Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation with inverse power law kernels

Abstract

Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation is shown when the coagulation kernel $K$ is given by $K(x,x\_\ast )=2(xx\_\ast {)}^{-\alpha }$, $(x,x\_\ast )\in (0,\infty {)}^2$, for some $\alpha >0$.

References in corpus (2)

• Instabilities and oscillations in coagulation equations with kernels of homogeneity one
• Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity smaller than one

Cited by in corpus (2)

• Grain growth for astrophysics with Discontinuous Galerkin schemes
• Coalescense with arbitrary-parameter kernels and monodisperse initial conditions: A study within combinatorial framework