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 L compactness method. The analysis of the method allows us to ...

Let X be a Banach space and let C closed convex bounded subset of . It is proved that weakly compact if, only has the generic fixed point property ( G -FPP) for class L -bi-Lipschitz affine mappings every > 1 also if Pełczyński's u ), then either compact, contains an ℓ -sequence or c 0 -summing basic sequence. In this case, weak compactness equivalent to -FPP strengthened are uniformly bi-Lipsc...

We prove global existence of weak solutions for the co-rotational FENE dumbbell model and the Doi model also called the Rod model. The proof is based on propagation of compactness, namely if we take a sequence of weak solutions which converges weakly and such that the initial data converges strongly then the weak limit is also a solution. To cite this article: A. Name1, A. Name2, C. R. Acad. Sc...