Research Interests 【 display / non-display 】

Research Interests 【 display / non-display 】

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Research Areas 【 display / non-display 】

Research Areas 【 display / non-display 】

Papers 【 display / non-display 】

Papers 【 display / non-display 】

• Decay property for the Timoshenko system with two types of weak damping

  Shunta Okajima, Naofumi Mori , 2026.10

  Journal of Differential Equations

  DOI

• Decay property for symmetric hyperbolic system with memory-type relaxation

  Naofumi Mori, Mari Okada, Shuichi Kawashima , 2024.01

  Analysis and Applications

  DOI

• Decay property for a novel partially dissipative viscoelastic beam system on the real line

  Naofumi MORI, M. A. Jorge Silva , 2022.10

  Journal of Hyperbolic Differential Equations

  DOI

• Thermodynamically consistent modeling for complex fluids and mathematical analysis

  Yukihito Suzuki, Masashi Ohnawa, Naofumi Mori, Shuichi Kawashima , 2021.10

  Mathematical Models and Methods in Applied Sciences

  DOI

• Decay property for symmetric hyperbolic system with memory-type diffusion

  Mari Okada , Naofumi Mori , Shuichi Kawashima , 2021.03

  Journal of Differential Equations

  DOI

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

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

• Elucidation of new dissipative structure and exploration of general stability analysis method for symmetric hyperbolic system

  Project Period (FY)： 2021/04  -  2024/03  Investigator(s): 森直文

  Grant-in-Aid for Young Scientists  Principal Investigator  21K13818 

• Stability theory for the nonlinear partial differential equations with new dissipative structures

  Project Period (FY)： 2017/08  -  2019/03  Investigator(s): Mori Naofumi

  Grant-in-Aid for Research Activity start-up  Principal Investigator  17H07302 

  The Timoshenko system was considered by introducing Cattaneo's type heat conduction or memory, respectively. Consequently, their dissipative structures were well characterized and optimal decay estimates were shown. Besides, the global existence and uniqueness were obtained. Note that all of the results were proved under the minimal regularity assumption only on the small initial data.
  Also, by generalized above results, the new stability condition was established, which could be applicable to more examples than any other condition.

Lesson Subject 【 display / non-display 】

Lesson Subject 【 display / non-display 】