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Shuichi Kawashima Last modified date:2015.6.1

Graduate School
Undergraduate School

Academic Degree
Doctor of Engineering
Field of Specialization
Partial Differential Equations
Outline Activities
My research theme is the mathematical analysis of nonlinear partial
differential equations describing various aspects of gas motion.
Especially, my main research interest is in the mathematical analysis
of nonlinear waves arising in gas motion with dissipative mechanism.
Indeed, I have studied the asymptotic stability of shock waves,
rarefaction waves and diffusion waves for compressible Navier-Stokes
equation and the discrete velocity Boltzmann equation,
both with dissipative structure.
These two equations are different as the type of partial differential
equations but they have the fundamental similarity in their dissipative
structure, and this common structure plays an important role in their
mathematical analysis.
Similar analysis is also applied to the equations of a radiating gas
Research Interests
  • Mathematical analysis for nonlinear partial differential equations arising in gas dynamics
    keyword : partial differential equations, nonlinear phenomena, asymptotic behavior
Academic Activities
Educational Activities
Graduate course in Graduate School of Mathematics.
Classes in Department of Mathematics, Faculty of Science.
Classes in Faculty of Engineering.