Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes - Couverture souple

Chudinovich, Igor

9781849969468: Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

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ISBN 10 : 1849969469 ISBN 13 : 9781849969468

Editeur : Springer, 2010

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The book presents variational methods combined with boundary integral equation techniques in application to a model of dynamic bending of plates with transverse shear deformation. The emphasis is on the rigorous mathematical investigation of the model, which covers a complete study of the well-posedness of a number of initial-boundary value problems, their reduction to time-dependent boundary integral equations by means of suitable potential representations, and the solution of the latter in Sobolev spaces. The analysis, performed in spaces of distributions, is applicable to a wide variety of data with less smoothness than that required in the corresponding classical problems, and is very useful for constructing error estimates in numerical computations. The presentation is detailed and clear, yet reasonably concise.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l?auteur

Igor Chudinovich is Professor of Mathematics at the University of Guanajuato, Mexico, and Christian Constanda is Oliphant Professor of Mathematical Sciences at the University of Tulsa, USA.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer
Date d'�dition2010
ISBN 10 1849969469
ISBN 13 9781849969468
ReliureBroch�
Langueanglais
Num�ro d'�dition1
Nombre de pages160

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9781852338886: Variational And Potential Methods For A Class Of Linear Hyperbolic Evolutionary Processes

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ISBN 10 : 1852338881 ISBN 13 : 9781852338886
Editeur : Springer London Ltd, 2005
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Springer, 2009 (Couverture souple)

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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

Igor Chudinovich

Edit� par Springer London, 2010

ISBN 10 : 1849969469 ISBN 13 : 9781849969468

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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. An up-to-date, concise and clearly organised treatment of an area that is growing in interestThe first book to illustrate variational methods and potential methods side by side in the study of dynamic problems in elasticity theoryDesigned t. N� de r�f. du vendeur 458524007

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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

Igor Chudinovich

Edit� par SPRINGER NATURE Okt 2010, 2010

ISBN 10 : 1849969469 ISBN 13 : 9781849969468

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 u = Au, 2 t 2 where u = u(x,t) is a vector-valued function, x is a point in a domain inR or 3 R,and A is a linear elliptic di erential operator. To facilitate a better und- standing of these two types of methods, below we propose to illustrate their mechanisms in action on a speci c mathematical model rather than in a more impersonal abstract setting. For this purpose, we have chosen the hyperbolic system of partial di erential equations governing the nonstationary bending of elastic plates with transverse shear deformation. The reason for our choice is twofold. On the one hand, in a certain sense this is a 'hybrid' system, c- sistingofthreeequationsforthreeunknownfunctionsinonlytwoindependent variables, which makes it more unusual-and thereby more interesting to the analyst-than other systems arising in solid mechanics. On the other hand, this particular plate model has received very little attention compared to the so-called classical one, based on Kirchho 's simplifying hypotheses, although, as acknowledged by practitioners, it represents a substantial re nement of the latter and therefore needs a rigorous discussion of the existence, uniqueness, and continuous dependence of its solution on the data before any construction of numerical approximation algorithms can be contemplated. 148 pp. Englisch. N� de r�f. du vendeur 9781849969468

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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

Igor Chudinovich

Edit� par Springer London, 2010

ISBN 10 : 1849969469 ISBN 13 : 9781849969468

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 u = Au, 2 t 2 where u = u(x,t) is a vector-valued function, x is a point in a domain inR or 3 R,and A is a linear elliptic di erential operator. To facilitate a better und- standing of these two types of methods, below we propose to illustrate their mechanisms in action on a speci c mathematical model rather than in a more impersonal abstract setting. For this purpose, we have chosen the hyperbolic system of partial di erential equations governing the nonstationary bending of elastic plates with transverse shear deformation. The reason for our choice is twofold. On the one hand, in a certain sense this is a 'hybrid' system, c- sistingofthreeequationsforthreeunknownfunctionsinonlytwoindependent variables, which makes it more unusual-and thereby more interesting to the analyst-than other systems arising in solid mechanics. On the other hand, this particular plate model has received very little attention compared to the so-called classical one, based on Kirchho 's simplifying hypotheses, although, as acknowledged by practitioners, it represents a substantial re nement of the latter and therefore needs a rigorous discussion of the existence, uniqueness, and continuous dependence of its solution on the data before any construction of numerical approximation algorithms can be contemplated. N� de r�f. du vendeur 9781849969468

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Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

Igor Chudinovich

Edit� par Springer London Ltd, 2010

ISBN 10 : 1849969469 ISBN 13 : 9781849969468

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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 267. N� de r�f. du vendeur C9781849969468

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