HOW LONG DOES IT TAKE FOR A GAS TO FILL A POROUS CONTAINER

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dc.contributor.authorCORTAZAR, C
dc.contributor.authorELGUETA, M
dc.date.accessioned2024-01-10T12:05:54Z
dc.date.available2024-01-10T12:05:54Z
dc.date.issued1994
dc.description.abstractLet us consider the problem u(t)(x, t) = Delta u(m)(x, t) for (x,t) epsilon D x [0, +infinity), u(x, 0)= u(0)(x) for x epsilon D, and (partial derivative u(m)/partial derivative n)(x, t) = h(x, t) for (x, t) epsilon partial derivative D x [0, +infinity). Here we assume D subset of R(N), m > 1, u(0) greater than or equal to 0,and h greater than or equal to 0. It is well known that solutions to this problem have the property of finite speed propagation of the perturbations. By this we mean that if z is an interior point of D and exterior to the support of u(0), then there exists a time T(z) > 0 so that u(z, t) = 0 for t < T(z) and u(z, t) > 0 for t > T(z).
dc.description.abstractIn this note we give, in an elementary way, an upper bound for T(z) for the case of bounded convex domains and in the case of a half space.
dc.fechaingreso.objetodigital2024-05-17
dc.format.extent5 páginas
dc.fuente.origenWOS
dc.identifier.doi10.2307/2161035
dc.identifier.issn0002-9939
dc.identifier.urihttps://doi.org/10.2307/2161035
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76084
dc.identifier.wosidWOS:A1994PL61900016
dc.information.autorucMatemática;Cortázar C;S/I;99550
dc.information.autorucMatemática;Elgueta M;S/I;99097
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final453
dc.pagina.inicio449
dc.publisherAMER MATHEMATICAL SOC
dc.revistaPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
dc.rightsacceso restringido
dc.subjectDIFFUSION
dc.subjectPOROUS MEDIA
dc.subjectMEDIUM EQUATION
dc.titleHOW LONG DOES IT TAKE FOR A GAS TO FILL A POROUS CONTAINER
dc.typeartículo
dc.volumen122
sipa.codpersvinculados99550
sipa.codpersvinculados99097
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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