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Mathematics for Nonlinear Phenomena — Analysis and Computation

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

  • Conference proceedings
  • © 2017

Overview

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 215)

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Table of contents (14 papers)

Keywords

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 inmathematical analysis and computation will find interest in this volume on theoretical study for nonlinear phenomena.

 

 

Editors and Affiliations

  • Mathematical Institute, Tohoku University, Sendai, Japan

    Yasunori Maekawa

  • Department of Mathematics, Hokkaido University, Sapporo, Japan

    Shuichi Jimbo

About the editors

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.

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

  • DOI: https://doi.org/10.1007/978-3-319-66764-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Hardcover ISBN: 978-3-319-66762-1Published: 02 November 2017

  • Softcover ISBN: 978-3-319-88316-8Published: 25 August 2018

  • eBook ISBN: 978-3-319-66764-5Published: 01 November 2017

  • Series ISSN: 2194-1009

  • Series E-ISSN: 2194-1017

  • Edition Number: 1

  • Number of Pages: XL, 303

  • Number of Illustrations: 17 b/w illustrations, 19 illustrations in colour

  • Topics: Analysis

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