On the existence of shock fronts for a Burgers equation with a singular source term

On the Blow-up of the Solutions of a Qua

On the Blow-up of the Solutions of a Quasilinear Wave Equation With a Semilinear Source Term

✍ João-Paulo Dias; Mário Figueira 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 214 KB 👁 1 views

In this paper, following the ideas of Lax, we prove a blow-up result for a class of solutions of the equation & -&x -&+xx -= 0, corresponding, in certain cases, to the development of a singularity in the second derivatives of 4. These solutions solve locally (in time) the Cauchy problem for smooth i