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21 p, 239.6 KB Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion / Cañizo Rincón, José Alfredo (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Desvillettes, L. (École Normale Supérieure de Cachan (Cachan, França)) ; Fellner, K. (University of Cambridge. Department of Applied Mathematics and Theoretical Physics) ; Centre de Recerca Matemàtica
We present a new a-priori estimate for discrete coagulation fragmentation systems with size-dependent diffusion within a bounded, regular domain confined by homogeneous Neumann boundary conditions. Following from a duality argument, this a-priori estimate provides a global L2 bound on the mass density and was previously used, for instance, in the context of reaction-diffusion equations. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 890)  

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