We consider the behaviour of solutions to the continuous constant-rate coagulation-fragmentation equation in the vicinity of an equilibrium solution. Semigroup methods are used to show that the governing linear equation for a perturbation epsilon(x,t) has a unique globally defined solution for suitable initial conditions. In addition, Laplace transforms and the method of characteristics lead to an explicit formula for epsilon. The long-term behavior of epsilon is also discussed.
|Name||AIP Conference Proceedings|
|Publisher||American Institute of Physics|
|Conference||International Conference on Numerical Analysis and Applied Mathematics 2008|
|Period||16/09/08 → 20/09/08|
- stability of equilibria
- numerical analysis
- applied mathematics