Smoothness of moments of the solutions of discrete coagulation equations with diffusion. (English) Zbl 1419.39041
Summary: 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).
MSC:
| 39A60 | Applications of difference equations |
| 39A12 | Discrete version of topics in analysis |
| 35B45 | A priori estimates in context of PDEs |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 82D60 | Statistical mechanics of polymers |
Keywords:
discrete coagulation systems; Smoluchowski equations; duality arguments; regularity; smoothness; moments estimatesReferences:
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