On Bloch waves for the Stokes equations

Author	dc.contributor.author	Allaire, Grégoire
Author	dc.contributor.author	Conca Rosende, Carlos	es_CL
Author	dc.contributor.author	Friz, Luis	es_CL
Author	dc.contributor.author	Ortega Palma, Jaime	es_CL
Admission date	dc.date.accessioned	2013-07-01T16:12:13Z
Available date	dc.date.available	2013-07-01T16:12:13Z
Publication date	dc.date.issued	2007-01
Cita de ítem	dc.identifier.citation	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B Volume: 7 Issue: 1 Pages: 1-28 Published: JAN 2007	en_US
Identifier	dc.identifier.issn	1531-3492
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/125786
General note	dc.description	Artículo de publicación ISI	en_US
Abstract	dc.description.abstract	In this work, we study the Bloch wave decomposition for the Stokes equations in a periodic media in R-d. We prove that, because of the incompressibility constraint, the Bloch eigenvalues, as functions of the Bloch frequency xi, are not continuous at the origin. Nevertheless, when xi goes to zero in a fixed direction, we exhibit a new limit spectral problem for which the eigenvalues are directionally differentiable. Finally, we present an analogous study for the Bloch wave decomposition for a periodic perforated domain.	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	AMER INST MATHEMATICAL SCIENCES	en_US
Keywords	dc.subject	spectral theory	en_US
Título	dc.title	On Bloch waves for the Stokes equations	en_US
Document type	dc.type	Artículo de revista