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Stability estimates for non-local scalar conservation laws
Felisia Angela Chiarello, Paola Goatin, Elena Rossi
We prove the stability of entropy weak solutions of a class of scalar conservation laws with non-local flux arising in traffic modelling. We obtain an estimate of the dependence of…
Non Local Conservation Laws in Bounded Domains
Elena Rossi, Rinaldo M. Colombo
The well posedness for a class of non local systems of conservation laws in a bounded domain is proved and various stability estimates are provided. This construction is motivated…
Definitions of solutions to the IBVP for multiD scalar balance laws
Elena Rossi
We consider four definitions of solution to the initial-boundary value problem for a scalar balance laws in several space dimensions. These definitions are generalised to the same…
Rigorous Estimates on Balance Laws in Bounded Domains
Rinaldo M. Colombo, Elena Rossi
The initial-boundary value problem for a general balance law in a bounded domain is proved to be well posed. Indeed, we show the existence of an entropy solution, its uniqueness an…