Uniform $L_1$ boundedness of solutions of hyperbolic conservation laws
Uniform $L_1$ boundedness of solutions of hyperbolic conservation laws
In this paper, we study the Li stability of perturbation of constant states for 2 x 2 systems of conservation laws.We introduce a nonlinear functional which is equivalent to the Li norm of the difference between the constant state and the approximate solutions consisting of elementary waves and is non-increasing …