Boundary value problems for the 2D steady relativistic Euler equations with general equation of state

We consider several types of boundary value problems, including Goursat problem, mixed initial-boundary value problem, and centered wave problem for the two-dimensional steady relativistic Euler system with a general equation of state p=p(ρ) which is assumed to satisfy 00. Global classical solutions to these boundary value problems are constructed by the method of characteristic decomposition. Using these results, we also construct a global supersonic relativistic jet flow out of a semi-infinite convex duct intovacuum.