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

国际研究员奖：非严格双曲性守恒定律非线性双曲-抛物线系统解的大时间行为

• 批准号: 9704618
• 负责人: Yanni Zeng
• 金额: $ 1.18万
• 依托单位: University of Alabama at Birmingham
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-01 至 1998-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9704618&HistoricalAwards=false
• 关键词: International; Research; Fellow; Awards; Large

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. ***

小行星9704618 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三到二十四个月的研究。该计划的奖项提供了联合研究的机会，以及使用国外独特或互补的设施，专业知识和实验条件。 该奖项将支持Yanni Zeng博士在德国亚琛数学研究所与Heinrich Freistuhler博士进行为期三个月的博士后研究访问。 另外三个月将由伯明翰的亚拉巴马大学提供支助。 曾博士将研究冲击波稳定性。 她将研究一个系统，这是一个典型的例子，广泛的一类非线性偏微分方程，连同状态方程，确定平面波的导电流体中存在的磁场。她将研究该溶液的长时间行为。 Freistuhler博士在非严格双曲系统领域具有专长，而Zeng博士的专长是双曲抛物系统。 他们希望共同解决磁流体动力学（MHD）方程和类似系统的激波稳定性问题，从物理学角度实现对这类系统定性分析的目标。***