World's Best Scientists 2026 revealed!
Yoshihiro Shibata

Yoshihiro Shibata

D-Index & Metrics

Mathematics

D-Index
35
Citations
4354
World Ranking
2810
National Ranking
45

Overview

Yoshihiro Shibata is affiliated with Waseda University in Japan. Their research primarily focuses on Mathematics, with a strong emphasis on Applied Mathematics and Mathematical Physics. Over their career, they have produced significant academic output, including numerous publications and contributions to the study of differential equations and fluid dynamics.

The main fields of study covered in their work include:

  • Mathematics

Within this broad field, Shibata has specialized in several prominent subfields:

  • Applied Mathematics
  • Mathematical Physics
  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Computational Mechanics

Their research topics demonstrate a focus on the analysis and solutions of complex mathematical and physical problems:

  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Fluid Dynamics and Turbulent Flows
  • Computational Fluid Dynamics and Aerodynamics

Shibata has published papers in several frequent venues, reflecting engagement with mathematical and applied research communities:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Mathematics
  • Journal of Mathematical Fluid Mechanics
  • Journal of Applied Analysis

Key recent papers authored or coauthored by Shibata include:

  • "OX40 and LAG3 are associated with better prognosis in advanced gastric cancer patients treated with anti-programmed death-1 antibody" (2020, British Journal of Cancer)
  • "Discovery of Futibatinib: The First Covalent FGFR Kinase Inhibitor in Clinical Use" (2023, ACS Medicinal Chemistry Letters)
  • "The L energy methods and decay for the compressible Navier-Stokes equations with capillarity" (2021, Journal de Mathématiques Pures et Appliquées)
  • "The Global Well-Posedness for the Compressible Fluid Model of Korteweg Type" (2020, SIAM Journal on Mathematical Analysis)
  • "Spatial dynamics of CD39+CD8+ exhausted T cell reveal tertiary lymphoid structures-mediated response to PD-1 blockade in esophageal cancer" (2024, Nature Communications)

The scientist has also contributed to book literature, with a notable publication through Springer Nature:

  • "Mathematical Analysis of the Navier-Stokes Equations" (2020)

Frequent coauthors collaborating with Shibata encompass a range of researchers working in related fields:

  • Xin Zhang
  • Hirokazu Saito
  • Hirofumi Ohmura
  • Eishi Baba
  • Mads Kyed

Best Publications

  • Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3

    Takayuki Kobayashi;Yoshihiro Shibata

  • On the rate of decay of solutions to linear viscoelastic equation

    Yoshihiro Shibata

  • Global existence and exponential stability of small solutions to nonlinear viscoelasticity

    S. Kawashima;Y. Shibata

  • On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain

    Yoshihiro Shibata;Senjo Shimizu

  • On the Oseen equation in the three dimensional exterior domains

    Takayuki Kobayashi;Yoshihiro Shibata

  • Lp-Lq estimate of the stokes operator and navier-stokes flows in the exterior of a rotating obstacle

    Toshiaki Hishida;Yoshihiro Shibata

  • A Decay Property of the Fourier Transform and its Application to the Stokes Problem

    Y. Shibata;S. Shimizu

  • On a Global Existence Theorem of Small Amplitude Solutions for Nonlinear Wave Equations in an Exterior Domain.

    Yoshihiro Shibata;Yoshio Tsutsumi

  • The Fujita–Kato approach to the Navier–Stokes equations in the rotational framework

    Matthias Hieber;Yoshihiro Shibata

  • Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity

    Reinhard Racke;Reinhard Racke;Yoshihiro Shibata;Yoshihiro Shibata

  • On an exterior initial boundary value problem for Navier-Stokes equations

    Yoshihiro Shibata

  • On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow

    Yuko Enomoto;Yoshihiro Shibata

  • On the Lq - Lr estimates of the Stokes semigroup in a two dimensional exterior domain

    Wakako Dan;Yoshihiro Shibata

  • Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations

    Takayuki Kobayashi;Yoshihiro Shibata

  • On the Global Existence and Convergence to Steady State of Navier-Stokes Flow Past an Obstacle that is Started from Rest

    G. P. Galdi;J. G. Heywood;Y. Shibata

  • On the maximal $L_p$-$L_q$ regularity of the Stokes problem with first order boundary condition; model problems

    Yoshihiro Shibata;Senjo Shimizu

  • On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity

    Takayuki Kobayashi;Hartmut Pecher;Yoshihiro Shibata

  • Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity

    Reinhard Racke;Yoshihiro Shibata;Song Mu Zheng

  • On the Rate of Decay of the Oseen Semigroup in Exterior Domains and its Application to Navier–Stokes Equation

    Yuko Enomoto;Yoshihiro Shibata

  • Global existence results for Oldroyd-B fluids in exterior domains

    Matthias Hieber;Yuka Naito;Yoshihiro Shibata

  • On a generalized resolvent estimate for the Stokes system with Robin boundary condition

    Yoshihiro Shibata;Rieko Shimada

Frequent Co-Authors

Reinhard Racke
Reinhard Racke University of Konstanz
Shuichi Kawashima
Shuichi Kawashima Kyushu University
Jan Prüss
Jan Prüss Martin Luther University Halle-Wittenberg
Giovanni P. Galdi
Giovanni P. Galdi University of Pittsburgh

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing a Mathematics degree opens doors to a variety of career pathways that often intersect with business, finance, and technology sectors. For those interested in advancing their leadership and strategic skills, exploring fastest MBA programs online can provide a time-efficient route to management roles.

On the finance side, leveraging mathematical expertise is crucial, making masters in finance online programs popular among math graduates aiming to specialize in financial analysis, risk management, or investment strategies.

For those leaning towards research and higher academic qualifications, enrolling in dba programs online can enhance analytical and decision-making capabilities, blending data-driven insights with real-world business applications.

Lastly, combining mathematical skills with marketing analytics is increasingly valuable. Affordable options like the cheapest online marketing degree programs offer practical pathways to careers in digital marketing and consumer data analysis.

Best Scientists Citing Yoshihiro Shibata

Trending Scientists