Understanding plasticity of metals through mean-field limits of stochastic interacting particle systems

Research Project

Project/Area Number	24K06843
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Review Section	Basic Section 12040:Applied mathematics and statistics-related
Research Institution	Kanazawa University
Principal Investigator	VANMEURS PATRICK 金沢大学, 数物科学系, 准教授 (20815378)
Project Period (FY)	2024-04-01 – 2029-03-31
Project Status	Granted (Fiscal Year 2024)
Budget Amount *help	¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000) Fiscal Year 2028: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000) Fiscal Year 2027: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2026: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2025: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000) Fiscal Year 2024: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords	particle system / SDE / plasticity / mean-field limit
Outline of Research at the Start	The ultimate goal is to improve the mechanical properties (strength, durability etc.) of metals. One of the key difficulties for achieving this goal is a mathematical problem close to my expertise. I will try to solve it by using the recent advances within this field of mathematics.