論文一覧

自分が関わった論文一覧です.

Navier-Stokes方程式関係

(査読有)

  1. T. Kubo, Y. Shibata, K. Soga, On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface. Discrete and Continuous Dynamical Systems - Series A,(2016) 3741-3774
  2. T.Kobayashi, T.Kubo, Weighted Lp-Lq estimates of Stokes semigruoup in half-space and its application to the Navier-Stokes equations, Advances in Mathematical Fluid Mechanics, Recent Developments of Mathematical Fluid Mechanics,(2016). 337-350
  3. T. Hishida, T. Kubo, On the Asymtotic stability for small initial disturbance of Navier-Stokes flow in a two-dimensional aperture domain, Gakuto International Series, Mathematical Sciences and Application, Mathematical Fluid Dynamics and Nonlinear Wave, (2015) 183-192.
  4. T. Kubo, Y. Shibata, K. Soga, On the R-boundedness for the two phase problem: compressible-incompressible model problem, Boundary Value Problem, (2014):141, 33pp.
  5. T. Kobayashi, T. Kubo, Weighted Lp-Lq etimates of the Stokes semigroup in some unbounded domains, Tsukuba J. Math. Vol.37 No.2 (2013).179-205.
  6. T. Kobayashi, T. Kubo, Weighted estimates of Stokes semigroup in unbounded domains, Advanced studies in pure mathematics 64, Proceedings for the 4th MSJ-SI conference on Nonlinear Dynamics in Partial Differential Equations, (2015), 427-436
  7. T. Kubo, The Stokes and Navier-Stokes equations in an aperture domain, J. Math. Soc. Japan, Vol.59, No.3 (2007),837-859.
  8. T. Kubo, On the Stokes and Navier-Stokes equations in a perturbef half-space and an aperture domain, Asymptotic Analysis and Singularities, Hyperbolic and dispersive PDEs and uid mechanics, 47-1, Advanced Studies in Pure Mathematics, T. Kohno et al. ed. Tokyo Shoseki Printing Co. (2007), 169-187.
  9. T. Kubo and Y. Shibata, Lp - Lq estimate of the Stokes semigroup and its application to Navier-Stokes equation in a perturbed half-space, Hyperbolic Problems, Theory, Numerics and Applications, II, Asakura et al. ed. Yokohama Publishers (2006), 125-132.
  10. T. Kubo, Periodic solutions of the Navier-Stokes equations in a perturbed half-space and an aperture domain, Mathematical Methods in the Applied Sciences, 28, No.11 (2005), 1341-1357.
  11. T. Kubo and Y. Shibata, On some properties of solutions to the Stokes equation in the half-space and perturbed half-space. Equations in Math. Physics Quaderni in Mathematica, series edited by Dept. Math. II Univ. di Napoli 15 (2005), 151-220.
  12. T. Kubo and Y. Shibata, On the Stokes and Navier-Stokes ows in a perturbed half-space, Regularity and Other Aspects of the Navier-Stokes Equations,  Vol. 70, Banach Center Publications (2005), 157-167.
  13. T. Kubo and Y. Shibata, On the Stokes and Navier-Stokes equations in a perturbed half-space, Advances in Differential Equations, Vol. 10, No.6 (2005), 695-720.

(査読無)

  1. T. Kubo, On two phase problem: compressible -compressible model problem, 研究集会"非圧縮性粘性流体の数理解析",数理解析研究所講究録1905(2014),61-72.
  2. T. Kubo, Weighted Lp -Lq estimate for the Stokes semigroup in half-space and perturbed half-space, 研究集会"流体と気体の数学解析",数理解析研究所講究録1730 (2011), 1-17.
  3. T. Kubo, The Stokes and Navier-Stokes equations in an aperture domain, 研究集会"流体と気体の数学解析", 数理解析研究所講究録1592 (2008), 53-68.
  4. T. Kubo and Y. Shibata, Lp - Lq estimate of the Stokes semigroup in a perturbed half-space, 研究集会"調和解析学と非線形偏微分方程式, 数理解析研究所講究録1389(2004),93-119.


精度保証付き数値計算関係

(査読有)

  1. A.Takayasu, M. Mizuguchi, T. Kubo, and S. Oishi: "Accurate Method of Verified Computing for Solutions of Semilinear Heat Equatinos", Reliable Computing, Vol.25, (2017), 74-99.
  2. M. Mizuguchi, A. Takayasu, T. Kubo, and S. Oishi: "A method of verified computations for solutions to semilinear parabolic equations using semigroup theory", SIAM J. Numer. Anal., Vol.55, No.2(2017)980-1001,
  3. M. Mizuguchi, A. Takayasu, T. Kubo, and S. Oishi: "Numerical verification for existence of a global-in-time solution to semilinear parabolic equations", Journal of Computational and Applied Mathematics, 315(2017)1-16.
  4. M. Mizuguchi, A. Takayasu, T. Kubo, and S. Oishi: "On the embedding constant of the Sobolev type inequality for fractional derivatives", NOLTA, IEICE, Vol.7, No.3(2016), 386-394.
  5. A. Takayasu, S. Oishi, T. Kubo,Numerical Existence Theorem for Solutions of Two-Point Boundary Value Problems of Nonlinear Differential Equations, NOLTA, IE-ICE, Vol.E93-N, No.10 (2010), 105-118. 
  6. A. Takayasu, S. Oishi, T. Kubo,Computer assisted proofs of solutions to Nonlinear elliptic partial differential equations, Proceedings of 2010 International Symposium on Nonlinear Theory and its Applications (NOLTA 2010) (2010),135-138.
  7. A. Takayasu, S. Oishi, T. Kubo,A priori inverse operator estimation for guaranteed error estimate, Proceedings of 4th Workshop on Reliable Engineering Computing (REC2010) "Robust Design - Coping with Hazards, Risk and Uncertainty",Singapore (2010), 649-664.
  8. A. Takayasu, S. Oishi, T. Kubo,Guaranteed error estimate for solutions to two-point boundary value problem, Proceedings of 2009 International Symposium on Nonlinear Theory and its Applications (NOLTA2009)(2009),214-217. 
  9. A. Takayasu, S. Oishi, T. Kubo,Guaranteed error estimate for solutions to linear two-point boundary value problems with FEM, Proceedings of ASIA SIMULATION CONFERENCE 2009 (JSST 2009) (2009), Paper ID: 163.

(査読無)

  1. A. Takayasu, S. Oishi, T. Kubo, Numerical Existence Proofs and Guaranteed Error Bounds for Solutions to Two-Point Boundary Value Problems, 研究集会 数値解析と数値計算アルゴリズムの最近の展開,数理解析研究所講究録, 1719 (2010), 48-60.
  2. A. Takayasu, S. Oishi, T. Kubo,Numerical veri cation for solutions to nonlinear two-point boundary value problems with nite element method, Proceedings of the 24th International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC 2009) (2009), 165-168.


その他

  1. N. Fukuda, T. Kinoshita and T. Kubo, "On the Galerkin-wavelet method for higher order differential equations, the Bulletin of the Korean Mathematical Society,Vol 50, No.3(2013),963-982.