Deterministic and Stochastic Fluid-Structure Interaction

This book explores the most recent developments in the field of deterministic and stochastic fluid-structure interaction (FSI), which describes the coupled dynamical interaction between fluids and deformable structures. These sorts of problems arise in many real-life applications, including modeling...

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Egile Nagusiak: Čanić, Sunčica (Egilea), Kuan, Jeffrey (Egilea), Muha, Boris (Egilea), Tawri, Krutika (Egilea)
Erakunde egilea: SpringerLink (Online service)
Formatua: Baliabide elektronikoa eBook
Hizkuntza:ingelesa
Argitaratua: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edizioa:1st ed. 2025.
Saila:Advances in Mathematical Fluid Mechanics,
Gaiak:
Sarrera elektronikoa:https://doi.org/10.1007/978-3-032-00898-5
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264 1 |a Cham :  |b Springer Nature Switzerland :  |b Imprint: Birkhäuser,  |c 2025. 
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490 1 |a Advances in Mathematical Fluid Mechanics,  |x 2297-0339 
505 0 |a Introduction and Outline -- Part I. Preliminaries -- Deterministic preliminaries -- Probabilistic preliminaries -- Part II. Deterministic fluid-structure interaction -- Deterministic FSI with linear coupling -- Deterministic FSI with nonlinear coupling -- Extensions of the splitting scheme -- Part III. Stochastic fluid-structure interaction (SFSI) -- Stochastic FSI - A reduced model -- Stochastic FSI - A fully coupled model with linear coupling -- Stochastic FSI - A fully coupled model with nonlinear coupling -- Part IV: Deterministic fluid-poroelastic structure interaction (FPSI) -- FPSI with linear coupling -- FPSI with nonlinear coupling -- Bibliography -- Index. 
520 |a This book explores the most recent developments in the field of deterministic and stochastic fluid-structure interaction (FSI), which describes the coupled dynamical interaction between fluids and deformable structures. These sorts of problems arise in many real-life applications, including modeling blood flow in the human cardiovascular system, modeling bioartificial organs, and modeling large-scale structures such as wings, bridges, and dams. This work primarily focuses on the mathematical well-posedness of fluid-structure interaction (FSI) problems. It introduces a constructive theory in which solutions are built through a time-discretization approach based on operator-splitting strategies. This method has proven to be robust in analyzing FSI problems within both deterministic and probabilistic frameworks and can serve as a foundational framework for developing numerical schemes to effectively compute solutions to these highly complex multiphysics problems. As FSI is prevalent in science, a rigorous analysis of such coupled fluid-structure systems is key for continued technological development and progress in engineering. Consequently, this book can potentially benefit a broad range of readers, from advanced undergraduate and graduate students to researchers with a background in partial differential equations and fluid dynamics. 
532 8 |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. 
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650 0 |a Mathematical physics. 
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650 2 4 |a Engineering Fluid Dynamics. 
650 2 4 |a Mathematical Modeling and Industrial Mathematics. 
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700 1 |a Tawri, Krutika.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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