TY - GEN A1 - Herrmann, Michael A1 - Naldzhieva, Margarita A1 - Niethammer, Barbara T1 - On a thermodynamically consistent modification of the Becker-Doering equations N2 - Recently, Dreyer and Duderstadt have proposed a modification of the Becker-Doering cluster equations which now have a nonconvex Lyapunov function. We start with existence and uniqueness results for the modified equations. Next we derive an explicit criterion for the existence of equilibrium states and solve the minimization problem for the Lyapunov function. Finally, we discuss the long time behavior in the case that equilibrium solutions do exist. KW - Becker-Doering equations KW - coagulation and fragmentation KW - nonconvex Lyapunov function KW - existence of equilibrium KW - convergence to equilibrium Y1 - 2005 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/271 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-2718 ER -