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math.AP2023
Unique Solutions to Hyperbolic Conservation Laws with a Strictly Convex Entropy
Alberto Bressan, Graziano Guerra
Consider a strictly hyperbolic system of conservation laws, where each characteristic field is either genuinely nonlinear or linearly degenerate. In this standard setti…
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…