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Convergence to Equilibrium for the Discrete Coagulation-Fragmentation Equations with Detailed Balance

✍ Scribed by José A. Cañizo

Publisher
Springer
Year
2007
Tongue
English
Weight
485 KB
Volume
129
Category
Article
ISSN
0022-4715

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📜 SIMILAR VOLUMES

Trend to Equilibrium for the Coagulation
Trend to Equilibrium for the Coagulation–Fragmentation Equation
✍ P. B. Dubovskiǐ; I. W. Stewart 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 502 KB

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-

Approach to Equilibrium for the Coagulat
Approach to Equilibrium for the Coagulation–Fragmentation Equation via a Lyapunov Functional
✍ I. W. Stewart; P. B. Dubovskiǐ 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 624 KB

## 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