EXISTENCE OF STEADY TWO-PHASE FLOWS WITH DISCONTINUOUS BOILING EFFECTS

Teddy Pichard (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We aim at characterizing the existence and uniqueness of steady solutions to hyperbolic balance laws with source terms depending discontinu-ously on the unknown. We exhibit conditions for such differential equations to be well-posed and apply it to a model describing boiling flows.

Domaines: Equations aux dérivées partielles [math.AP]

Teddy Pichard. EXISTENCE OF STEADY TWO-PHASE FLOWS WITH DISCONTINUOUS BOILING EFFECTS. XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications, Jun 2018, Pennstate, United States. ⟨hal-01981688⟩