For thin blood vessels in tissue, solutions of the full 3D Darcy-Stokes system converge to reduced 3D-1D and 1D models at rate epsilon^{1/6}|log epsilon|.
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A hierarchy of blood vessel models, Part II: 3D-3D to 3D-1D and 1D
For thin blood vessels in tissue, solutions of the full 3D Darcy-Stokes system converge to reduced 3D-1D and 1D models at rate epsilon^{1/6}|log epsilon|.