Instantaneous gelation in coagulation dynamics

• Author(s): Costa, Fernando Pestana da ; Carr, J.
• Date: 1992
• Persistent ID: http://hdl.handle.net/10400.2/1535
• Origin: Repositório Aberto da Universidade Aberta
• Subject(s): Smoluchowski coagulation equations; Gelation; Asymptotic behaviour of solutions
• Document Type: Article
• Language: English

Description

The coagulation equations are a model for the dynamics of cluster growth in which clusters can coagulate via binary interactions to form larger clusters. For a certain class of rate coefficients we prove that the density is not conserved on any time interval.