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Shuichi Kawashima

Shuichi Kawashima

D-Index & Metrics

Mathematics

D-Index
45
Citations
7833
World Ranking
1480
National Ranking
20

Overview

Shuichi Kawashima is affiliated with Waseda University in Japan and has contributed significantly to the fields of mathematics and engineering through research focused on partial differential equations, fluid dynamics, and applied mathematical modeling.

Their research spans several subfields, including mathematical physics, applied mathematics, control and systems engineering, computational mechanics, and computational theory. The primary areas of study cover advanced mathematical physics problems, Navier-Stokes equation solutions, stability and controllability of differential equations, fluid dynamics and turbulent flows, advanced mathematical modeling in engineering, contact mechanics and variational inequalities, and computational fluid dynamics and aerodynamics.

Frequent coauthors collaborating with Kawashima include Jiang Xu, Yoshihiro Shibata, Takayoshi Ogawa, Naofumi Mori, and Ryosuke Nakasato.

The scientist's recent publications demonstrate ongoing activity in these research themes:

  • The L energy methods and decay for the compressible Navier-Stokes equations with capillarity, 2021, Journal de Mathématiques Pures et Appliquées
  • Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion, 2021, Communications in Partial Differential Equations
  • Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework, 2022, Journal of Differential Equations
  • Decay property for symmetric hyperbolic system with memory-type diffusion, 2020, Journal of Differential Equations
  • Linear decay property for the hyperbolic-parabolic coupled systems of thermoviscoelasticity, 2023, Journal of Hyperbolic Differential Equations

Kawashima's work is often published in venues such as the Journal of Differential Equations, Journal of Hyperbolic Differential Equations, Mathematical Models and Methods in Applied Sciences, Journal de Mathématiques Pures et Appliquées, and Communications in Partial Differential Equations.

Best Publications

  • Systems of a Hyperbolic-Parabolic Composite Type, with Applications to the Equations of Magnetohydrodynamics

    Shuichi Kawashima

  • Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation

    Yasushi Shizuta;Shuichi Kawashima

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

    Shuichi Kawashima;Akitaka Matsumura

  • Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications

    Shuichi Kawashima

  • Sur la solution à support compact de l’equation d’Euler compressible

    Tetu Makino;Seiji Ukai;Shuichi Kawashima

  • Smooth global solutions for the one-dimensional equations in magnetohydrodynamics

    Shuichi Kawashima;Mari Okada

  • On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics

    Tomio Umeda;Shuichi Kawashima;Yasushi Shizuta

  • On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws

    Shuichi Kawashima;Yasushi Shizuta

  • Asymptotic Stability of the Stationary Solution to the Compressible Navier-Stokes Equations in the Half Space

    Shuichi Kawashima;Shinya Nishibata;Peicheng Zhu

  • DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM

    Kentaro Ide;Kazuo Haramoto;Shuichi Kawashima

  • On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term

    Shuichi Kawashima;Mitsuhiro Nakao;Kosuke Ono

  • 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

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

    S. Kawashima;Y. Shibata

  • Decay property of regularity-loss type and application to some nonlinear hyperbolic-elliptic system

    Takafumi Hosono;Shuichi Kawashima

  • Shock waves for a model system of the radiating gas

    Shuichi Kawashima;Shinya Nishibata

  • Global solutions to the initial value problem for the equations of one-dimensional motion of viscous polytropic gases

    Shuichi Kawashima;Takaaki Nishida

  • Smooth global solutions for two-dimensional equations of electro-magneto-fluid dynamics

    Shuichi Kawashima

  • DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM

    Kentaro Ide;Shuichi Kawashima

  • The Boltzmann equation and thirteen moments

    Shuichi Kawashima

Frequent Co-Authors

Minoru Kanehisa
Minoru Kanehisa Kyoto University
Renjun Duan
Renjun Duan Chinese University of Hong Kong
Akitaka Matsumura
Akitaka Matsumura Osaka University
Susumu Goto
Susumu Goto Osaka University
Nicola Bellomo
Nicola Bellomo University of Granada
Toshihisa Takagi
Toshihisa Takagi University of Tokyo
Michel Dumontier
Michel Dumontier Maastricht University
Yoshihiro Shibata
Yoshihiro Shibata Waseda University
Hiroki Nishida
Hiroki Nishida Osaka University
Robert Hoehndorf
Robert Hoehndorf King Abdullah University of Science and Technology

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