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: 20499 HUF
Availability: InStock

Szerző: Igor Chudinovich

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer London Ltd

Elérhetőség: Beszállítói készleten alacsony példányszámban

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

Információk a könyvről

Szerző

Igor Chudinovich

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2010

oldal

148

EAN

9781849969468

ISBN

1849969469

Enbook ID

01434829

Kiadó

Springer London Ltd

Súly

254

Méretek

155 x 235 x 235

Teljes leírás

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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