From nucleation to large aggregates: the growth of filamentary in industrial mathematics at ECMI 2000
dc.contributor.authorHerrero, Miguel A.
dc.contributor.editorAnile, Angelo Marcello
dc.contributor.editorCapasso, Vincenzo
dc.contributor.editorGreco, Antonio
dc.descriptionPapers from the 11th European Conference on Mathematics in Industry held in Palermo, September 26–30, 2000
dc.description.abstractWe shall briefly review some early nucleation models, and then examine some aspects of the subsequent evolution of their solutions. Such situation is characterised by the onset of comparatively large clusters that can diffuse into the medium and interact among themselves. We next discuss some situations where the aggregates being formed, whose actual shape is one of the major questions under consideration, do posses a filamentary nature, and can sometimes generate a percolating network. Finally, a particularly interesting case of such tree-like structures, that of vascular systems, will be addressed, and some facts (and open questions) concerning their simulation via reaction-diffusion equations will be discussed.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
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dc.relation.ispartofseriesMathematics in Industry : The European Consortium for Mathematics in Industry
dc.rights.accessRightsmetadata only access
dc.subject.ucmEcuaciones diferenciales
dc.subject.ucmInvestigación operativa (Matemáticas)
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.subject.unesco1207 Investigación Operativa
dc.titleFrom nucleation to large aggregates: the growth of filamentary
dc.typebook part