Hyperbolic Systems of Conservation Laws in Several Space Variables #231736

In Section 1 we show how to associate to each analytic function f of one variable a complex conservation law. When written in terms of real variables, this equation turns into a symmetric hyperbolic system of two first order conservation laws in time and two space variables for two unknowns. The' hope is that the theory of analytic functions can be exploited to study the properties of the solutions of these model equations.