Stratified solutions for systems of conservation laws (Q2706620)

The authors study a class of weak solutions to hyperbolic systems of balance laws \(\partial_tu+ \partial_x F(u)= f(t,x,u)\) in one space dimension. These solutions are called stratified solutions. They are bounded and ``regular'' in the direction of a linearly degenerate characteristic field, but not in other directions. In particular, they are not required to have finite total variation. Some results of local existence and uniqueness are proved and examples of suitable systems are presented.