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＜電子ブック＞
Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions / by Barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggiani, Amjad Tuffaha, Justin T. Webster
(Oberwolfach Seminars. ISSN:22965041 ; 48)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2018
大きさ	XIII, 309 p : online resource
著者標目	*Kaltenbacher, Barbara author Kukavica, Igor author Lasiecka, Irena author Triggiani, Roberto author Tuffaha, Amjad author Webster, Justin T author SpringerLink (Online service)
件　名	LCSH:Differential equations FREE:Differential Equations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-92783-1

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