Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions [[electronic resource] /] / by Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster

• Autore: Kaltenbacher Barbara
• 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
• Serie: Oberwolfach Seminars, . 1661-237X ; ; 48