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TANAKA Naoto  田中 尚人

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田中 尚人  タナカ ナオト

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Researcher Number 00247222
Other IDs
Affiliation (Current) 2025: 福岡大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2016: 福岡大学, 理学部, 教授
2014: 福岡大学, 理学部, 教授
2010 – 2012: 福岡大学, 理学部, 教授
2008: 福岡大学, 理学部, 准教授
2006: 福岡大学, 理学部, 助教授 … More
1997 – 2003: 福岡大学, 理学部, 助教授
1994 – 1996: 福岡大学, 理学部, 講師
1993: 早稲田大学, 理工学部, 助手 Less
Review Section/Research Field
Principal Investigator
解析学 / Basic analysis / Global analysis / Global analysis
Except Principal Investigator
解析学 / Basic analysis / Mathematical analysis / Global analysis / Basic analysis
Keywords
Principal Investigator
Navier-Stokes方程式 / subdifferential / viscosity solution / 劣微分 / 粘性解 / Poisson方程式 / 熱方程式 / 非定常流 / Stokes方程式 / Navier-stokes方程式 … More / ヘルダー評価 / Fourier-Bessele展開 / 角の近くでの特異性 / 扇形領域 / 解の特異性 / 角がある領域 / Stokes 方程式 / Navier-Stokes 方程式 / 圧縮性流体 / 方程式の接合 / Euler方程式 / 境界層方程式 / Evler方程式 / 表面張力 / 水の波 / 自由表面問題 / 圧縮性粘性流体 … More
Except Principal Investigator
非線形微分方程式 / 国際研究者交流 / 定性的理論 / drift wave turbulence / primitive equations / Hasegawa-Wakatani 方程式 / water wave / primitive equation / Hele-Shaw flow / free boundary problem / Navier-Stokes equations / 特異解 / 零点分布 / 振動、非振動 / 解の漸近挙動 / 関数微分方程式 / 偏微分方程式 / ポルトガル, イタリア / Penrose-Fife equation / MHD / gas discharge / film approximation / EMHD / Hele-Shaw problem / locally convex *-algebras / quantum groups / unbounded Tomita-Takesaki theory / standard weights / weights / partial O^*-algebras / O^*-algebras / PartialO^*- / O^*-台数 / 非有界C^*-セミノルム / well-behaved*-表現 / 局所凸*-代数 / 量子群 / 非有界冨田-竹崎理論 / 標準ウエイト / ウエイト / partial O^*-代数 / O^*-代数 / singular solution / zero / oscillatory / nonlinear Sturm-Liouville operator / nonlinear differential equation / oscillation theory / 定量解析 / 振動解.非振動解 / 振動解、非振動解 / 非線形Sturm-Liouville作用素 / 振動理論 / 非定常流 / ナビエ・ストークス方程式 / 流体数学 / エネルギー減衰 / 角がある領域 / ストークス方程式 / ナヴィエ・ストークス方程式 / simple wave in Rheometer / tsunami generation / Coulomb friction / Interface crack / Navier's slip condition / Maxwell medium / イタリア / asymptotic behavior / rigid line inclusion / long wave approximations / shallow water / wetting layer / アメリカ, 台湾, ロシア / vortex filament / Stepanov-almost-periodic / elastic body / Navier’s slip condition / Maxwell fluid / 非ニュートン流体流 / nonlinear parabolic system / shape derivative / sector / Navier Stokes equations / inhomogeneous fluid-like body / overlapping domain problem / piecewise smooth boundary / radiative and reactive gas / self-gravitation / global solution / ロシア:アメリカ:ポーランド / stability / sector domain / Navier slip condition / domain with piecewise continuous boundary / crack problem / slip boundary conditions / water waves / Stokes equations / 消滅特異解 / ホワイトホール解 / ブラックホール解 / 漸近行動 / 準線形微分方程式 / 常微分方程式 / 解の振動性 Less
  • Research Projects

    (15 results)
  • Research Products

    (9 results)
  • Co-Researchers

    (30 People)
  •  Mathematical Analysis of Free Boundary Problems in EMHD and Related Topics

    • Principal Investigator
      Tani Atusi
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Keio University
  •  Mathematical analysis to nonstationary Navier-Stokes equations in a domain with piecewise smooth boundaries

    • Principal Investigator
      ITOH SHIGEHARU
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hirosaki University
  •  Mathematical analysis of the non-Newtonian fluids flow

    • Principal Investigator
      TANI Atusi
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Keio University
  •  Mathematical analysis to non-stationary Navier-Stokes equations in the domain with a corner.Principal Investigator

    • Principal Investigator
      TANAKA Naoto
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Fukuoka University
  •  Mathematical Analysis of various nonlinear problems for phenomena in continua

    • Principal Investigator
      TANI Atusi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Keio University
  •  非線形微分方程式の特異解の統一的研究

    • Principal Investigator
      草野 尚
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Fukuoka University
  •  Study of viscosity solutions for partial differential equations with subdifferentialPrincipal Investigator

    • Principal Investigator
      TANAKA Naoto, 山田 直記
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Fukuoka University
  •  Unbounded operator algebras and the applications to the quantum physics

    • Principal Investigator
      INOUE Atsushi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      FUKUOKA UNIVERSITY
  •  境界層方程式の数学的正当化に関する研究Principal Investigator

