Short wave stability for inviscid shear flow

dc.contributor	Virginia Tech	en
dc.contributor.author	Renardy, Michael J.	en
dc.contributor.department	Mathematics	en
dc.date.accessed	2014-05-27	en
dc.date.accessioned	2014-05-28T18:35:01Z	en
dc.date.available	2014-05-28T18:35:01Z	en
dc.date.issued	2008	en
dc.description.abstract	We consider the linear stability of inviscid shear flows. While it is well known that discontinuous velocity profiles lead to short wave instabilities and ill-posedness, known examples of instability for smooth profiles have a short wave cutoff; i.e., there is a critical wave number beyond which no unstable eigenvalues exist. This paper proves a result to this effect under suitable assumptions on the base flow profile.	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	Renardy, M., "Short wave stability for inviscid shear flow," SIAM J. Appl. Math., 69(3), 763-768, (2008). DOI: 10.1137/080720905	en
dc.identifier.doi	https://doi.org/10.1137/080720905	en
dc.identifier.issn	0036-1399	en
dc.identifier.uri	http://hdl.handle.net/10919/48133	en
dc.identifier.url	http://epubs.siam.org/doi/abs/10.1137/080720905	en
dc.language.iso	en	en
dc.publisher	Siam Publications	en
dc.rights	In Copyright	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject	hydrodynamic stability	en
dc.subject	rayleigh equation	en
dc.subject	inviscid shear flow	en
dc.subject	mathematics, applied	en
dc.title	Short wave stability for inviscid shear flow	en
dc.title.serial	Siam Journal on Applied Mathematics	en
dc.type	Article - Refereed	en
dc.type.dcmitype	Text	en

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