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Fluids Under Pressure

  • Book
  • © 2020

Overview

Editors:
  1. Tomáš Bodnár

    1. Department of Technical Mathematics, Czech Technical University, Prague, Czech Republic

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    You can also search for this editor in PubMed   Google Scholar

  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. Academy of Sciences of the Czech Republic, Prague, Czech Republic

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  • Includes chapters based on talks given at the August 2016 summer school “Fluids Under Pressure,” held in Prague
  • Explores the complex role that pressure plays in physics, mathematical modeling, and fluid flow analysis
  • Addresses theoretical problems concerning the well-posedness of the Navier-Stokes equations

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. An Approach to the Primitive Equations for Oceanic and Atmospheric Dynamics by Evolution Equations

    • Matthias Hieber, Amru Hussein
    Pages 1-109

  3. Viscous Compressible Flows Under Pressure

    • Didier Bresch, Pierre-Emmanuel Jabin
    Pages 111-156

  4. Global Well-Posedness for Incompressible–Incompressible Two-Phase Problem

    • Yoshihiro Shibata, Hirokazu Saito
    Pages 157-347

  5. The Role of Pressure in the Theory of Weak Solutions to the Navier-Stokes Equations

    • Jiří Neustupa
    Pages 349-416

  6. Flows of Fluids with Pressure Dependent Material Coefficients

    • Miroslav Bulíček
    Pages 417-481

  7. Finite Element Pressure Stabilizations for Incompressible Flow Problems

    • Volker John, Petr Knobloch, Ulrich Wilbrandt
    Pages 483-573

  8. Finite-Volume Methods for Navier-Stokes Equations

    • Milovan Perić
    Pages 575-638
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Keywords

About this book

This contributed volume is based on talks given at the August 2016 summer school “Fluids Under Pressure,” held in Prague as part of the “Prague-Sum” series. Written by experts in their respective fields, chapters explore the complex role that pressure plays in physics, mathematical modeling, and fluid flow analysis. Specific topics covered include:
  • Oceanic and atmospheric dynamics
  • Incompressible flows
  • Viscous compressible flows
  • Well-posedness of the Navier-Stokes equations
  • Weak solutions to the Navier-Stokes equations

Fluids Under Pressure will be a valuable resource for graduate students and researchers studying fluid flow dynamics. 

Editors and Affiliations

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

    Tomáš Bodnár

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

    Giovanni P. Galdi

  • Academy of Sciences of the Czech Republic, Prague, Czech Republic

    Šárka Nečasová

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