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2005-10-17Buch DOI: 10.18452/2572
On a thermodynamically consistent modification of the Becker-Doering equations
dc.contributor.authorHerrmann, Michael
dc.contributor.authorNaldzhieva, Margarita
dc.contributor.authorNiethammer, Barbara
dc.date.accessioned2017-06-15T17:35:39Z
dc.date.available2017-06-15T17:35:39Z
dc.date.created2005-11-02
dc.date.issued2005-10-17
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3224
dc.description.abstractRecently, 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.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectBecker–Döring equationseng
dc.subjectcoagulation and fragmentationeng
dc.subjectnonconvex Lyapunov functioneng
dc.subjectexistence of equilibriumeng
dc.subjectconvergence to equilibriumeng
dc.subject.ddc510 Mathematik
dc.titleOn a thermodynamically consistent modification of the Becker-Doering equations
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10051929
dc.identifier.doihttp://dx.doi.org/10.18452/2572
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages33
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2005
local.edoc.container-issue17
local.edoc.container-year2005
local.edoc.container-erstkatid2075199-0

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