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We consider existence, large-time behaviour and fast-reaction limits of coagulation-fragmentation models with spatial diffusion. As continuous-in-size model, we study Smoluchowski's equation with constant coefficients. Discrete-in-size models are considered with more general coefficients.
The diffusion coefficients are allowed to degenerate in size. The main techniques include a-priori estimates based on the dissipation of an entropy functional, entropy entropy-dissipation methods, moment bounds and duality methods. |
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