Stefano Bianchini

most citedEulerian, Lagrangian and broad continuous solutions to a balance law with non convex flux II

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

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 $u$ of the balance law \[ \partial_{\mathit t} u + \partial_{\mathit x} (f(u)) = g\] in one space dimension, where the flux function $f$ is of c…

math.AP2023

Existence and Blow-up for Non-autonomous Scalar Conservation Laws With Viscosity

Stefano Bianchini, Giacomo Maria Leccese

We consider a question posed in [GSZZ22], namely the blow-up of the PDE $u_{t} + (b (t, x) u^{1 + k})_{x} = u_{xx}$ when $b$ is uniformly bounded, Lipschitz and $k = 2$ . We give a comple…