On the existence and nonexistence of solutions of a nonlinear hyperbolic system describing heat propagation by second sound

Abstract

In this work, we consider a nonlinear hyperbolic system describing heat propagation, where the heat flux is given by Cattaneo's law. We state the global existence theorem, presented in [4], and establish a blow up result.

Keywords:

• Heat
• second sound
• nonlinear
• hyperbolic
• global existence
• blow-up

AMS:

• 35L45
• 73B05