Micropolar fluid-thin elastic structure interaction: variational analysis

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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Effective flow of incompressible micropolar fluid through a system of thin pipes
Global well-posedness and large-time decay for the 2D micropolar equations
Global well-posedness for the micropolar fluid system in critical Besov spaces
A boundary control problem for the blood flow in venous insufficiency. The general case
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Compact sets in the space \(L^ p(0,T;B)\)
Micropolar fluids. Theory and applications
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On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation
Initial-boundary value problem for 2D micropolar equations without angular viscosity
Micropolar fluid flow in a thick domain with multiscale oscillating roughness and friction boundary conditions
Fluid-structure interactions. Models, analysis and finite elements
Existence for a quasi-static interaction problem between a viscous fluid and an active structure
Nonzero boundary condition for the unsteady micropolar pipe flow: well-posedness and asymptotics
Three dimensional asymptotic analysis of an axisymmetric flow in a thin tube with thin stiff elastic wall
Global regularity of the three-dimensional fractional micropolar equations
Unsteady micropolar fluid flow in a thin domain with Tresca fluid-solid interface law
Viscous fluid-thin elastic plate interaction: asymptotic analysis with respect to the rigidity and density of the plate
Optimization of the blood pressure with the control in coefficients
Asymptotic analysis of a micropolar fluid flow in a thin domain with a free and rough boundary
A micropolar fluid model of blood flow through a tapered artery with a stenosis
Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations
Asymptotic solution for a micropolar flow in a curvilinear channel
Optimization and Numerical Approximation for Micropolar Fluids
Asymptotic analysis of the nonsteady micropolar fluid flow through a curved pipe
Multilayered Poroelasticity Interacting with Stokes Flow

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