2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77200We prove that for large enough data, the life span of smooth solutions to the Cauchy problem for the following two quasilinear hyperbolic systems is finite: (1) equations of relativistic compressible fluid dynamics, (2) equations of plasma dynamics (Euler-Maxwell equations with background charge) in the spherically symmetric case.13 pagesAnalysis of PDEsMathematical Physics76Y05; 35Q05Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamicstext