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Fluids Under Control

The 2021 Prague-Sum Workshop Lectures

  • Book
  • © 2023

Overview

Editors:
  1. Tomáš Bodnár

    1. Faculty of Mechanical Engineering, Czech Technical University in Prague, Prague, Czech Republic

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    You can also search for this editor in PubMed   Google Scholar

  2. Giovanni P. Galdi

    1. Swanson School of Engineering, University of Pittsburgh, Pittsburgh, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Šárka Nečasová

    1. Institute of Mathematics, Czech Academy of Sciences, Prague, Czech Republic

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    You can also search for this editor in PubMed   Google Scholar

  • Presents state-of-the-art developments in theoretical and applied fluid mechanics
  • Provides readers with a thorough analysis of numerous research topics
  • Collects papers based on lectures given at a workshop in the 2021 summer school Fluids under Control

Part of the book series: Advances in Mathematical Fluid Mechanics (AMFM)

Part of the book sub series: Lecture Notes in Mathematical Fluid Mechanics (LNMFM)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Existence and Regularity of Solutions for the Magnetohydrodynamic Flow with Navier-Type Boundary Conditions in 2-D

    • Chérif Amrouche, Elsy Wehbe
    Pages 1-41

  3. Well-Posedness and Optimal Control for 2-D Stochastic Second-Grade Fluids

    • Nikolai V. Chemetov, Fernanda Cipriano
    Pages 43-62

  4. Hopf Bifurcation for Navier–Stokes Flow Past a Rotating Obstacle

    • Giovanni P. Galdi
    Pages 63-109

  5. Global Stabilization of a Rigid Body Moving in a Compressible Viscous Fluid

    • Debayan Maity, Arnab Roy, Takéo Takahashi
    Pages 111-139

  6. Asymptotic Behavior of the Navier–Stokes Type Problem

    • Stanislav Kračmar, Šárka Nečasová
    Pages 141-170

  7. On Some Recent Results from the Theory of MHD Equations

    • Jiří Neustupa, Minsuk Yang
    Pages 171-197

  8. Reduction of a 3D Mathematical Model of Flow Through an Axial Turbine to Two Spatial Dimensions and Restriction to One Period of the Infinite Periodical Domain

    • Tomáš Neustupa
    Pages 199-215

  9. Steady Compressible Navier–Stokes–Fourier System with Slip Boundary Condition for the Velocity and Dirichlet Boundary Condition for the Temperature

    • Tomasz Piasecki, Milan Pokorný
    Pages 217-239

  10. Classical Solution for the Compressible Flow with Free Surface in Three-Dimensional Exterior Domain

    • Yoshihiro Shibata, Xin Zhang
    Pages 241-293

  11. On Asymptotic Stability of Boussinesq Equations Without Heat Conduction

    • Lihua Dong, Yongzhong Sun, Fangming Zhu
    Pages 295-322

  12. Numerical Simulation of Fluid-Structure-Acoustic Interactions Models of Human Phonation Process

    • Petr Sváček, Jan Valášek
    Pages 323-359
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Keywords

About this book

This volume presents state-of-the-art developments in theoretical and applied fluid mechanics. Chapters are based on lectures given at a workshop in the summer school Fluids under Control, held in Prague on August 25, 2021. Readers will find a thorough analysis of current research topics, presented by leading experts in their respective fields. Specific topics covered include:

  • Magnetohydrodynamic systems
  • The steady Navier-Stokes-Fourier system
  • Boussinesq equations
  • Fluid-structure-acoustic interactions

Fluids under Control will be a valuable resource for students interested in mathematical fluid mechanics.


Editors and Affiliations

  • Faculty of Mechanical Engineering, 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, Czech Academy of Sciences, Prague, Czech Republic

    Šárka Nečasová

About the editors

​Tomáš Bodnár is Associate Professor in the Department of Technical Mathematics Faculty of Mechanical Engineering at the Czech Technical University in Prague, as well as a researcher at the Institute of Mathematics, Czech Academy of Sciences. Research interests include numerical analysis, computational fluid mechanics, environmental and biological flows.

Giovanni P. Galdi is Distinguished Professor in the Department of Mechanical Engineering and Materials Science of the Swanson School of Engineering at the University of Pittsburgh. His research interests are based around the mathematical fluid mechanics including the problems of flow stability and fluid-structure interaction problems.


Šárka Nečasová is head of the Department of Evolution Differential Equations at the Institute of Mathematics of the Czech Academy of Sciences. Her work and research interests cover qualitative aspects of theory of partial differential equations in mechanics and thermodynamics of continuum, in biology and in other sciences.

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