For a linear coagulation kernel and a constant fragmentation kernel we prove the existence of equilibrium solutions and examine asymptotic properties for time-dependent solutions which are proved to converge to the equilibria. The rate of the convergence is estimated. It is shown also that all time-
Convergence to equilibrium for the continuous coagulation-fragmentation equation
✍ Scribed by Philippe Laurençot; Stéphane Mischler
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- French
- Weight
- 115 KB
- Volume
- 127
- Category
- Article
- ISSN
- 0007-4497
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Communicated by E. Meister It is shown that the non-linear coagulation-fragmentation equation with constant kernels has a unique equilibrium solution. This equilibrium solution is given explicitly in terms of the initial data and the kernels. Weak L' convergence of time-dependent solutions to t
## Abstract A non‐linear integro‐differential equation modelling coagulation and fragmentation is investigated using the theory of strongly continuous semigroups of operators. Under the assumptions that the coagulation kernel is bounded and the overall rate of fragmentation satisfies a linear growt