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Sinopsis
Double-layer potentials may be used in order to construct strong solutions of the Stokes system on Lipschitz bounded domains, under Dirichlet boundary conditions. It is known that such an approach works in an L2-framework. This book deals with the question of whether it is possible to derive a corresponding Lp-theory for p not equal to 2. To this end, a special Lipschitz domain is chosen, namely a right circular infinite cone. Then the space of all p-integrable functions on the surface of this cone is considered. Two kinds of double-layer potentials are introduced on this space, one related to the Stokes system, the other related to the Stokes system with resolvent term. How the Fredholm properties of these potentials depend on p, on the vertex angle of the cone, and, in the second case, on the resolvent parameter is considered. The proof of the corresponding results is worked out in detail so that the book should be accessible not only to scientists working in the field, but also to graduate students.
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Reseña del editor
Double-layer potentials may be used in order to construct strong solutions of the Stokes system on Lipschitz bounded domains, under Dirichlet boundary conditions. It is known that such an approach works in an L2-framework. This book deals with the question of whether it is possible to derive a corresponding Lp-theory for p not equal to 2. To this end, a special Lipschitz domain is chosen, namely a right circular infinite cone. Then the space of all p-integrable functions on the surface of this cone is considered. Two kinds of double-layer potentials are introduced on this space, one related to the Stokes system, the other related to the Stokes system with resolvent term. How the Fredholm properties of these potentials depend on p, on the vertex angle of the cone, and, in the second case, on the resolvent parameter is considered. The proof of the corresponding results is worked out in detail so that the book should be accessible not only to scientists working in the field, but also to graduate students.
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The Stokes System in an Infinite Cone (Mathematical Research)
Publicado por
Alademie Verlag, Berlin
ISBN 10: 3055016394
ISBN 13: 9783055016394
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Softcover
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Librería: Alien Bindings, BALTIMORE, MD, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Softcover. Condición: Very Good. No Jacket. First Edition. The Stokes System in an Infinite Cone (Volume 78 of Mathematical Research) by Paul Deuring. Rare softcover First Edition in stiff light blue textured wraps with white lettering. Very Good condition. The covers are in great shape with light surface wear. The binding is square and tight. Minor abrasion to the half-title page. The interior pages are clean, bright, and unmarked.Double-layer potentials are explored as a method for constructing strong solutions to the Stokes system on Lipschitz-bounded domains under Dirichlet boundary conditions, focusing on extending the existing L -framework to an Lp-theory for p ? 2. The study examines these potentials in the context of a right circular infinite cone, analyzing their Fredholm properties based on parameters such as p, the cone's vertex angle, and, for the resolvent term case, the resolvent parameter. Detailed proofs make the book accessible to researchers and graduate students alike.The book will be carefully packaged for shipment for protection from the elements. USPS electronic tracking number issued free of charge. Feel free to contact us for more information or pictures regarding the book. Nº de ref. del artículo: 16647
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The Stokes System in an Infinite Cone (Mathematical Research, Band 78)
Publicado por
De Gruyter Oldenbourg, 2014
ISBN 10: 3055016394
ISBN 13: 9783055016394
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Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Seiten: 512 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Nº de ref. del artículo: 41798751/202
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