    • Principal Investigator
      田中 尚人
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Global analysis
    • Research Institution
      Fukuoka University
  •  Qualitative and Quantitative Analysis of Nonlinear Oscillation of Differential Equations

    • Principal Investigator
      KUSANO Takashi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Fukuoka University
  •  非線形関数方程式の定性的解析と定量的解析の研究

    • Principal Investigator
      草野 尚
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Fukuoka University
  •  非線形微分方程式の数理解析

    • Principal Investigator
      草野 尚
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Fukuoka University
  •  水の波の数学解析Principal Investigator

    • Principal Investigator
      田中 尚人
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Fukuoka University
  •  非線形微分方程式の解とその漸近挙動

    • Principal Investigator
      蛯原 幸義
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Fukuoka University
  •  圧縮性粘性流体に対する自由表面問題の解の構造に関する研究Principal Investigator

    • Principal Investigator
      田中 尚人
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      解析学
    • Research Institution
      Waseda University

All 2010 2009 2007 2006

All Journal Article

  • [Journal Article] On some boundary value problem for the Stokes equations with a parameter in an infinite sector. New directions in mathematical fluid mechanics2010

    • Author(s)
      Itoh, Shigeharu; Tanaka, Naoto; Tani, Atusi
    • Journal Title

      Adv. Math. Fluid Mech.

      Pages: 223-236

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540239
  • [Journal Article] Maximal attractor and inertial set for Eguchi-Oki-Matsumura equation2010

    • Author(s)
      Kurokiba, Masaki; Tanaka, Naoto; Tani, Atusi
    • Journal Title

      J. Math.l Anal. Appl.

      Volume: 365, no.15 Pages: 638-645

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540239
  • [Journal Article] On some boundary value problem for the Stokes equations with a parameter in an infinite sector2009

    • Author(s)
      S. Itoh, N. Tanaka and A. Tani
    • Journal Title

      To appear in the special volume of the series"Advances in Mathematical Fluid Mechanics" dedicated to the memory of Professor Alexander Kazhikhov edited by A. Fursikov, G.P. Galdi and V.V. Puchnachov, Birkhauser

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340042
  • [Journal Article] Some estimates of pressure for the Stokes equations in an infinite sector2009

    • Author(s)
      S. Itoh, N. Tanaka and A. Tani
    • Journal Title

      Proc. Japan Acad. 85, Ser. A

      Pages: 37-40

    • NAID

      40016557929

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340042
  • [Journal Article] Steady solution and its stability to Navier-Stokes equations with general Navier slip boundary condition2009

    • Author(s)
      S. Itoh, N. Tanaka and A. Tani
    • Journal Title

      Zap. Nauchn. Semin. POMI 362

      Pages: 153-175

    • NAID

      120006459356

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340042
  • [Journal Article] Steady Navier-Stokes equations in a domain with piecewise smooth boundary. Comput2007

    • Author(s)
      S. Itoh, N. Tanaka and A. Tani
    • Journal Title

      Math. Appl. 53

      Pages: 685-691

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340042
  • [Journal Article] Steady Navier-Stokes equations in a domain with piecewise smooth boundary2007

    • Author(s)
      S. Itoh, N. Tanaka and A. Tani
    • Journal Title

      Comput.Math.Appl 53

      Pages: 685-691

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340042
  • [Journal Article] On some boundary value problem for the Stokes equations in an infinite sector2006

    • Author(s)
      S. Itoh, N. Tanaka and A. Tani
    • Journal Title

      Anal. Appl. 4

      Pages: 357-375

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340042
  • [Journal Article] On some boundary value problem for the Stokes equations in an infinite sector2006

    • Author(s)
      S.Itoh, N.Tanaka, A.Tani
    • Journal Title

      Analysis Appl. 4

      Pages: 357-375

    • Data Source
      KAKENHI-PROJECT-18340042
  • 1.  KUSANO Takashi (70033868)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 0 results
  • 2.  ITOH Shigeharu (40193487)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 8 results
  • 3.  TANI Atusi (90118969)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 9 results
  • 4.  YAMADA Naoki (50030789)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  ITOU Hiromichi (30400790)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 7 results
  • 6.  NODERA Takashi (50156212)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  INOUE Atsushi (50078557)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  SAIGO Megumi (10040403)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  IGUCHI Tatsuo (20294879)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  陶山 芳彦 (70028223)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  NAITO Manabu (00106791)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  YOSHIDA Norio (80033934)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  TAKAYAMA Masahiro (90338252)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 14.  UMEHARA Morimichi (40532164)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  KUROKIBA Masaki (60291837)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  蛯原 幸義 (00078601)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  星野 弘喜 (80238740)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  MAEJIMA Makoto (90051846)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  SHIMOMURA Shun (00154328)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  TAMURA Akihisa (50217189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  YOSHIZAWA Masatsugu (10095664)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  ISHIKAWA Shiro (10051913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  SUGIURA Toshihiko (70265932)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  OKABE Takahiro (00626872)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  KUROSE Hideki (00161795)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  OGI Hidekazu (30248471)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  MARUO Kenji (90028225)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  ISHII Katsuyuki (40232227)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  渡辺 正文 (70078559)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  大島 一彦 (50078573)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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