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 $w(x,t)=[\mathcal{F}(u)(x,t)]$ is the outpu…