Mathematical Sciences: Compressible Magnetoconvection

8822287 Roberts首席研究员将研究导电流体水平层中产生的非线性对流。该层从下面加热，从上面冷却，绕垂直方向旋转，并被施加的水平磁场渗透。这代表了自然界中出现的条件的理想化，例如在太阳对流区。这样一个系统的不寻常的特征，也是这个项目的动机，包括理论和观测的暗示，对流的模式通常会随着高度而变化。本项目将详细研究这种可能性。

8822287 Roberts The principal investigator will study nonlinear convection arising in a horizontal layer of electrically conducting fluid. The layer is heated from below, cooled from above, is rotating about the vertical, and is permeated by an applied horizontal magnetic field. This represents an idealization of conditions that arise in nature, e.g. in the solar convection zone. The unusual feature of such a system, the feature that motivates this project, consists of theoretical and observational hints that the pattern of convection will in general vary with height. This possibility will be studied in detail in this project.