The porous medium equation with blowing up boundary data

dc.contributor.author	Venegas Torres, Osvaldo
dc.date	2009
dc.date.accessioned	2012-02-23T04:01:32Z
dc.date.available	2012-02-23T04:01:32Z
dc.date.issued	2012-02-23
dc.description.abstract	We 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.format	PDF	es
dc.identifier.citation	Advanced Nonlinear Studies, Vol.9, N°1, 1-27, 2009	es
dc.identifier.uri	https://repositoriodigital.uct.cl/handle/10925/658
dc.language.iso	en	es
dc.publisher	Advances in Nonlinear Studies, INC	es
dc.source	Advanced Nonlinear Studies	es
dc.subject	Teoría matemática	es
dc.subject	Modelos numéricos	es
dc.title	The porous medium equation with blowing up boundary data	es
dc.type	Artículo de Revista	es
uct.carrera	Plan Común Ingeniería	es
uct.catalogador	FGE	es
uct.comunidad	Ingeniería	es
uct.facultad	Facultad de Ingeniería	es
uct.indizacion	ISI	es