World's Best Scientists 2026 revealed!
Akitaka Matsumura

Akitaka Matsumura

D-Index & Metrics

Mathematics

D-Index
32
Citations
8514
World Ranking
3108
National Ranking
51

Akitaka Matsumura publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Akitaka Matsumura sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 75 publications — 3rd percentile

3% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Akitaka Matsumura D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Akitaka Matsumura sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 32 D-Index — 14th percentile

14% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Akitaka Matsumura is affiliated with Osaka University in Japan and specializes in mathematical and engineering research. Their work is mainly concentrated in applied mathematics and mathematical physics, with a focus on the analysis and solutions of partial differential equations related to fluid dynamics and continuum mechanics.

Their primary fields of study encompass:

  • Mathematics
  • Engineering

Within these fields, their research delves into subfields such as:

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

The main topics addressed in their work include:

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

Matsumura has authored several papers, among which recent and notable publications are:

  • "Global asymptotics toward the rarefaction waves for solutions to the Cauchy problem of the scalar conservation law with nonlinear viscosity," 2020, OUKA (Osaka University Knowledge Archive) (Osaka University)
  • "Asymptotic Behavior of Solutions to the Cauchy Problem for 1D p-System with Space-Dependent Damping," 2024, SIAM Journal on Mathematical Analysis
  • "Asymptotic behavior of solutions to the Cauchy problem for 1-D p-system with space dependent damping," 2023, arXiv (Cornell University)

Their frequent collaborators include:

  • Itsuko Hashimoto
  • Kenji Nishihara
  • Natsumi Yoshida

Matsumura's work has been published in a range of academic venues, including:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • OUKA (Osaka University Knowledge Archive) (Osaka University)
  • Methods and Applications of Analysis
  • Communications in Mathematical Physics

The breadth of their research spans the study of Navier-Stokes equations, nonlinear partial differential equations, and computational methods relevant to fluid dynamics and aerodynamic phenomena, with an emphasis on the stability, controllability, and asymptotic behavior of solutions. The collaborative projects and publications indicate an interdisciplinary approach, bridging mathematical theory and applied engineering analyses.

Best Publications

  • The initial value problem for the equations of motion of viscous and heat-conductive gases

    Akitaka Matsumura;Takaaki Nishida

  • Initial-boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids

    Akitaka Matsumura;Takaaki Nishida

  • The Initial Value Problem for the Equations of Motion of compressible Viscous and Heat-conductive Fluids.

    Akitaka Matsumura;Takaaki Nishida

  • On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations

    Akitaka Matsumura

  • Asymptotic Stability of Traveling Wave Solutions of Systems for One-dimensional Gas Motion

    Shuichi Kawashima;Akitaka Matsumura

  • Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas

    Akitaka Matsumura;Kenji Nishihara

  • On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas

    Akitaka Matsumura;Kenji Nishihara

  • Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas

    Akitaka Matsumura;Kenji Nishihara

  • Optimal Decay Rate of the Compressible Navier–Stokes–Poisson System in $${\mathbb {R}^3}$$

    Hai-Liang Li;Akitaka Matsumura;Guojing Zhang

  • Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity

    Akitaka Matsumura;Kenji Nishihara

  • Global Existence and Asymptotics of the Solutions of the Second-Order Quasilinear Hyperbolic Equations with the First-Order Dissipation

    Akitaka Matsumura

  • Large-Time Behaviors of Solutions to an Inflow Problem in the Half Space for a One-Dimensional System¶of Compressible Viscous Gas

    Akitaka Matsumura;Kenji Nishihara

  • Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves

    Tai-Ping Liu;Akitaka Matsumura;Kenji Nishihara

  • Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier-Stokes System

    Feimin Huang;Jing Li;Jing Li;Akitaka Matsumura

  • Stability of Contact Discontinuities for the 1-D Compressible Navier-Stokes Equations

    Feimin Huang;Akitaka Matsumura;Zhouping Xin

  • On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation

    Shuichi Kawashima;Akitaka Matsumura;Takaaki Nishida

  • Asymptotic behavior of solutions for the equations of a viscous heat-conductive gas

    Shuichi Kawashima;Akitaka Matsumura;Kenji Nishihara

  • Optimal decay rate of the compressible Navier-Stokes-Poisson system in R^3

    Hai-Liang Li;A. Matsumura;Guojing Zhang

  • Convergence to Travelling Fronts of Solutions of the p-System with Viscosity in the Presence of a Boundary

    Akitaka Matsumura;Ming Mei

  • Global asymptotics toward the rarefaction wave for solutions of viscous p -system with boundary effect

    Akitaka Matsumura;Kenji Nishihara

  • Stability of a Composite Wave of Two Viscous Shock Waves for the Full Compressible Navier-Stokes Equation

    Feimin Huang;Akitaka Matsumura

  • Viscous Shock Wave and Boundary Layer Solution to an Inflow Problem for Compressible Viscous Gas

    Feimin Huang;Feimin Huang;Akitaka Matsumura;Xiaoding Shi;Xiaoding Shi

Frequent Co-Authors

Feimin Huang
Feimin Huang Chinese Academy of Sciences
Shuichi Kawashima
Shuichi Kawashima Kyushu University
Tai-Ping Liu
Tai-Ping Liu Stanford University
Zhouping Xin
Zhouping Xin Chinese University of Hong Kong

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