D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 40 Citations 6,754 143 World Ranking 1379 National Ranking 19

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Gene

Shuichi Kawashima spends much of his time researching Mathematical analysis, Initial value problem, Partial differential equation, Dissipative system and Conservation law. His Mathematical analysis study combines topics in areas such as Exponential stability and Boltzmann equation. His Boltzmann equation course of study focuses on Differential equation and Convection–diffusion equation.

His work deals with themes such as Polytropic process and Motion, which intersect with Initial value problem. The Dissipative system study combines topics in areas such as Hyperbolic partial differential equation and Nonlinear system. The study incorporates disciplines such as Symmetry, Second order equation, Mathematical physics, Wave propagation and Geometry in addition to Conservation law.

His most cited work include:

  • Systems of a Hyperbolic-Parabolic Composite Type, with Applications to the Equations of Magnetohydrodynamics (375 citations)
  • Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation (273 citations)
  • Asymptotic Stability of Traveling Wave Solutions of Systems for One-dimensional Gas Motion (271 citations)

What are the main themes of his work throughout his whole career to date?

Shuichi Kawashima focuses on Mathematical analysis, Dissipative system, Initial value problem, Boltzmann equation and Exponential stability. Shuichi Kawashima frequently studies issues relating to Nonlinear system and Mathematical analysis. His Dissipative system research is multidisciplinary, incorporating elements of Work, Hyperbolic systems, Energy and Euler's formula.

His study in Initial value problem is interdisciplinary in nature, drawing from both Energy method, Superposition principle, Sobolev space, Fundamental solution and Plate equation. His Boltzmann equation study combines topics in areas such as Mathematical physics, Partial differential equation, Statistical physics, Differential equation and Lattice Boltzmann methods. His work in Exponential stability covers topics such as Conservation law which are related to areas like Hyperbolic partial differential equation.

He most often published in these fields:

  • Mathematical analysis (58.73%)
  • Dissipative system (21.69%)
  • Initial value problem (21.69%)

What were the highlights of his more recent work (between 2011-2021)?

  • Mathematical analysis (58.73%)
  • Dissipative system (21.69%)
  • Euler's formula (7.94%)

In recent papers he was focusing on the following fields of study:

Shuichi Kawashima mainly focuses on Mathematical analysis, Dissipative system, Euler's formula, Hyperbolic systems and Initial value problem. The various areas that Shuichi Kawashima examines in his Mathematical analysis study include Besov space and Dissipation. Shuichi Kawashima combines subjects such as Work, Euler equations, Energy, Fourier transform and Pointwise with his study of Dissipative system.

The study incorporates disciplines such as Energy method, Relaxation and Exponential stability in addition to Hyperbolic systems. His biological study spans a wide range of topics, including Amplitude, Conservation law and Hyperbolic partial differential equation. Shuichi Kawashima has included themes like Dispersion relation and Space dimension in his Initial value problem study.

Between 2011 and 2021, his most popular works were:

  • Dissipative Structure of the Regularity-Loss Type and Time Asymptotic Decay of Solutions for the Euler--Maxwell System (57 citations)
  • Decay Structure for Symmetric Hyperbolic Systems with Non-Symmetric Relaxation and its Application (43 citations)
  • Global Classical Solutions for Partially Dissipative Hyperbolic System of Balance Laws (38 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Gene

Shuichi Kawashima mostly deals with Mathematical analysis, Dissipative system, Initial value problem, Dissipation and Space. Shuichi Kawashima regularly ties together related areas like Besov space in his Mathematical analysis studies. The concepts of his Dissipative system study are interwoven with issues in Energy, Pointwise, Fourier transform and Euler equations.

Shuichi Kawashima has researched Initial value problem in several fields, including Infinity and Dispersion relation. His Infinity research focuses on Burgers' equation and how it connects with Semigroup. His work in Frequency domain addresses issues such as Thermal conduction, which are connected to fields such as Differential equation and Classical mechanics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

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

Shuichi Kawashima.
(1984)

602 Citations

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

Shuichi Kawashima.
(1984)

602 Citations

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

Yasushi Shizuta;Shuichi Kawashima.
Hokkaido Mathematical Journal (1985)

437 Citations

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

Yasushi Shizuta;Shuichi Kawashima.
Hokkaido Mathematical Journal (1985)

437 Citations

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

Shuichi Kawashima;Akitaka Matsumura.
Communications in Mathematical Physics (1985)

436 Citations

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

Shuichi Kawashima;Akitaka Matsumura.
Communications in Mathematical Physics (1985)

436 Citations

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

Shuichi Kawashima.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1987)

287 Citations

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

Shuichi Kawashima.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1987)

287 Citations

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

Tetu Makino;Seiji Ukai;Shuichi Kawashima.
Japan Journal of Applied Mathematics (1986)

266 Citations

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

Tetu Makino;Seiji Ukai;Shuichi Kawashima.
Japan Journal of Applied Mathematics (1986)

266 Citations

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