Vanishing viscosity solutions of a $2\times 2$ triangular hyperbolic system with Dirichlet conditions on two boundaries

Laura V. Spinolo

We consider the $2\times 2$ parabolic systems \begin{equation*} u^ε_t + A(u^ε) u^ε_x = εu^ε_{xx} \end{equation*} on a domain $(t,x)\in ]0,+\infty [\times ]0,l[$ with Dirichle…