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MORI Naofumi
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Research Interests 【 display / non-display 】
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双曲型保存則系,安定性解析,消散構造,非線形偏微分方程式
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安定性解析
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消散構造
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非線形偏微分方程式
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双曲型保存則系
Research Areas 【 display / non-display 】
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Informatics / Mechanics and mechatronics
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Natural Science / Mathematical analysis / 函数方程式論
Papers 【 display / non-display 】
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Decay property for symmetric hyperbolic system with memory-type relaxation
Naofumi Mori, Mari Okada, Shuichi Kawashima , 2024.01
Analysis and Applications
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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
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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
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Decay property for symmetric hyperbolic system with memory-type diffusion
Mari Okada , Naofumi Mori , Shuichi Kawashima , 2021.03
Journal of Differential Equations
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Simulation verification for the robustness of passive compass gait with a joint stiffness adjustment
Hitoshi Kino, Kosuke Sakata, Mitsunori Uemura & Naofumi Mori , 2019.10
Advanced Robotics
Grant-in-Aid for Scientific Research 【 display / non-display 】
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Project Period (FY): 2021/04 - 2024/03 Investigator(s): 森直文
Grant-in-Aid for Young Scientists Principal Investigator 21K13818
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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 】
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Lesson Subject(Undergraduate)
Basic Calculus Ⅰ
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Basic Calculus Ⅱ
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Mathematical Analysis
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Physical Mathematics
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Environmetal Information Analysis Ⅱ
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Linear Algebra
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Lesson Subject(Graduate School)
Mathematical Fluid Dynamics