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

Name: Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes
Brand: Springer London Ltd
SKU: 9781849969468
Price: 296.2 RON
Availability: InStock

Autor: Igor Chudinovich

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Editura: Springer London Ltd

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The book presents variational methods combined with boundary integral equation techniques in applica...

Informații despre carte

Autor

Igor Chudinovich

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

148

EAN

9781849969468

ISBN

1849969469

Enbook ID

01434829

Editura

Springer London Ltd

Greutate

254

Dimensiuni

155 x 235 x 235

Descriere completă

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. This illustrative model was chosen because of its practical importance and some unusual mathematical features, but the solution technique can easily be adapted to many other hyperbolic systems of partial differential equations arising in continuum mechanics.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. This illustrative model was chosen because of its practical importance and some unusual mathematical features, but the solution technique developed in the book can easily be adapted to many other hyperbolic systems of partial differential equations arising in continuum mechanics.

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

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