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in SIAM review
Titre de série : SIAM review, Vol.41 No.3 Titre : On the Theory of Complex Rays Type de document : articles et extraits Auteurs : S. J. Chapman, Auteur ; J. M. H. Lawry, Auteur ; J. R. Ockendon, Auteur ; R. H. Tew, Auteur Année de publication : 1999 Importance : p.417-509 Langues : Français (fre) Mots-clés : Exponential asymptotics Geometrical optics Geometrical theory of diffraction Helmholtz equation Stokes' phenomenon Résumé : The article surveys the application of complex-ray theory to the scalar Helmholtz equation in two dimensions. The first objective is to motivate a framework within which complex rays may be used to make predictions about wavefields in a wide variety of geometrical configurations. A crucial ingredient in this framework is the role played by Sp{} in determining the regions of existence of complex rays. The identification of the Stokes surfaces emerges as a key step in the approximation procedure, and this leads to the consideration of the many characterizations of Stokes surfaces, including the adaptation and application of recent developments in exponential asymptotics to the complex Wentzel--Kramers--Brilbuin expansion of these wavefields. Examples are given for several cases of physical importance.
in SIAM review
SIAM review, Vol.41 No.3. On the Theory of Complex Rays [articles et extraits] / S. J. Chapman, Auteur ; J. M. H. Lawry, Auteur ; J. R. Ockendon, Auteur ; R. H. Tew, Auteur . - 1999 . - p.417-509.
Langues : Français (fre)
Mots-clés : Exponential asymptotics Geometrical optics Geometrical theory of diffraction Helmholtz equation Stokes' phenomenon Résumé : The article surveys the application of complex-ray theory to the scalar Helmholtz equation in two dimensions. The first objective is to motivate a framework within which complex rays may be used to make predictions about wavefields in a wide variety of geometrical configurations. A crucial ingredient in this framework is the role played by Sp{} in determining the regions of existence of complex rays. The identification of the Stokes surfaces emerges as a key step in the approximation procedure, and this leads to the consideration of the many characterizations of Stokes surfaces, including the adaptation and application of recent developments in exponential asymptotics to the complex Wentzel--Kramers--Brilbuin expansion of these wavefields. Examples are given for several cases of physical importance.
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Code-barres Cote Support Localisation Section Disponibilité ART-6928-0 ART Document imprimé Bureau chercheur Bureau de LE DIZES, Stéphane Disponible Documents numériques
http://citeseer.nj.nec.com/chapman97theory.htmlURL SIAM review, Vol.14. Weak nonlinear dispersive waves / A. Jeffrey
in SIAM review
Titre de série : SIAM review, Vol.14 Titre : Weak nonlinear dispersive waves Type de document : articles et extraits Auteurs : A. Jeffrey, Auteur ; T. Kakutani, Auteur Année de publication : 1972 Importance : p.582-643 Langues : Français (fre)
in SIAM review
SIAM review, Vol.14. Weak nonlinear dispersive waves [articles et extraits] / A. Jeffrey, Auteur ; T. Kakutani, Auteur . - 1972 . - p.582-643.
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Code-barres Cote Support Localisation Section Disponibilité ART-7151-0 ART Document imprimé Bureau chercheur Bureau de VERGA Alberto Disponible
in SIAM review
Titre de série : SIAM review, Vol.45 No.1 Titre : Instabilities in Gravity Driven Flow of Thin Fluid Films Type de document : articles et extraits Auteurs : L. Kondic, Auteur Année de publication : 2003 Importance : p.95-115 ISBN/ISSN/EAN : 0036-1445 Langues : Français (fre) Résumé : This paper presents theoretical, computational, and experimental aspects of the instability development in the flow of thin fluid films. The theoretical part involves basic fluid mechanics and presents derivation of the thin film equation using lubrication approximation. A simplified version of this equation is then analyzed analytically using linear stability analysis, and also numerically. The results are then compared directly to experiments. The experimental part outlines the setup, as well as data acquisition and analysis. This immediate comparison to experiments is very useful for gaining better insight into the interpretation of various theoretical and computational results.
in SIAM review
SIAM review, Vol.45 No.1. Instabilities in Gravity Driven Flow of Thin Fluid Films [articles et extraits] / L. Kondic, Auteur . - 2003 . - p.95-115.
ISSN : 0036-1445
Langues : Français (fre)
Résumé : This paper presents theoretical, computational, and experimental aspects of the instability development in the flow of thin fluid films. The theoretical part involves basic fluid mechanics and presents derivation of the thin film equation using lubrication approximation. A simplified version of this equation is then analyzed analytically using linear stability analysis, and also numerically. The results are then compared directly to experiments. The experimental part outlines the setup, as well as data acquisition and analysis. This immediate comparison to experiments is very useful for gaining better insight into the interpretation of various theoretical and computational results.
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Code-barres Cote Support Localisation Section Disponibilité ART-8172-0 ART Document imprimé Bureau chercheur Bureau de Bossa Benjamin Disponible Documents numériques
http://epubs.siam.org/sam-bin/getfile/SIREV/articles/40135.pdfURL