Asymptotic behavior of the generalized Becker-D\"oring equations for general initial data
Rincón, José Alfredo Cañizo
arXiv, 0507038 / Harvested from arXiv
Text on arXiv
We prove the following asymptotic behavior for solutions to the generalized Becker-D\"oring system for general initial data: under a detailed balance assumption and in situations where density is conserved in time, there is a critical density $\rho_s$ such that solutions with an initial density $\rho_0 \leq \rho_s$ converge strongly to the equilibrium with density $\rho_0$, and solutions with initial density $\rho_0 > \rho_s$ converge (in a weak sense) to the equilibrium with density $\rho_s$. This extends the previous knowledge that this behavior happens under more restrictive conditions on the initial data. The main tool is a new estimate on the tail of solutions with density below the critical density.
Publié le : 2005-07-15
Classification:  Mathematical Physics,  34E10 
@article{0507038,
     author = {Rinc\'on, Jos\'e Alfredo Ca\~nizo},
     title = {Asymptotic behavior of the generalized Becker-D\"oring equations for
  general initial data},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507038}
}

Rincón, José Alfredo Cañizo. Asymptotic behavior of the generalized Becker-D\"oring equations for
  general initial data. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507038/