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Akitaka Matsumura

Akitaka Matsumura

D-Index & Metrics

Mathematics

D-Index
32
Citations
8514
World Ranking
3107
National Ranking
51

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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