Fluid-Structure Interaction and Biomedical Applications

1. Front Matter

   Pages i-xiv

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2. Mathematical and Numerical Analysis of Some FSI Problems

   • Céline Grandmont, Mária Lukáčová-Medvid’ová, Šárka Nečasová

   Pages 1-77

3. Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation

   • Sunčica Čanić, Boris Muha, Martina Bukač

   Pages 79-195

4. Hyperbolic–Parabolic Coupling and the Occurrence of Resonance in Partially Dissipative Systems

   • Giovanni Paolo Galdi, Mahdi Mohebbi, Rana Zakerzadeh, Paolo Zunino

   Pages 197-256

5. Topics in the Mathematical Theory of Interactions of Incompressible Viscous Fluid with Rigid Bodies

   • Matthieu Hillairet

   Pages 257-320

6. Numerical Simulation of Fluid–Structure Interaction Problems with Applications to Flow in Vocal Folds

   • Miloslav Feistauer, Petr Sváček, Jaromír Horáček

   Pages 321-393

7. Data Assimilation in Cardiovascular Fluid–Structure Interaction Problems: An Introduction

   • Luca Bertagna, Marta D’Elia, Mauro Perego, Alessandro Veneziani

   Pages 395-481

8. Mathematical Models for Blood Coagulation

   • Tomáš Bodnár, Antonio Fasano, Adélia Sequeira

   Pages 483-569

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.

• assimilation
• blood coagulation
• flow-induced vibration
• fluid-solid interactions
• hemodynamics
• viscous fluids flows
• partial differential equations

• Department of Technical Mathematics, Czech Technical University in Prague, Prague, Czech Republic

  Tomáš Bodnár

• Swanson School of Engineering, University of Pittsburgh, Pittsburgh, USA

  Giovanni P. Galdi

• Institute of Mathematics, Academy of Sciences of the Czech Republic, Prague 1, Czech Republic

  Šárka Nečasová

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