| Abstract: |
| We are interested in flow of a viscous incompressible fluid in distorted pipes of finite length, modeled through the Navier-Stokes equations with mixed boundary conditions. At the outlets, directional do-nothing boundary conditions are imposed on the fluid motion. We investigate existence, uniqueness and regularity of solutions in the $2d$ and $3d$ cases. This is joint work with Alessio Falocchi (Politecnico di Milano, Italy) and Gianmarco Sperone (Pontificia Universidad Cat\`{o}lica de Chile, Santiago). |
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