CHIKAMI Noboru

写真a

Affiliation Department etc.

Department of Computer Science
Department of Computer Science

Title

Associate Professor

External Career

  • 2019.04
    -
    2019.12

    Osaka University   Graduate School of Engineering Science   Lecturer  

  • 2018.04
    -
    2019.12

    Osaka University   Graduate School of Engineering Science   Special researcher of the Japan Society for the Promotion of Science  

  • 2016.06
    -
    2018.03

    Tohoku University   Graduate School of Science   Assistant Professor  

Academic Society Affiliations

  • 2014.04
    -
    Now

    Mathematical Society of Japan

 

Papers

  • Well-posedness and global dynamics for the critical Hardy-Sobolev parabolic equation

    Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi

    Nonlinearity ( IOP Publishing Ltd & London Mathematical Society )  34 ( 11 )   2021.10  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • Composition estimates and well-posedness for Hardy–Hénon parabolic equations in Besov spaces

    Noboru Chikami

    Journal of Elliptic and Parabolic Equations ( Springer Science and Business Media {LLC} )    2019.12  [Refereed]

    Research paper (scientific journal)   Single Author

  • Global Well-Posedness and Time-Decay Estimates of the Compressible Navier–Stokes–Korteweg System in Critical Besov Spaces

    Noboru Chikami, Takayuki Kobayashi

    Journal of Mathematical Fluid Mechanics ( Springer Science and Business Media {LLC} )  21 ( 2 )   2019.06  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • On Gagliardo-Nirenberg type inequalities in Fourier-Herz spaces

    Chikami Noboru

    JOURNAL OF FUNCTIONAL ANALYSIS   275 ( 5 ) 1138 - 1172   2018.09  [Refereed]

    Research paper (scientific journal)   Single Author

  • On the global existence and time decay estimates in critical spaces for the Navier–Stokes–Poisson system

    Chikami N, Danchin R

    Mathematische Nachrichten   290 ( 13 ) 1939 - 1970   2017.09  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • Well-posedness of the compressible Navier–Stokes–Poisson system in the critical Besov spaces

    Chikami N, Ogawa T

    Journal of Evolution Equations   17 ( 2 ) 717 - 747   2017.06  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

  • WELL-POSEDNESS OF THE COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM IN BESOV SPACES (Mathematical Analysis in Fluid and Gas Dynamics : RIMS研究集会報告集)

    千頭 昇, 小川 卓克

    数理解析研究所講究録 ( 京都大学 )  ( 1985 ) 144 - 158   2016.04

    Research paper (scientific journal)   Multiple Authorship

  • On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces

    Noboru Chikami, Raphael Danchin

    JOURNAL OF DIFFERENTIAL EQUATIONS ( ACADEMIC PRESS INC ELSEVIER SCIENCE )  258 ( 10 ) 3435 - 3467   2015.05  [Refereed]

    Research paper (scientific journal)   Multiple Authorship

    We are concerned with the Cauchy problem of the full compressible Navier Stokes equations satisfied by viscous and heat conducting fluids in R-n. We focus on the so-called critical Besov regularity framework. In this setting, it is natural to consider initial densities rho(0), velocity fields u(0) and temperatures theta(0) with a(0) := rho(0) - 1 is an element of (B) over dot(p,1)(n/p), u(0) is an element of (B) overp dot(p,1)(n/p-1) and theta(0) (B)over dot(p,1)(n/p-2). After recasting the whole system in Lagrangian coordinates, and working with the total energy along the flow rather than with the temperature, we discover that the system may be solved by means of Banach fixed point theorem in a critical functional framework whenever the space dimension is n >= 2, and 1 < p < 2n. Back to Eulerian coordinates, this allows to improve the range of p's for which the system is locally well-posed, compared to [7]. (C) 2015 Elsevier Inc. All rights reserved.

  • THE BLOW-UP CRITERION FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM WITH A YUKAWA-POTENTIAL IN THE CRITICAL BESOV SPACE

    Noboru Chikami

    DIFFERENTIAL AND INTEGRAL EQUATIONS ( KHAYYAM PUBL CO INC )  27 ( 9-10 ) 801 - 820   2014.09  [Refereed]

    Research paper (scientific journal)   Single Author

    We give a refined blow-up criterion for the solution for the compressible Navier-Stokes system with a Yukawa-potential in the critical Besov space [13]. The result may be considered as a compressible counterpart of the results for. the incompressible Navier-Stokes system.

Presentations

  • Optimal well-posedness of Hardy–H ́enon parabolic equation

    千頭昇

    日本数学会2021年度秋季分科会   (千葉大学)  2021.09  -  2021.09  千葉大学

  • Optimal well-posedness and forward self-similar solution for the Hardy-He ́non parabolic equation

    Noboru Chikami

    13th International ISAAC Congress  (Ghent, Belgium)  2021.08  -  2021.08  ISAAC, Ghent University