Analysis and numerical simulation of a polymerization model with aggregation and Ostwald ripening for the growth phenomenon
Matar Tine, Léon ; Lèye, Babacar
HAL, hal-01933553 / Harvested from HAL
Text on HAL
In this paper we present an analytical and numerical modeling of a general polymerization process with possible lengthening by coagulation 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 [14].
Publié le : 2018-10-29
Classification:  numerical simulation,  anti-diffusive method,  finite volume method,  coagulation operator,  hyperbolic-parabolic coupling,  Polymerization process,  [MATH]Mathematics [math],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-01933553,
     author = {Matar Tine, L\'eon and L\`eye, Babacar},
     title = {Analysis and numerical simulation of a polymerization model with aggregation and Ostwald ripening for the growth phenomenon},
     journal = {HAL},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01933553}
}

Matar Tine, Léon; Lèye, Babacar. Analysis and numerical simulation of a polymerization model with aggregation and Ostwald ripening for the growth phenomenon. HAL, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/hal-01933553/