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math.AP2026
Well-posedness and numerical approximation of nonlinear conservation laws with hysteresis
Paola Goatin, Stefan Moreti
This article studies the Cauchy problem for the scalar conservation law \[ \partial_t u + \partial_t w + \partial_x f(u) = 0, \] where is the outpu…
math.AP2024
Non-local traffic flow models with time delay: well-posedness and numerical approximation
Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo
We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate so…