Abstract:
In this paper we study a finite volume approximation for the conservative formulation
of multiple fragmentation models. We investigate the convergence of the numerical solutions
towards a weak solution of the continuous problem by considering locally bounded kernels. The
proof is based on the Dunford-Pettis theorem by using the weak L1 compactness method. The
analysis of the method allows us to prove the convergence of the discretized approximated solution
towards a weak solution to the continuous problem in a weighted L1 space.