2 papers
math.AP2023
Well Posedness and Characterization of Solutions to Non Conservative Products in Non Homogeneous Fluid Dynamics Equations
Rinaldo M. Colombo, Graziano Guerra, Yannick Holle
Consider a balance law where the flux depends explicitly on the space variable. At jump discontinuities, modeling considerations may impose the defect in the conservation of some q…
math.AP2021
Non Conservative Products in Fluid Dynamics
R. M. Colombo, G. Guerra, Y. Holle
Fluid flow in pipes with discontinuous cross section or with kinks is described through balance laws with a non conservative product in the source. At jump discontinuities in the p…