On the uniqueness for coagulation and multiple fragmentation equation

2012/08/02 by Ankik Kumar Giri, Giri, Ankik Kumar
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1208.0413

arxiv created 2013/03/25 · arxiv updated 2013/03/26

Abstract

In this article, the uniqueness of weak solutions to the continuous coagulation and multiple fragmentation equation is proved for a large range of unbounded coagulation and multiple fragmentation kernels. The multiple fragmentation kernels may have a singularity at origin. This work generalizes the preceding ones, by including some physically relevant coagulation and fragmentation kernels which were not considered before.

Related

• Weak solutions to the continuous coagulation equation with multiple fragmentation
• The continuous coagulation and nonlinear multiple fragmentation equation
• Existence and uniqueness of solutions for coagulation-fragmentation\n problems with singularity
• Well-posedness to the continuous coagulation processes with collision-induced multiple fragmentation
• Stationary solutions to coagulation-fragmentation equations