématiques Pures et …, 2014 - Elsevier
We study a fluid–structure system describing the motion of an elastic solid inside an
incompressible viscous fluid in three dimensions. The motion of the solid is described by the …
incompressible viscous fluid in three dimensions. The motion of the solid is described by the …
[HTML][HTML] Existence of a solution to a fluid–multi-layered-structure interaction problem
We study a nonlinear, unsteady, moving boundary, fluid–structure interaction (FSI) problem
in which the structure is composed of two layers: a thick layer, and a thin layer which serves …
in which the structure is composed of two layers: a thick layer, and a thin layer which serves …
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 …
incompressible, viscous Newtonian fluid, modeled by the 2D Navier–Stokes equations, and …
On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
M Ignatova, I Kukavica, I Lasiecka, A Tuffaha - Nonlinearity, 2014 - iopscience.iop.org
We address a fluid–structure system which consists of the incompressible Navier–Stokes
equations and a damped linear wave equation defined on two dynamic domains. The …
equations and a damped linear wave equation defined on two dynamic domains. The …
Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy
The long-time existence of a weak solution is proved for a nonlinear, fluid-structure
interaction (FSI) problem between an incompressible, viscous fluid and a semilinear …
interaction (FSI) problem between an incompressible, viscous fluid and a semilinear …
[PDF][PDF] Solutions to a fluid-structure interaction free boundary problem
I Kukavica, A Tuffaha - Discrete Contin. Dyn. Syst, 2012 - researchgate.net
Our main result is the existence of solutions to the free boundary fluid-structure interaction
system. The system consists of a Navier-Stokes equation and a wave equation defined in …
system. The system consists of a Navier-Stokes equation and a wave equation defined in …
A variational approach to hyperbolic evolutions and fluid-structure interactions
B Benešová, M Kampschulte… - Journal of the …, 2023 - content.ems.press
We show the existence of a weak solution for a system of partial differential equations
describing the motion of a flexible solid inside a fluid: A nonlinear, viscoelastic, n …
describing the motion of a flexible solid inside a fluid: A nonlinear, viscoelastic, n …
Moving boundary problems
S Čanić - Bulletin of the American Mathematical Society, 2021 - ams.org
Moving boundary problems are ubiquitous in nature, technology, and engineering.
Examples include the human heart and heart valves interacting with blood flow …
Examples include the human heart and heart valves interacting with blood flow …
On well-posedness for a free boundary fluid-structure model
M Ignatova, I Kukavica, I Lasiecka… - Journal of mathematical …, 2012 - pubs.aip.org
On well-posedness for a free boundary fluid-structure model | Journal of Mathematical Physics |
AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …
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