U.S.-Italy Cooperative Research: Research in Kinetic Theory and Kinetic Models of Hydrodynamic Behavior

9811588 Carlen这个为期三年的奖项支持美国和意大利在缩放限制领域的合作研究，该领域涉及格鲁吉亚理工学院的Eric Carlen和Shi Jin，帕维亚大学的Ester Gabetta，Ugo Ginazza，Giovanni Naldi和Guiseppe Toscani，以及意大利费拉拉大学的Lorenzo Pareschi之间的物理现象的流体动力学和动力学模型。 研究将在数字和分析框架内进行。 研究人员希望在将各种物理现象的动力学和流体动力学描述联系起来的问题上，提供新的实践和理论依据。 美国和意大利的研究人员将他们在平滑估计、Wild展开的受控截断、流体动力学问题的数值解以及多尺度输运方程的稳健数值方法方面的专业知识带到了这次合作中。

9811588CarlenThis three-year award supports US-Italian collaborative research in the area of scaling limits relating hydrodynamic and kinetic models of physical phenomena between Eric Carlen and Shi Jin, Georgia Institute of Technology, and Ester Gabetta, Ugo Ginazza, Giovanni Naldi, and Guiseppe Toscani at the University of Pavia, and Lorenzo Pareschi at the University of Ferrara in Italy. The research will be undertaken in both a numeric and analytic framework. The investigators expect to shed new practical and theoretical light on the problem of relating the kinetic and hydrodynamic descriptions of a wide range of physical phenomena. The US and Italian investigators bring to this collaboration their expertise in smoothness estimates, controlled truncation of the Wild expansion, the numerical solution of hydrodynamic problems, and robust numerical methods for multiscale transport equations.