CREST: Center for Systems Science Research

田纳西州立大学的跨和多学科系统科学研究中心（CSSR）的主要目标是建立一个永久性的研究基地，以产生高质量的、可发表的研究，提高少数民族学生和教师在所有中心组成部分的参与度，并通过一个区域资源中心，加强田纳西州和肯塔基州HBCU的科学和工程意识。CSSR的范围很广，包含四个工程/科学组成部分，它们寻求应用各种形式的数学模型来理解复杂物理系统的行为。这些组成部分将研究：(1)最优鲁棒控制的新方法，(2)复杂天体物理系统的建模，(3)随机结构扰动下大尺度动态系统的行为，以及(4)多相复杂流的建模。第一部分旨在开发一种实用的面向设计的系统控制方法，其中可以设计低阶和固定结构控制器，以结合鲁棒性和最优性的现代思想。广泛利用TSU自动化天文台的能力，天体物理组件将模拟具有磁活动的类太阳恒星的光度变化，寻找太阳系外行星，完善冷恒星演化模型，模拟恒星表面结构，并研究大范围的恒星爆发。第三个研究部分将扩展在内部和环境随机变化扰动影响下的线性和非线性积分-微分和偏微分方程系统的研究，并将制定、发展和分析这些系统的概率、解析和数值方法。第四个工程组件旨在模拟具有相变的多相复杂流动，并特别关注分散或堆积固体颗粒的三维对流溶胶固化和熔化。

The inter- and multi-disciplinary Center for Systems Science Research (CSSR) at Tennessee State University has as its primary objective to establish a permanent research base which produces quality, publishable research, enhances the participation and substantially involves minority students and faculty in all Center components, and through a regional resource center, strengthens science and engineering awareness at HBCU's in Tennessee and Kentucky. The CSSR is broad in scope and contains four engineering/science components which seek to apply various forms of mathematical models to understand the behavior of complex physical systems. These components will investigate: (1) a new approach to optimal and robust control, (2) the modeling of complex astrophysical systems, (3) the behavior of large- scale dynamic systems under stochastic structural perturbations, and (4) the modeling of multiphase complex flows. The first component intends to develop a practical design-oriented approach to system control wherein low order and fixed structure controllers can be designed to incorporate modern ideas of robustness and optimality. Extensively utilizing the capabilities of the TSU automated observatory, the astrophysics component will model the luminosity changes of Sun-like stars with magnetic activity, search for extra-solar planets, refine the model of evolution of cool stars, model the surface structure of stars, and investigate a wide range of stellar eruptions. The third research component will expand studies of linear and nonlinear systems of integro-differential and partial differential equations under the influence of both internal and environmental randomly varying perturbations and will formulate, develop, and analyze both probabilistic, analytic, and numerical methods for the study of such systems. The fourth engineering components aims at modeling multiphase complex flows with phase changes and specifically focuses on three-dimensional convective sol idification and melting of dispersed or packed solid particles.