Title: Global weak solutions for a hyperbolic system arising in blood flow models in the half-line

Abstract: In this talk, we show the existence of entropy global weak solutions for the initial-boundary value problem of a non-strictly hyperbolic system arising in blood flow models in the half-line. We employ boundary entropy pairs and the theory of divergence measure fields to formulate a suitable notion of weak solution. We use the vanishing viscosity method and the compensated compactness framework to show the existence of entropy weak solutions for the initial-boundary value problem in the half-line when the initial data is rough, large and contains vacuum.