The porous medium equation with blowing up boundary data

datacite.alternateIdentifier.citationAdvanced Nonlinear Studies, Vol.9, N°1, 1-27, 2009es
datacite.creatorVenegas Torres, Osvaldo
datacite.date2009
datacite.date.issued2012-02-23
datacite.subjectTeoría matemáticaes
datacite.subjectModelos numéricoses
datacite.titleThe porous medium equation with blowing up boundary dataes
dc.date.accessioned2012-02-23T04:01:32Z
dc.date.available2012-02-23T04:01:32Z
dc.description.abstractWe study the blow-up set of a solution u(x,t) to the porous medium equation, ut = δ(um), in ω x (0,T) for two different boundary conditions, u(x,t)=f (x)/(T - t)1/m-xor -∂um/∂n̂(x,t) = g(x)/(T - t)m/m-1 on ∂ω× (0,T). Here m > 1 and ω is a bounded smooth domain in ℝN. We establish point-wise and integral conditions on f and g respectively in order to obtain regional or global blow-up.es
dc.formatPDFes
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/658
dc.language.isoenes
dc.publisherAdvances in Nonlinear Studies, INCes
dc.sourceAdvanced Nonlinear Studieses
oaire.resourceTypeArtículo de Revistaes
uct.carreraPlan Común Ingenieríaes
uct.catalogadorFGEes
uct.comunidadIngenieríaes
uct.facultadFacultad de Ingenieríaes
uct.indizacionISIes
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