Dias, J.-P.; Figueira, M. On the radial weak solutions of a conservative system modeling the isentropic flow. (English) Zbl 1052.35122 Rend. Mat. Appl., VII. Ser. 21, No. 1-4, 245-258 (2001). This paper deals with the existence of global weak solutions for the quasilinear hyperbolic system with a singular source term: \[ a_t+ (au)_x+ \frac {2au}{x}=0, \quad x>0,\;t\geq 0, \qquad u_t+ \tfrac 12 (a^2+u^2)_x=0 \] with the initial data \((a(x,0),u(x,0))= (a_0(x), u_0(x))\), \(x>0\). Reviewer: Messoud A. Efendiev (Berlin) Cited in 1 Document MSC: 35L65 Hyperbolic conservation laws 35Q35 PDEs in connection with fluid mechanics 74N10 Displacive transformations in solids 35L45 Initial value problems for first-order hyperbolic systems Keywords:global weak solutions; singular source term PDFBibTeX XMLCite \textit{J. P. Dias} and \textit{M. Figueira}, Rend. Mat. Appl., VII. Ser. 21, No. 1--4, 245--258 (2001; Zbl 1052.35122)