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Autore: | Kaltenbacher Barbara |
Titolo: | Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions / / by Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster |
Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
Edizione: | 1st ed. 2018. |
Descrizione fisica: | 1 online resource (XIII, 307 p.) |
Disciplina: | 620.1064 |
Soggetto topico: | Partial differential equations |
Partial Differential Equations | |
Persona (resp. second.): | KukavicaIgor |
LasieckaIrena | |
TriggianiRoberto | |
TuffahaAmjad | |
WebsterJustin T | |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 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. |
Sommario/riassunto: | 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. |
Titolo autorizzato: | Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions |
ISBN: | 3-319-92783-3 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910300117503321 |
Lo trovi qui: | Univ. Federico II |
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