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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.AP2025
Wave-front tracking for a quasi-linear scalar conservation law with hysteresis II: the case of Preisach
Fabio Bagagiolo, Stefan Moreti
We consider the Cauchy problem for the quasi-linear scalar conservation law \[u_t+\mathcal{F}(u)_t+u_x=0,\] where is a specific hysteresis operator. Hysteresis models…
math.AP2024
Wave-front tracking for a quasi-linear scalar conservation law with hysteresis
Fabio Bagagiolo, Stefan Moreti
In this article we deal with the Cauchy problem for the quasi-linear scalar conservation law \[u_t+ {\cal F}(u)_t+u_x=0,\] where is a specific hysteresis operator, namel…