Tani, Atsushi

写真a

Affiliation

Faculty of Science and Technology （Mita）

Position

Professor Emeritus
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Career 【 Display / hide 】

  • 1977.04
    -
    1980.03

    慶應義塾大学（工学部数理工学科）, 助手

  • 1980.04
    -
    1981.03

    慶應義塾大学（工学部数理工学科）, 専任講師

  • 1981.04
    -
    1984.03

    慶應義塾大学（理工学部数理科学科）, 専任講師

  • 1982.04
    -
    1984.03

    兼慶應義塾大学理工学部（数理科学科）, 教室幹事

  • 1984.04
    -
    1996.03

    慶應義塾大学（理工学部数理科学科）, 助教授

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Academic Background 【 Display / hide 】

  • 1971.03

    Tokyo Institute of Technology, Faculty of Science, 応用物理学科

    University, Graduated

  • 1973.03

    Tokyo Institute of Technology, Graduate School, Division of Science and Engineeri, 応用物理学専攻

    Graduate School, Completed, Master's course

  • 1976.09

    Tokyo Institute of Technology, Graduate School, Division of Science and Engineeri, 応用物理学専攻

    Graduate School, Completed, Doctoral course

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Academic Degrees 【 Display / hide 】

  • 理学　, Tokyo Institute of Technology, 1976.09

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Research Areas 【 Display / hide 】

  • Natural Science / Basic analysis (Basic Analysis)

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Papers 【 Display / hide 】

  • The interface crack with Coulomb friction between two bounded dissimilar elastic media

    H. Itou, V. A. Kovtunenko and TANI ATUSI

    Appl. Math. 56   69-97 2011

    Research paper (scientific journal), Joint Work, Accepted

  • Small-time existence of a strong solution of primitive equations for atomosphere

    H. Honda and TANI ATUSI

    Adv. Math. Sci. Appl. 20 （ 2 ） 547-583 2010

    Research paper (scientific journal), Joint Work, Accepted

  • An adaptive gradient smoothing method (GSM) for fluid dynamics problems

    X.-X. Guo, G.-R. Liu & TANI ATUSI

    Intern. J. Numer. Meth. Fluids 62   499-529 2010

    Research paper (scientific journal), Joint Work, Accepted

  • Maximal attractor and inertial sets for Eguchi-Oki-Matsumura equation

    M. Kurokiba, N. Tanaka & TANI ATUSI

    J. Math. Anal. Appl. 365   638-645 2010

    Research paper (scientific journal), Joint Work, Accepted

  • On some boundary value problem for the Stokes equations with a parameter in an infinite sector

    S. Itoh, N. Tanaka and TANI ATUSI

    In the special volume of the series Advances in Mathematical Fluid Mechanics dedicated to the memory of Professor Alexander Kazhikhov （Birkhauser)     223-236 2010

    Research paper (conference, symposium, etc.), Joint Work, Accepted

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Papers, etc., Registered in KOARA 【 Display / hide 】

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Presentations 【 Display / hide 】

  • On the flow of a fluid with pressure dependent viscosity in the rheometer subjected to Navier's slip boundary conditions

    TANI ATUSI

    Perambulation of Continuum Mechanics, A Meeting in Celebration of the Sixtieth Birthday of K. R. Rajagopal (Texas A&M University, USA) , 

    2010.11
    , 

    Oral presentation (invited, special)

  • The Stokes equations in a domain with piecewise smooth boundary

    TANI ATUSI

    International Conference on ``Differential equations, Function spaces, Approximation theory" dedicated to 100th anniversary of the birthday of Sergei L. Sobolev (Novosibirsk, Russia) , 

    2008
    , 

    Oral presentation (invited, special)

  • Temporally Global Solution to the Equations for a Spherically Symmetric Viscous Radiative and Reactive Gas over the Rigid Core

    TANI ATUSI

    International Conference on ``Modern problems of Mathematical Modelling and Computational Technologies-2008'' (Krasnoyarsk, Russia) , 

    2008
    , 

    Oral presentation (invited, special)

  • Initial-boundary value problem for the motion of incompressible inhomogeneous fluid-like bodies

    TANI ATUSI

    ``Parabolic and Navier-Stokes Equations 2008 in honour of V. A. Solonnikov'' (Bedlewo, Poland) , 

    2008
    , 

    Oral presentation (invited, special)

  • Initial boundary value problem for the resistive drift wave turbulence

    TANI ATUSI

    International Conference on ``Inverse and Ill-posed problems of Mathematical Physics" dedicated to Professor M. M. Lavrent'ev on occasion of his 75-th birthday (Novosibirsk, Russia) , 

    2007
    , 

    Oral presentation (invited, special)

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Research Projects of Competitive Funds, etc. 【 Display / hide 】

  • Mathematical Analysis of Free Boundary Problems in EMHD and Related Topics

    2014.04
    -
    2017.03

    MEXT,JSPS, Grant-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Principal investigator

    　View Summary

    Well-posedness of various nonlinear and free boundary problems in EMHD and its related fields was established mathematically. Some of the research results are as follows.
    (1) Free boundary problem for two-phase classical MHD for viscous and compressible fluids has been studied and proved to admit a unique local-in-time classical solution. (2) In the phenomenon of gas discharge the model system of PDEs due to Degon, Lucquin, Desreux and Morrow are investigated mathematically and established its unique solvability locally in time. (3) The fingering pattern of radially growing interface in a Hele-Shaw cell was shown in the framework of Hoelder spaces under surface tension effect on the interface between the displacing and displaced fluids taken into account through the parabolic regularization method. (4) Free boundary problem for two-phase, atmosphere and ocean, primitive equations has discussed and shown the existence of a unique strong solution locally in time.

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Social Activities 【 Display / hide 】

  • Mechanics of Multi-Component Materials: An International Journal

    2008
    -
    Present

  • Advances and Applications in Mathematical Sciences (AIMS)

    2008
    -
    Present

  • Tokyo Journal of Mathematics

    2005
    -
    2007

  • International Journal of Pure and Applied Mathematics

    2002
    -
    Present

  • Tokyo Journal of Mathematics

    2000
    -
    2002

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Committee Experiences 【 Display / hide 】

  • 2008
    -
    Present

    Editor, Mechanics of Multi-Component Materials: An International Journal

  • 2008
    -
    Present

    Editor, Advances and Applications in Mathematical Sciences (AIMS)

  • 2005
    -
    2007

    Editor, Tokyo Journal of Mathematics

  • 2002
    -
    Present

    Editor, International Journal of Pure and Applied Mathematics

  • 2000
    -
    2002

    Editor, Tokyo Journal of Mathematics

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