Variational Techniques in Blood Flow Modeling

  • Tiago, Jorge (CEMAT/Instituto Superior Técnico)
  • Marin-Gayte, Irene (CEMAT/Instituto Superior Técnico)
  • Guerra, Telma (CEMAT/Instituto Superior Técnico)

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One of the main challenges of blood flow modeling in large arteries consists of properly surrogating the remaining of the vascular system, upstream and downstream of the vascular district under study. Although several approaches may be addressed, a potentially successful approach consists of controlling boundary conditions while minimizing fitting type functionals. In this work, we present several results concerning the mathematical analysis as well as a computational approach for the solution of a class of such optimal control problems.