Waves, structures, and the Riemann problem for a system of hyperbolic conservation laws

A. P. Chugainova, D. V. Treschev

A system of hyperbolic conservation laws $$ \partial_t u + \partial_x \partial_u Q = 0, \quad Q = u_1^3 / 3 + u_1 u_2^2, \qquad u = u(x,t) \in\mR^2, $$ as well as its viscous regul…