U.S.-China Cooperative Research (Math): Shock Wave Theory

斯坦福大学刘太平博士和应龙安博士 将在冲击波理论方面进行合作。 应教授是一位杰出的数学家， 北京 他从事数值分析，部分 微分方程和数学建模，以及 开创了计算中无限元素的概念。 最近的工作一直在定性的燃烧行为 双曲型偏微分方程的波动和有限差分 方程 合作将侧重于离散冲击的行为， 耗散对燃烧波的影响，以及其他 非线性系统的稳定性和不稳定性问题 双曲型和粘性守恒律的波动。 教授 Ying在数值分析和无粘燃烧方面的经验 波很好地补充了PI对耗散的兴趣， 守恒定律

Dr. Tai-Ping Liu, Stanford University, and Dr. Long-an Ying of Peking University will collaborate on shock wave theory. Professor Ying is a leading mathematical scientist in Beijing. He has worked on numerical analysis, partial differential equations and mathematical modeling, and pioneered the concept of infinite elements in computations. Recent work has been on the qualitative behavior of combustion waves and finite difference for hyperbolic partial differential equations. Collaboration will focus on the behavior of discrete shocks, the effects of dissipation on combustion waves, and other issues on the nonlinear stability and instability of nonlinear waves for hyperbolic and viscous conservation laws. Professor Ying's experience in numerical analysis and inviscid combustion waves complement well the PI's interest in dissipations for conservation laws.