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math.AP2024
Initial Data Identification for Conservation Laws with Spatially Discontinuous Flux
Fabio Ancona, Luca Talamini
We consider a scalar conservation law with a spatially discontinuous flux at a single point , and we study the initial data identification problem for -entropy solutions a…
math.AP2024
Intermediate Domains for Scalar Conservation Laws
Fabio Ancona, Alberto Bressan, Elio Marconi +1
For a scalar conservation law with strictly convex flux, by Oleinik's estimates the total variation of a solution with initial data decay…
math.AP2024
Backward-forward characterization of attainable set for conservation laws with spatially discontinuous flux
Fabio Ancona, Luca Talamini
Consider a scalar conservation law with a spatially discontinuous flux at a single point x=0, and assume that the flux is uniformly convex when x\neq 0. Given an interface connecti…