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Mathematical Fluid Dynamics, Present and Future

Tokyo, Japan, November 2014

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Yoshihiro Shibata

    1. Department of Mathematics, Waseda University, Tokyo, Japan

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  2. Yukihito Suzuki

    1. Department of Mathematics, Waseda University, Tokyo, Japan

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    You can also search for this editor in PubMed   Google Scholar

  • Focuses on diverse developments in mathematical fluid dynamics and related areas
  • Includes peer-reviewed research papers by internationally respected experts
  • Develops novel theories and methods in mathematical, experimental and computational fluid dynamics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 183)

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Table of contents (22 papers)

  1. Front Matter

    Pages i-xix
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  2. Multiphase Flows

    1. Front Matter

      Pages 1-1
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    2. Nonconvergence of the Capillary Stress Functional for Solutions of the Convective Cahn-Hilliard Equation

      • Helmut Abels, Stefan Schaubeck
      Pages 3-23

    3. On the Interface Formation Model for Dynamic Triple Lines

      • Dieter Bothe, Jan Prüss
      Pages 25-47

    4. Global Solvability of the Problem on Two-Phase Capillary Fluid Motion in the Oberbeck–Boussinesq Approximation

      • Irina Vlad. Denisova
      Pages 49-70

    5. Stability of Steady Flow Past a Rotating Body

      • Giovanni Paolo Galdi, Jiří Neustupa
      Pages 71-94

    6. Asymptotic Structure of Steady Stokes Flow Around a Rotating Obstacle in Two Dimensions

      • Toshiaki Hishida
      Pages 95-137

    7. Toward Understanding Global Flow Structure

      • Makoto Iima, Takayuki Yamaguchi, Takeshi Watanabe, Akane Kawaharada, Yuji Tasaka, Erika Shoji
      Pages 139-158

    8. Mathematical and Numerical Analysis of the Rayleigh-Plesset and the Keller Equations

      • Masashi Ohnawa, Yukihito Suzuki
      Pages 159-180

    9. On the Amplitude Equation of Approximate Surface Waves on the Plasma-Vacuum Interface

      • Paolo Secchi
      Pages 181-201

    10. On the \({\mathscr {R}}\)-Bounded Solution Operator and the Maximal \(L_p\)-\(L_q\) Regularity of the Stokes Equations With Free Boundary Condition

      • Yoshihiro Shibata
      Pages 203-285

    11. On the Solvability of Free Boundary Problem for Viscous Compressible Fluids in an Infinite Time Interval

      • Vsevolod Alekseevich Solonnikov
      Pages 287-315

    12. Classical Solvability of the Two-Phase Radial Viscous Fingering Problem in a Hele-Shaw Cell

      • Atusi Tani, Hisasi Tani
      Pages 317-348

    13. Investigation of Bubble Clouds in a Cavitating Jet

      • Katsuhiro Yamamoto
      Pages 349-373

  3. Other Related Topics

    1. Front Matter

      Pages 375-375
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    2. Weak Solutions to Problems Involving Inviscid Fluids

      • Eduard Feireisl
      Pages 377-399

    3. Enstrophy Variations in the Incompressible 2D Euler Flows and \(\alpha \) Point Vortex System

      • Takeshi Gotoda, Takashi Sakajo
      Pages 401-431

    4. Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows

      • Matthias Hieber, Jan Prüss
      Pages 433-459

    5. Statistical Mechanics of Quasi-geostrophic Vortices

      • Takeshi Miyazaki, Yuichi Shimoda, Keisei Saga
      Pages 461-486

    6. Heat Convection of Compressible Viscous Fluids. III

      • Takaaki Nishida, Mariarosaria Padula, Yoshiaki Teramoto
      Pages 487-495
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Keywords

About this book

This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11–14 November 2014 at Waseda University in Tokyo. The contributions address subjects in one- and two-phase fluid flows, including cavitation, liquid crystal flows, plasma flows, and blood flows. Written by internationally respected experts, these papers highlight the connections between mathematical, experimental, and computational fluid dynamics. The book is aimed at a wide readership in mathematics and engineering, including researchers and graduate students interested in mathematical fluid dynamics.

Editors and Affiliations

  • Department of Mathematics, Waseda University, Tokyo, Japan

    Yoshihiro Shibata, Yukihito Suzuki

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