International Research Fellow Awards: Large Time Behavior of Solutions to Nonlinear Hyperbolic-Parabolic Systems of Conservation Laws with Non-Strict Hyperbolicity

9704618曾国际研究员奖励计划使美国科学家和工程师能够在国外进行为期3至24个月的研究。该项目的奖项提供了联合研究的机会，并提供了使用国外独特或互补的设施、专业知识和实验条件的机会。这一奖项将支持曾雅妮博士为期三个月的博士后研究访问，与海因里希·弗里斯图勒博士在德国亚琛的毛皮数学研究所合作。另外三个月将由伯明翰阿拉巴马大学提供支持。曾博士将研究冲击波的稳定性。她将研究一个系统，它是一类广泛的非线性偏微分方程组的典型例子，它与状态方程一起确定了在磁场存在时导电流体的平面波。她将研究解的大时间行为。Freistuhler博士在非严格双曲型系统领域有专长，曾博士在双曲-抛物型方程组方面有专长。他们希望从物理上解决磁流体动力学(MHD)方程和类似系统的激波稳定性问题，并达到对此类系统进行定性分析的目的。***

9704618 Zeng The International Research Fellow Awards Program enables U.S. scientists and engineers to conduct three to twenty four months of research abroad. The program's awards provide opportunities for joint research, and the use of unique or complementary facilities, expertise and experimental conditions abroad. This award will support a three-month postdoctoral research visit by Dr. Yanni Zeng to work with Dr. Heinrich Freistuhler at the Institut fur Mathematik in Aachen, Germany. An additional three months will be supported by the University of Alabama at Birmingham. Dr. Zeng will study shock wave stability. She will investigate a system which is a typical example of a broad class of nonlinear partial differential equations that together with the equation of state, determine the plane waves of a conducting fluid in the presence of a magnetic field. She will study the large time behavior of the solution. Dr. Freistuhler has expertise in the field of non- strictly hyperbolic systems and Dr. Zeng's expertise is on hyperbolic-parabolic systems. Together they hope to solve the shock wave stability for magnetohydrodynamics (MHD) equations and similar systems from physics, and achieve their goal of qualitative analysis for such systems. ***