Existence and uniqueness theorem for the Safronov–Dubovski coagulation equation

The solutions of the discrete Safronov–Dubovski coagulation equation are investigated. We prove global existence for a class of unbounded coagulation kernels. We also show that for sub-linear unbounded kernels, the mass conservation law holds. Finally, we show that for bounded kernels, this equation...

Full description

Saved in:
Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Physik Vol. 65; no. 4; pp. 757 - 766
Main Author Davidson, James
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.08.2014
Subjects
Engineering
Mathematical Methods in Physics
Theoretical and Applied Mechanics
34A12
Online AccessGet full text

Cover

More Information
Summary:The solutions of the discrete Safronov–Dubovski coagulation equation are investigated. We prove global existence for a class of unbounded coagulation kernels. We also show that for sub-linear unbounded kernels, the mass conservation law holds. Finally, we show that for bounded kernels, this equation has a unique global solution that is continuously dependent on the initial data.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-013-0360-y