Smoothness of moments of the solutions of discrete coagulation equations with diffusion

Abstract

In this paper, we establish smoothness of moments of the solutions of discrete coagulation-diffusion systems. As key assumptions, we suppose that the coagulation coefficients grow at most sub-linearly and that the diffusion coefficients converge towards a strictly positive limit (those conditions also imply the existence of global weak solutions and the absence of gelation).

References in corpus (2)

• Moment bounds for the Smoluchowski equation and their consequences
• Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion