Mathematical Sciences: "Research in Dynamical Systems"

9504760 Franks拟议的研究涉及动力系统的各个方面：表面映射的动力学、各种流动的稳定性理论、在天体力学和哈密顿系统中的应用都是要追求的主题。地表流动的动力学--稳定性问题和区域保护问题--与理解许多自然现象和预测它们的长期行为直接相关。例如，拟议的研究可能有助于更好地理解涉及浅水波的海洋动力学中出现的大规模流体流动问题。

9504760 Franks The proposed research pertains to various aspects of dynamical systems: the dynamics of surfaces maps, stability theory for various flows, applications to celestial mechanics and Hamiltonian systems are among the topics to be pursued. Dynamics of surfaces flows - stability issues as well as area conservation issues - is directly relevant to understanding many natural phenomena and predicting their long time behavior. For example, the proposed research may lead to a better understanding of large scale fluid flow problems arising in ocean dynamics involving shallow water waves.