Papers - CHIKAMI Noboru
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Unconditional uniqueness and non-uniqueness for Hardy–Hénon parabolic equations Reviewed International coauthorship
Chikami, Noboru; Ikeda, Masahiro; Taniguchi, Koichi; Tayachi, Slim
Math. Ann. 2024
Authorship：Corresponding author Language：English Publishing type：Research paper (scientific journal)
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Local well-posedness for the scale-critical semilinear heat equation with a weighted gradient term Invited Reviewed
Chikami, Noboru; Ikeda, Masahiro; Taniguchi, Koichi
2024
Authorship：Corresponding author Language：English Publishing type：Research paper (international conference proceedings)
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Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces Reviewed
Chikami, Noboru; Ikeda, Masahiro; Taniguchi, Koichi
Nonlinear Anal. 222 2022.09
Authorship：Corresponding author Publishing type：Research paper (scientific journal)
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Well-posedness and global dynamics for the critical Hardy-Sobolev parabolic equation Reviewed International journal
Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi
Nonlinearity 34 ( 11 ) 2021.10
Language：English Publishing type：Research paper (scientific journal) Publisher：IOP Publishing Ltd & London Mathematical Society
Other Link： https://iopscience.iop.org/article/10.1088/1361-6544/ac2c90
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Composition estimates and well-posedness for Hardy–Hénon parabolic equations in Besov spaces Reviewed
Noboru Chikami
Journal of Elliptic and Parabolic Equations 2019.12
Publishing type：Research paper (scientific journal) Publisher：Springer Science and Business Media {LLC}
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Global Well-Posedness and Time-Decay Estimates of the Compressible Navier–Stokes–Korteweg System in Critical Besov Spaces Reviewed
Noboru Chikami, Takayuki Kobayashi
Journal of Mathematical Fluid Mechanics 21 ( 2 ) 2019.06
Publishing type：Research paper (scientific journal) Publisher：Springer Science and Business Media {LLC}
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On Gagliardo-Nirenberg type inequalities in Fourier-Herz spaces Reviewed
Chikami Noboru
JOURNAL OF FUNCTIONAL ANALYSIS 275 ( 5 ) 1138 - 1172 2018.09
Language：English Publishing type：Research paper (scientific journal)
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On the global existence and time decay estimates in critical spaces for the Navier-Stokes-Poisson system Reviewed International coauthorship
Noboru Chikami, Raphael Danchin
MATHEMATISCHE NACHRICHTEN 290 ( 13 ) 1939 - 1970 2017.09
Language：English Publishing type：Research paper (scientific journal) Publisher：WILEY-V C H VERLAG GMBH
We are concerned with the study of the Cauchy problem for the Navier-Stokes-Poisson system in the critical regularity framework. In the case of a repulsive potential, we first establish the unique global solvability in any dimension n >= 2 for small perturbations of a linearly stable constant state. Next, under a suitable additional condition involving only the low frequencies of the data and in the L-2-critical framework (for simplicity), we exhibit optimal decay estimates for the constructed global solutions, which are similar to those of the barotropic compressible Navier-Stokes system. Our results rely on new a priori estimates for the linearized Navier-Stokes-Poisson system about a stable constant equilibrium, and on a refined time-weighted energy functional. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Other Link： http://orcid.org/0000-0002-3107-2088
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Well-posedness of the compressible Navier-Stokes-Poisson system in the critical Besov spaces Reviewed
Noboru Chikami, Takayoshi Ogawa
JOURNAL OF EVOLUTION EQUATIONS 17 ( 2 ) 717 - 747 2017.06
Language：English Publishing type：Research paper (scientific journal) Publisher：SPRINGER BASEL AG
We consider the Cauchy problem of the compressible Navier-Stokes system coupled with a Poisson equation. We give the optimal well-posedness in terms of scaling in the Besov framework. The results include the case of two dimensions, which is not treated in previous results.
DOI： 10.1007/s00028-016-0334-6
Other Link： http://orcid.org/0000-0002-3107-2088
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A note on the well-posedness of the compressible viscous fluid in the critical Besov space Reviewed
Noboru Chikami
RIMS Kôkyûroku Bessatsu B63 2017
Authorship：Lead author Language：English Publishing type：Research paper (international conference proceedings)
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Some a priori estimate related to the well-posedness for the barotropic compressible Navier-Stokes system Reviewed
Noboru Chikami
RIMS Kôkyûroku Bessatsu B65 2017
Authorship：Lead author Language：English Publishing type：Research paper (international conference proceedings)
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WELL-POSEDNESS OF THE COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM IN BESOV SPACES (Mathematical Analysis in Fluid and Gas Dynamics)
Chikami Noboru, Ogawa Takayoshi
RIMS Kokyuroku ( 1985 ) 144 - 158 2016.04
Language：English Publishing type：Research paper (scientific journal) Publisher：Kyoto University
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On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces Reviewed International coauthorship
Noboru Chikami, Raphael Danchin
JOURNAL OF DIFFERENTIAL EQUATIONS 258 ( 10 ) 3435 - 3467 2015.05
Language：English Publishing type：Research paper (scientific journal) Publisher：ACADEMIC PRESS INC ELSEVIER SCIENCE
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.
DOI： 10.1016/j.jde.2015.01.012
Other Link： http://orcid.org/0000-0002-3107-2088
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THE BLOW-UP CRITERION FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM WITH A YUKAWA-POTENTIAL IN THE CRITICAL BESOV SPACE Reviewed
Noboru Chikami
DIFFERENTIAL AND INTEGRAL EQUATIONS 27 ( 9-10 ) 801 - 820 2014.09
Language：English Publishing type：Research paper (scientific journal) Publisher：KHAYYAM PUBL CO INC
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.
Other Link： http://orcid.org/0000-0002-3107-2088
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