RANDOM WALKS AND THE POROUS MEDIUM EQUATION

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dc.contributor.authorCortazar, C.
dc.contributor.authorElgueta, M.
dc.contributor.authorMartinez, S.
dc.contributor.authorRossi, J. D.
dc.date.accessioned2024-01-10T12:07:57Z
dc.date.available2024-01-10T12:07:57Z
dc.date.issued2009
dc.description.abstractIn this paper we consider a fixed initial condition u(0) and we study the limit as epsilon -> 0 of u(epsilon), the solution to the re-scaled problem
dc.description.abstractu(t)(x,y) = 1/epsilon(2)(integral(R)J(x-y/epsilon u(y,t))dy/epsilon-u(x,t)) in R x [0, infinity)
dc.description.abstractwith initial condition u(epsilon)(x, 0) = u(0)(x). Here J is a smooth non negative even function supported in the interval [-1, 1]. Moreover it is assumed that integral J - 1 and that J is decreasing on [0, 1].
dc.description.abstractWe prove that, under adequate hypothesis on the initial condition, the limit
dc.description.abstractlim(epsilon -> 0) u(epsilon) = u
dc.description.abstractis the solution to the well known porous medium equation v(t) = D(v(3))(xx), with initial condition u(epsilon)(x, 0) - u(0)(x) for a suitable constant D.
dc.description.funderFONDECYT
dc.description.funderCONICET, Argentina
dc.description.funderMEC, Spain,
dc.description.funderUBA
dc.format.extent7 páginas
dc.fuente.origenWOS
dc.identifier.issn0041-6932
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76341
dc.identifier.wosidWOS:000273461000012
dc.information.autorucMatemática;Cortázar C;S/I;99550
dc.information.autorucMatemática;Elgueta M;S/I;99097
dc.issue.numero2
dc.language.isoen
dc.nota.accesoSin adjunto
dc.pagina.final155
dc.pagina.inicio149
dc.publisherUNION MATEMATICA ARGENTINA
dc.revistaREVISTA DE LA UNION MATEMATICA ARGENTINA
dc.rightsregistro bibliográfico
dc.subjectNonlocal diffusion
dc.subjectfree boundaries
dc.subjectNONLOCAL DIFFUSION-PROBLEMS
dc.subjectBOUNDARY-CONDITIONS
dc.subjectHEAT-EQUATION
dc.subjectAPPROXIMATE
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleRANDOM WALKS AND THE POROUS MEDIUM EQUATION
dc.typeartículo
dc.volumen50
sipa.codpersvinculados99550
sipa.codpersvinculados99097
sipa.indexWOS
sipa.indexScielo
sipa.trazabilidadCarga SIPA;09-01-2024
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