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Deterministic and stochastic fluid-s...

Čanić, Sunčica.

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Deterministic and stochastic fluid-structure interaction

Record Type:	Electronic resources : Monograph/item
Title/Author:	Deterministic and stochastic fluid-structure interaction/ by Sunčica Čanić ... [et al.].
other author:	Čanić, Sunčica.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xvii, 613 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Fluid dynamics - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-032-00898-5
ISBN:	9783032008985

Deterministic and stochastic fluid-structure interaction
Deterministic and stochastic fluid-structure interaction[electronic resource] /by Sunčica Čanić ... [et al.]. - Cham :Springer Nature Switzerland :2025. - xvii, 613 p. :ill. (some col.), digital ;24 cm. - Advances in mathematical fluid mechanics,2297-0339. - Advances in mathematical fluid mechanics..

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.

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.

ISBN: 9783032008985

Standard No.: 10.1007/978-3-032-00898-5doiSubjects--Topical Terms:

561040
Fluid dynamics
--Mathematical models.

LC Class. No.: QA911 / .C36 2025

Dewey Class. No.: 532.05015118

Deterministic and stochastic fluid-structure interaction
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245 0 0 $a Deterministic and stochastic fluid-structure interaction $h [electronic resource] / $c by Sunčica Čanić ... [et al.].
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xvii, 613 p. : $b ill. (some col.), digital ; $c 24 cm.
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.
650 0 $a Fluid dynamics $x Mathematical models. $3 561040
650 1 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Engineering Fluid Dynamics. $3 891349
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 891089
700 1 $a Čanić, Sunčica. $3 3804996
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830 0 $a Advances in mathematical fluid mechanics. $3 2057138
856 4 0 $u https://doi.org/10.1007/978-3-032-00898-5
950 $a Mathematics and Statistics (SpringerNature-11649)