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Waves in Flows

The 2018 Prague-Sum Workshop Lectures

  • Book
  • © 2021

Overview

Editors:
  1. Tomáš Bodnár

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

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  2. Giovanni P. Galdi

    1. Department of Mechanical 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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  • Explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods
  • Focuses on mathematical modeling and numerical simulations
  • Presents lectures given at a workshop in the summer school Waves in Flows, held in Prague in August 2018

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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About this book

This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include:

  • Chemorepulsion
  • Compressible Navier-Stokes systems
  • Newtonian fluids
  • Fluid-structure interactions

Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Semigroup Theory for the Stokes Operator with Navier Boundary Condition on Lp Spaces

    • Chérif Amrouche, Miguel Escobedo, Amrita Ghosh
    Pages 1-51

  3. Theoretical and Numerical Results for a Chemorepulsion Model with Non-constant Diffusion Coefficients

    • Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Diego Armando Rueda-Gómez
    Pages 53-90

  4. Remarks on the Energy Equality for the 3D Navier-Stokes Equations

    • Luigi Carlo Berselli, Elisabetta Chiodaroli
    Pages 91-107

  5. Existence, Uniqueness, and Asymptotic Behavior of Regular Time-Periodic Viscous Flow Around a Moving Body

    • Giovanni Paolo Galdi
    Pages 109-126

  6. Compressible Navier-Stokes System on a Moving Domain in the Lp − Lq Framework

    • Ondřej Kreml, Šárka Nečasová, Tomasz Piasecki
    Pages 127-158

  7. Some New Properties of a Suitable Weak Solution to the Navier–Stokes Equations

    • Francesca Crispo, Paolo Maremonti, Carlo Romano Grisanti
    Pages 159-179

  8. Existence, Uniqueness, and Regularity for the Second–Gradient Navier–Stokes Equations in Exterior Domains

    • Marco Degiovanni, Alfredo Marzocchi, Sara Mastaglio
    Pages 181-202

  9. A Review on Rigorous Derivation of Reduced Models for Fluid–Structure Interaction Systems

    • Mario Bukal, Boris Muha
    Pages 203-237

  10. Stability of a Steady Flow of an Incompressible Newtonian Fluid in an Exterior Domain

    • Jiří Neustupa
    Pages 239-263
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Editors and Affiliations

  • Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University, Prague, Czech Republic

    Tomáš Bodnár

  • Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, USA

    Giovanni P. Galdi

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

    Šárka Nečasová

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