Finite volume schemes for locally constrained conservation laws (Q981642)

The paper is concerned with the study of the finite volume schemes for scalar conservation laws with local unilateral constraint of the form \(\partial_t u+\partial_x f(u)=0,\) \(t>0,x\in\mathbb R\), \(u(0,x)=u_0(x)\) and \(f(u(t,0))\leq F(t)\), \(t>0\). This type of problem models road obstacles in traffic. The authors characterize and approximate entropy solutions of the above problem in the \(L^\infty\) setting.