Research Interests 【 display / non-display 】

Research Interests 【 display / non-display 】

Research Areas 【 display / non-display 】

Research Areas 【 display / non-display 】

Papers 【 display / non-display 】

Papers 【 display / non-display 】

• Thermodynamically consistent modeling for complex fluids and mathematical analysis

  Yukihto Suzuki, Masashi Ohnawa, Naofumi Mori, Shuichi Kawashima , 2021.09

  Mathematical Models and Methods in Applied Sciences

  DOI

• Time-periodic solutions of symmetric hyperbolic systems

  Masashi Ohnawa and Masahiro Suzuki , 2021.01

  JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS

  DOI

• On a relation between shock profiles and stabilization mechanisms in a radiating gas model

  Masashi Ohnawa , 2018

  XVI International Conference on Hyperbolic Problems: Theory, Numerics, Applications

• L∞-stability of Discontinuous Traveling Waves in a Hyperbolic-elliptic Coupled System

  Masashi Ohnawa , 2016.09

  SIAM Journal on Mathematical Analysis

• GENERIC formalism and discrete variational derivative method for the two-dimensional vorticity equation

  Y.Suzuki, M.Ohnawa , 2016.04

  Journal of Computational and Applied Mathematics

display all >>

Books 【 display / non-display 】

Books 【 display / non-display 】

• XVI International Conference on Hyperbolic Problems: Theory, Numerics, Applications

  Masashi Ohnawa , 2018.10

  Springer Proceedings in Mathematics and Statistics (PROMS, volume 237) , On a relation between shock profiles and stabilization mechanisms in a radiating gas model , 377-389

• Recent Developments of Mathematical Fluid Mechanics

  Masashi Ohnawa , 2016.09

  Springer Basel , Effects of fluid-boundary interaction on the stability of boundary layers in plasma physics , 401-410

• Mathematical Fluid Dynamics, Present and Future

  Masashi Ohnawa , 2016.09

  Springer , L∞-stability of Discontinuous Traveling Waves in a Radiating Gas Model , 0-13

• Mathematical Fluid Dynamics, Present and Future

  Masashi Ohnawa, Yukihito Suzuki , 2016.09

  Springer , Mathematical and numerical analysis of the Rayleigh-Plesset and the Keller equations , 0-21

• Advanced Studies in Pure Mathematics

  S.Nishibata, M. Ohnawa, M. Suzuki , 2015.04

  Mathematical Society of Japan , The mathematical justification of the Bohm criterion in plasma physics , 489-495

Grant-in-Aid for Scientific Research 【 display / non-display 】

Grant-in-Aid for Scientific Research 【 display / non-display 】

• Asymptotic analysis of shallow water flows under the influence of topography

  Project Period (FY)： 2021/04  -  2025/03  Investigator(s): 大縄将史

  Grant-in-Aid for Scientific Research(C)  Principal Investigator  21K03305 

• Analysis of free boundary problems in shallow water systems

  Project Period (FY)： 2017/04  -  2024/03  Investigator(s): 大縄 将史

  Grant-in-Aid for Scientific Research(C)  Principal Investigator  17K05313 

• Structure preserving numerical methods for fluid dynamics

  Project Period (FY)： 2017/04  -  2021/03  Investigator(s): Suzuki Yukihito

  Grant-in-Aid for Scientific Research(C)  Co-Investigator  17K05376 

  Structure preserving numerical methods are developed for three-dimensional one and two-phase incompressible flows. Discretized gradient, curl, and divergence operators have same properties as the continuum case. Then the budgets of energy, helicity, and enstrophy are expressed in the same form as the continuum case. The energy and helicity are conserved and the enstrophy is generated by vortex stretching in inviscid flows, and those are dissipated due to the viscosity in viscid flows.

• Mathematical study of micro pressure waves for developments in modern high-speed trains

  Project Period (FY)： 2015/07  -  2020/03  Investigator(s): Sakajo Takashi

  Grant-in-Aid for Scientific Research(B)  Co-Investigator  15KT0014 

  In this research project, we investigate the dynamics of micro pressure waves generated by modern high-speed trains in tunnels by organizing a joint group among mathematicians and researchers in Railway Technical Research Institute (RTRI). We have proposed a new numerical scheme for a one-dimensional integro-differential nonlinear equation (Ozawa equation) describing the development of micro pressure waves, thereby we understand their dynamics in detail. Also, we have conducted comprehensive data analysis for real measured pressure data offered by RTRI to understand the relation between the shape of tunnel entrances and pressure wave developments. As a consequence, we have created mathematical foundations to deal with severe practical problems caused by micro pressure waves. In addition, we have successfully explored new problems with regard to train technologies in RTRI. The joint research will be continued under joint research contract with RTRI after the project ends.

Lesson Subject 【 display / non-display 】

Lesson Subject 【 display / non-display 】