The two-dimensional Riemann problem in gas dynamics

About this book

We begin with a preliminary chapter describing some fundamental concepts associated with hyperbolic conservation laws, and confine ourselves to the case in two spatial dimensions, ut + F(u)x +G(u)y = 0, where u = (u1, u2,..., un) is a function of t (the time variable) and (x, y) (the spatial variables), F = (F1,F2,...,Fn) and G = (G1,G2,... ,Gn) are functions of u lying in an open domain, bounded or unbounded, in the state space Rn.