Analysis and Numerical Simulation of a Polymerization Model with Possible Agglomeration Process

In this paper we present an analytical and numerical modeling of a general polymerization process with possible lengthening by an agglomeration mechanism. The proposed model takes into account the 2D spatial diffusion of the monomers for the mass transfer between monomers and polymers. We investigate the well-posedness of this general polymerization model and propose an adequate numerical scheme based on a generalization of the anti-dissipative method developed in Goudon (Math. Models Methods Appl. Sci. 23:1177–1215, 2013).