CREST: Center for Systems Science Research

田纳西州立大学跨学科和多学科的系统科学研究中心(CSSR)的主要目标是建立一个永久性的研究基地，提供高质量的、可发表的研究成果，提高少数族裔学生和教师的参与度，让少数族裔学生和教师参与中心的所有组成部分，并通过一个地区性资源中心，加强田纳西州和肯塔基州的HBCU的科学和工程意识。CSSR的范围很广，包含四个工程/科学部分，它们试图应用各种形式的数学模型来理解复杂物理系统的行为。这些部分将研究：(1)最优和鲁棒控制的新方法，(2)复杂天体物理系统的建模，(3)大规模动态系统在随机结构扰动下的行为，以及(4)多相复杂流动的建模。第一个组成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的控制器，以纳入现代的稳健性和最优化思想。广泛利用TSU自动化天文台的能力，天体物理部分将模拟具有磁活动的类太阳恒星的光度变化，搜索太阳系外行星，改进冷恒星的演化模型，模拟恒星的表面结构，并调查广泛的恒星爆发。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积分-微分方程组和偏微分方程组的线性和非线性系统的研究，并将制定、发展和分析研究此类系统的概率、分析和数值方法。第四个工程部分旨在模拟具有相变的多相复杂流动，特别关注分散或填充固体颗粒的三维对流溶胶化和熔化。

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.