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Springer Proceedings in Mathematics & Statistics

Mathematics for Nonlinear Phenomena — Analysis and Computation

In Honor of Yoshikazu Giga's 60th Birthday, Sapporo, Japan, August 2015

Editors: Maekawa, Yasunori, Jimbo, Shuichi (Eds.)

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  • Showcases a strong selection of papers and recent research presented at the 2015 conferences
  • Illustrates recent developments in analysis and computation
  • Perfect for graduate students and researchers interested in nonlinear phenomena
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About this book

This volume covers some of the most seminal research in the areas of mathematical analysis and numerical computation for nonlinear phenomena. Collected from the international conference held in honor of Professor Yoshikazu Giga’s 60th birthday, the featured research papers and survey articles discuss partial differential equations related to fluid mechanics, electromagnetism, surface diffusion, and evolving interfaces. Specific focus is placed on topics such as the solvability of the Navier-Stokes equations and the regularity, stability, and symmetry of their solutions, analysis of a living fluid, stochastic effects and numerics for Maxwell’s equations, nonlinear heat equations in critical spaces, viscosity solutions describing various kinds of interfaces, numerics for evolving interfaces, and a hyperbolic obstacle problem. Also included in this volume are an introduction of Yoshikazu Giga’s extensive academic career and a long list of his published work. Students and researchers in mathematical analysis and computation will find interest in this volume on theoretical study for nonlinear phenomena.

 
 

About the authors

Shuichi Jimbo is a Professor of Applied Mathematics in the Department of Mathematics of Hokkaido University. The main subjects of his research are spectral analysis, domain deformation, singular perturbation, and the Ginzburg-Landau equation. 
Yasunori Maekawa is an Associate Professor of the Mathematical Institute of Tohoku University. His research is focused on partial differential equations and their relation to fluid dynamics, such as the Navier-Stokes equations and the vorticity equations, and particularly in various coherent structures appearing in high Reynolds number flows. His most recent research is on the formation of fine vortex tubes in turbulent flows and the production/dissipation of vorticity fields around the boundary of fluid domains.

Table of contents (14 chapters)

Table of contents (14 chapters)
  • An Implicit Boundary Integral Method for Interfaces Evolving by Mullins-Sekerka Dynamics

    Pages 1-21

    Chen, Chieh (et al.)

  • Geometric Interfacial Motion: Coupling Surface Diffusion and Mean Curvature Motion

    Pages 23-46

    Derkach, V. (et al.)

  • A Note on Regularity Criteria for Navier-Stokes System

    Pages 47-50

    Fan, Jishan (et al.)

  • On Periodic and Almost Periodic Solutions to Incompressible Viscous Fluid Flow Problems on the Whole Line

    Pages 51-81

    Hieber, Matthias (et al.)

  • Remarks on Viscosity Solutions for Mean Curvature Flow with Obstacles

    Pages 83-103

    Ishii, K. (et al.)

Buy this book

eBook $149.00
price for Mexico
  • ISBN 978-3-319-66764-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for Mexico
  • ISBN 978-3-319-66762-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
Softcover $199.99
price for Mexico
  • ISBN 978-3-319-88316-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics for Nonlinear Phenomena — Analysis and Computation
Book Subtitle
In Honor of Yoshikazu Giga's 60th Birthday, Sapporo, Japan, August 2015
Editors
  • Yasunori Maekawa
  • Shuichi Jimbo
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
215
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-66764-5
DOI
10.1007/978-3-319-66764-5
Hardcover ISBN
978-3-319-66762-1
Softcover ISBN
978-3-319-88316-8
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XL, 303
Number of Illustrations
17 b/w illustrations, 19 illustrations in colour
Topics

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