Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

• Κύριοι συγγραφείς: Kaltenbacher, Barbara (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Kukavica, Igor (http://id.loc.gov/vocabulary/relators/aut), Lasiecka, Irena (http://id.loc.gov/vocabulary/relators/aut), Triggiani, Roberto (http://id.loc.gov/vocabulary/relators/aut), Tuffaha, Amjad (http://id.loc.gov/vocabulary/relators/aut), Webster, Justin T. (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Oberwolfach Seminars, 48
• Θέματα: Partial differential equations.; Partial Differential Equations.

 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. 

 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.