Mathematical modelling for solvated crystallization

Amira Rachah (1) , Dominikus Noll (1) , Fabienne Espitalier (2) , Fabien Baillon (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 RAPSODEE - Centre de recherche d'Albi en génie des procédés des solides divisés, de l'énergie et de l'environnement

We present a mathematical model for solvated crystallization of alpha-lactose monohydrate based on population, mass and energy balance equations. We prove global existence and uniqueness of solutions under realistic conditions for a system operated in batch or semi-batch mode.

Mots clés: existence and uniqueness; modelling; characteristic curves; crystallization; existence and uniqueness; crystallization; 35A01; 97M10; characteristic curves

Domaines: Sciences de l'ingénieur [physics]

Amira Rachah, Dominikus Noll, Fabienne Espitalier, Fabien Baillon. Mathematical modelling for solvated crystallization. IMA Journal of Applied Mathematics, 2017, 82 (1), p. 195-223. ⟨10.1093/imamat/hxw012⟩. ⟨hal-01619248⟩