• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Development of the approximation method based on the symmetry of systems

Research Project

Project/Area Number 26800208
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionAichi Institute of Technology

Principal Investigator

Iwasa Masatomo  愛知工業大学, 工学部, 准教授 (20444375)

Project Period (FY) 2014-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords非線形動力学 / 数理物理学 / 漸近解析 / くりこみ群 / 数理物理
Outline of Final Research Achievements

Approximation methods are required when a differential equation is difficult to be exactly solved. In this study, a new approximation method is developed for partial differential equations in terms of the symmetry of the system. This method specifically works when we analyze perturbation problems. When we try to apply conventional method of this type developed before to partial differential equations, due to the increase of the independent variables, the system often has no symmetry necessary for the derivation of approximate solutions. However, it is found in this study that, by fixing a non-perturbation solution, construct constraint equations from it and consider this constraint equations as well as the original system, we can find symmetries which can be used to derive approximate solutions of the system.

Report

(3 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • Research Products

    (5 results)

All 2015 2014

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Open Access: 1 results,  Acknowledgement Compliant: 2 results) Presentation (3 results) (of which Invited: 3 results)

  • [Journal Article] Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups2015

    • Author(s)
      M. Iwasa
    • Journal Title

      Journal of Applied Mathematics

      Volume: 2015 Pages: 1-8

    • DOI

      10.1155/2015/601657

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Extracellular and intracellular factors regulating the migration direction of a chemotactic cell in traveling-wave chemotaxis2015

    • Author(s)
      R Ishiwata and M Iwasa
    • Journal Title

      Physical Biology

      Volume: 12 Issue: 2 Pages: 026004-026004

    • DOI

      10.1088/1478-3975/12/2/026004

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 走化性振動子の集団現象について2015

    • Author(s)
      巌佐正智
    • Organizer
      第6回計算統計物理学研究会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2015-11-21
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Collective behavior in swarm oscillator model2015

    • Author(s)
      M. Iwasa
    • Organizer
      IBS Center for Soft and Living Matter Special Seminar
    • Place of Presentation
      UNIST, Korea
    • Year and Date
      2015-08-18
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Collective Behavior in Swarm Oscillator Model2014

    • Author(s)
      Masatomo Iwasa
    • Organizer
      The joint annual meeting of the japanese society for mathematical biology and the society of for mathematical biology
    • Place of Presentation
      Osaka, Japan
    • Year and Date
      2014-08-01
    • Related Report
      2014 Research-status Report
    • Invited

URL: 

Published: 2014-04-04   Modified: 2017-05-10  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi