Fluid-structure interaction and biomedical applications
By: Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová, editors
Series: Advances in mathematical fluid mechanics; Advances in mathematical fluid mechanics
Publisher: Birkhäuser
Published: 2014
Place of publication: Basel; New York
Language: eng
Number of pages: 569
ISBN-13: 9783034808217; 9783034808224
Copyright date: 2014
Subjects: Hydrodynamics; Biomathematics; Biomedical Engineering; Biological Models; Body Fluids; Physiology; Fluid-structure interaction
Description: This book presents, in a methodical way, updated and comprehensive descriptions and analyses of some of the most relevant problems in the context of fluid-structure interaction (FSI). Generally speaking, FSI is among the most popular and intriguing problems in applied sciences and includes industrial as well as biological applications. Various fundamental aspects of FSI are addressed from different perspectives, with a focus on biomedical applications. More specifically, the book presents a mathematical analysis of basic questions like the well-posedness of the relevant initial and boundary value problems, as well as the modeling and the numerical simulation of a number of fundamental phenomena related to human biology. These latter research topics include blood flow in arteries and veins, blood coagulation and speech modeling. We believe that the variety of the topics discussed, along with the different approaches used to address and solve the corresponding problems, will help readers to develop a more holistic view of the latest findings on the subject, and of the relevant open questions. For the same reason we expect the book to become a trusted companion for researchers from diverse disciplines, such as mathematics, physics, mathematical biology, bioengineering and medicine. --
Notes: Includes bibliographical references.
Table of contents: title: Preface; title: 1 Mathematical and Numerical Analysis of some FSI Problems by C. Grandmont, M. Lukáčová-Medvid?ová, Š. Nečasová; title: 2 Fluid-Structure Interaction in Hemodynamics by S. Čanić, B. Muha, M. Bukač; title: Hyperbolic-Parabolic Coupling and the Occurence of Resonance in Partially Dissipative Systems by G.P. Galdi, M. Mohebbi, R. Zakerzadeh, P. Zunino; title: 4 Topics in the Mathematical Theory of Interactions of Incompressible Viscous Fluid with Rigid Bodies by M. Hillairet; title: 5 Numerical Simulation of Fluid-Structure Interaction Problems with Applications of Flow in Vocal Folds by M. Feistauer, P. Sváček, J. Horáček; title: 6 Data Assimilation in Cardiovascular Fluid-Structure Interaction Problems: an Introduction by L. Bertagna, M. D?Elia, M. Perego, A. Veneziani; title: 7 Mathematical Models for Blood Coagulation by A. Fasano, A. Sequeira, T. Bodnár.