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Mathematical theory of evolutionary ...

Kaltenbacher, Barbara.

Mathematical theory of evolutionary fluid-flow structure interactions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical theory of evolutionary fluid-flow structure interactionsby Barbara Kaltenbacher ... [et al.].
other author:	Kaltenbacher, Barbara.
Published:	Cham :Springer International Publishing :2018.
Description:	xiii, 307 p. :digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fluid-structure interactionMathematics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-92783-1
ISBN:	9783319927831$q(electronic bk.)

Mathematical theory of evolutionary fluid-flow structure interactions
Mathematical theory of evolutionary fluid-flow structure interactions[electronic resource] /by Barbara Kaltenbacher ... [et al.]. - Cham :Springer International Publishing :2018. - xiii, 307 p. :digital ;24 cm. - Oberwolfach seminars,v.481661-237X ;. - Oberwolfach seminars ;44..

An introduction to a fluid-structure model -- Linear parabolic-hyperbolic fluid-structure interaction models -- Flow-plate interactions: well-posedness and long-time behavior -- Some aspects in nonlinear acoustics coupling and shape optimization.

This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.

ISBN: 9783319927831$q(electronic bk.)

Standard No.: 10.1007/978-3-319-92783-1doiSubjects--Topical Terms:

819218
Fluid-structure interaction
--Mathematics.

LC Class. No.: TA357.5.F58

Dewey Class. No.: 620.1064

Mathematical theory of evolutionary fluid-flow structure interactions
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245 0 0 $a Mathematical theory of evolutionary fluid-flow structure interactions $h [electronic resource] / $c by Barbara Kaltenbacher ... [et al.].
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300 $a xiii, 307 p. : $b digital ; $c 24 cm.
490 1 $a Oberwolfach seminars, $x 1661-237X ; $v v.48
505 0 $a An introduction to a fluid-structure model -- Linear parabolic-hyperbolic fluid-structure interaction models -- Flow-plate interactions: well-posedness and long-time behavior -- Some aspects in nonlinear acoustics coupling and shape optimization.
520 $a This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.
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700 1 $a Kaltenbacher, Barbara. $3 819217
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950 $a Mathematics and Statistics (Springer-11649)