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SBV regularity of Entropy Solutions for Hyperbolic Systems of Balance Laws with General Flux function
Fabio Ancona, Laura Caravenna, Andrea Marson
We prove that vanishing viscosity solutions to smooth non-degenerate systems of balance laws having small bounded variation, in one space dimension, must be functions of special bo…
math.AP2024★ 1 cited
Eulerian, Lagrangian and broad continuous solutions to a balance law with non convex flux II
Giovanni Alberti, Stefano Bianchini, Laura Caravenna
We consider a *continuous* solution of the balance law \[ \partial_{\mathit t} u + \partial_{\mathit x} (f(u)) = g\] in one space dimension, where the flux function is of c…