U.S.-France Cooperative Research: Nonlinear Analysis with Applications to Mathematical Physics, Mechanics and Finance

小行星9314077 这个为期三年的奖项支持美国-法国威斯康星州大学数学科学中心和巴黎-多芬大学之间的应用数学合作研究。 美国队的队长是帕纳约蒂斯·E。他的法国同行是皮埃尔-路易斯·狮子。 他们的研究是在非线性，偏微分方程和数学分析的一般领域。 该项目侧重于变分问题，完全非线性椭圆方程，守恒定律的动力学理论，广义前沿传播和金融数学模型。利用几乎所有这些领域的互补专业知识，研究人员将组成小组，以解决应用于实际案例的建模，理论和数值分析。 这些问题在理论物理、力学、生物学、化学和金融学中有重要的应用。 ***

9314077 Souganidis This three-year award supports U.S.-France cooperative research in applied mathematics between the Center for Mathematical Sciences, University Wisconsin and the University of Paris- Dauphine. The U.S. team leader is Panagiotis E. Souganidis, and his French counterpart is Pierre-Louis Lions. Their research is in the general area of nonlinear, partial differential equations and mathematical analysis. This project emphasizes variational problems, fully nonlinear elliptic equations, kinetic theory of conservation laws, generalized front propagation and mathematical models in finance. Taking advantage of complementary expertise in almost all these areas, the investigators will form small groups to address modelling, theoretical and numerical analysis as applied to practical cases. These problems have important applications in theoretical physics, mechanics, biology, chemistry and finance. ***