The blow-up curve for a weakly coupled system of semilinear wave equations with nonlinearities of derivative-type (Mathematical structures of integrable systems, their developments and applications)
In this paper, we study a blow-up curve for a weakly coupled system of semilinear wave equations with nonlinearities of derivative type in one space dimension. Employing the idea of Caffarelli and Friedman [1], we prove the blow-up curve becomes Lipschitz continuous under suitable initial conditions. Moreover, we show the blow-up rates of the solution of the wave equations
